first off let's find the slope of M
[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{-8})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{1}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{1}-\stackrel{y1}{(-8)}}}{\underset{\textit{\large run}} {\underset{x_2}{1}-\underset{x_1}{(-2)}}} \implies \cfrac{1 +8}{1 +2} \implies \cfrac{ 9 }{ 3 } \implies \text{\LARGE 3}[/tex]
now, any line that intersects M will have a different slope than M, and since they're both lines and going to infinity, they will intersect at some point, so let's check those points for their slope, who is different than M's
[tex]\boxed{A}\qquad (\stackrel{x_1}{0}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{5}-\stackrel{y1}{2}}}{\underset{\textit{\large run}} {\underset{x_2}{1}-\underset{x_1}{0}}} \implies \cfrac{ 3 }{ 1 } \implies 3 ~~ \bigotimes \\\\[-0.35em] ~\dotfill[/tex]
[tex]\boxed{B}\qquad (\stackrel{x_1}{-2}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{14}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{14}-\stackrel{y1}{(-1)}}}{\underset{\textit{\large run}} {\underset{x_2}{3}-\underset{x_1}{(-2)}}} \implies \cfrac{14 +1}{3 +2} \implies \cfrac{ 15 }{ 5 } \implies 3 ~~ \bigotimes \\\\[-0.35em] ~\dotfill[/tex]
[tex]\boxed{C}\qquad (\stackrel{x_1}{2}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{-5}~,~\stackrel{y_2}{-20}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-20}-\stackrel{y1}{1}}}{\underset{\textit{\large run}} {\underset{x_2}{-5}-\underset{x_1}{2}}} \implies \cfrac{ -21 }{ -7 } \implies 3 ~~ \bigotimes \\\\[-0.35em] ~\dotfill[/tex]
[tex]\boxed{D}\qquad (\stackrel{x_1}{-3}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{6}-\stackrel{y1}{(-2)}}}{\underset{\textit{\large run}} {\underset{x_2}{2}-\underset{x_1}{(-3)}}} \implies \cfrac{6 +2}{2 +3} \implies \cfrac{ 8 }{ 5 } ~~ \textit{\LARGE \checkmark}[/tex]
PLEASE HELP 10 points
a counting process {nt} is a pp if and only if it is a renewal process in which the interarrival times have an exponential distribution function.
True. A counting process {N(t)} is a Poisson process(PP) if and only if it is a renewal process in which the interarrival times have an exponential distribution function.
A counting process is a mathematical model used to count the number of events that occur over time. A Poisson process is a specific type of counting process in which the number of events occurring in any given time interval is independent of the number of events that have occurred in any previous interval.
A renewal process is a type of counting process in which the arrival of events resets the process so that the future events are independent of the past events. The interarrival time between two events in a renewal process is the time between the arrival of one event and the arrival of the next.
Complete Question:
T/F. a counting process {nt} is a pp if and only if it is a renewal process in which the interarrival times have an exponential distribution function.
What kind of angle is this
Shania wants to purchase a book bag with an original price of $28.00. The store has a sales tax of six percent and is offering a 20% discount. Her mom wants her to determine the actual price before they go to the store. Which price is correct?
Answer:
I do not see a correct answer posted...see below
Step-by-step explanation:
20 % OFF means you pay 80 % ( 80% is .80 in decimal)
.80 * 28 = $ 22.40 after discount (before tax)
now you need to add the 6% tax
.06 * 22.40 = 1.34 added to the 22.40 = $ 23.74 AFTER TAX
Lian is making a banner for the school gym. She cut three pieces of fabric into congruent isosceles triangles, as shown. Trigonometric area formula: Area = 1/2absin(c) To the nearest square inch, how much fabric will she use to make all three triangles? 139 square inches 172 square inches 417 square inches515 square inches
The nearest square inch gives a total of 61 square inches of fabric used to make all three triangles.
The trigonometric area formula is used to calculate the area of a triangle. The formula is Area = 1/2absin(c), where a and b are the lengths of two sides of the triangle, and c is the angle between the two sides. In this case, Lian is making three congruent isosceles triangles, so all three triangles have the same base and height, and the same angle at the vertex. Therefore, the area of each triangle is the same. The base and height of the triangle can be calculated using the side lengths, and the angle can be calculated using the theorem of cosines. For example, the base of the triangle is 11 cm, the height is 8 cm, and the angle at the vertex is 62 degrees. Therefore, the area of each triangle is 1/2*11*8*sin(62) = 52 square cm. Multiplying this by three gives a total area of 156 square cm. Converting this to square inches gives 156*0.3937 = 61.4 square inches. Rounding to the nearest square inch gives a total of 61 square inches of fabric used to make all three triangles.
Learn more about trigonometric area here:
https://brainly.com/question/28341647
#SPJ4
Please help me answer this :)
extra points
The values in the table do not represent the function.
What is a function?A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.
Given:
A data table.
The table does not represent the function.
Because the input value of -3 connected to two points 1 and 0.
Therefore, it is not a function.
To learn more about the function;
brainly.com/question/28303908
#SPJ1
How does a recipient not-for-profit entity record the receipt of a gift that will be transferred without restriction to another charitable entity? What if the donor retains the right to revoke or redirect the gift?
When a recipient not-for-profit entity receives a gift for transfer to another charitable entity, it records it as revenue upon receipt.
If the donor retains the right to revoke or redirect the gift, it's recognized as a "Contribution Receivable" liability until the restrictions lapse or are fulfilled. Consult accountants for proper accounting.
When a recipient not-for-profit entity receives a gift that will be transferred without restriction to another charitable entity,
The accounting treatment typically involves two steps:
Recognition on Receipt:
The recipient not-for-profit entity should recognize the gift as revenue or contribution in its financial records upon receipt.
This is because the organization has legal control and possession of the gift, even if it intends to transfer it to another charitable entity.
The accounting entry will depend on the nature of the gift received ( cash, securities, in-kind donation).
Classification as a "Contribution to be Transferred":
The second step involves classifying the received gift as a "Contribution to be Transferred" on the recipient's balance sheet.
This classification reflects that the entity intends to pass the gift along to another charitable entity
and that the funds are not restricted for use within the recipient organization.
If the donor retains the right to revoke or redirect the gift,
The recipient not-for-profit entity should follow the guidelines for recognizing contributions subject to donor restrictions.
Until the restrictions lapse or are fulfilled, the contribution should be recorded as a liability ( "Contribution Receivable").
Accounting for contributions with donor-imposed restrictions can be complex,
and the specific treatment will depend on the terms of the gift and applicable accounting standards.
It's essential for the not-for-profit organization to consult with its accountants
or financial advisors to ensure compliance with relevant accounting principles and reporting requirements.
Also, it's important to note that accounting standards and regulations may vary across different countries or regions,
so organizations should adhere to the accounting principles applicable in their specific jurisdiction.
Learn more about entity here
brainly.com/question/32247705
#SPJ2
Which of the following ordered pairs lies on the graph of y = 1/2x?
The ordered pair that lie on the graph of y = 1/2 x are A and B - (0, 0), (1, 2)
What is a line equation?
The equation of a line can be constructed using the slope of the line and a point on the line. Let's learn more about the line's slope and the crucial point on the line in order to better understand how the equation for a line is created. The line's inclination with respect to the positive x-axis is measured by its slope, which can be expressed as an integer number, a fraction, or the tangent of the angle it makes with the x-axis. The point is the intersection of the x and y coordinates in the coordinate system.
The line's equation is as follows:
y = 1/2 x
To check which ordered pair lie on the graph of the given equation of line, we substitute the values of x and y coordinate in the equation.
1. (0, 0)
y = 1/2 x
0 = 1/2 (0)
True.
2. (1, 2)
y = 1/2 x
1 = (1/2) (2) = 1
True
3. (2, 1)
y = 1/2 x
2 = 1/2 (1)
False
4. (3, 4)
y = 1/2 x
3 = (1/2) (4) = 2
False
5. (4, 2)
y = 1/2 x
4 = (1/2)(2) = 1
False
Hence, the ordered pair that lie on the graph of y = 1/2 x are A and B.
Learn more about equation of line here:
brainly.com/question/21511618
#SPJ1
Complete question -
Which of the following ordered pairs lies on the graph of y = 1/2x?
1. (0, 0)
2. (1, 2)
3. (2, 1)
4. (3, 4)
5. (4, 2)
For the pair of functions, find the indicated sum, difference, product, or quotient. f(x) = x² + 1, g(x) = 9x + 5 Find (fg)(x).
Answer:The product of the two functions, f and g, is given by fg(x) = (x² + 1)(9x + 5). This can be expanded to give fg(x) = 9x³ + 14x² + 5x + 5.
Step-by-step explanation:
This morning Haidar noticed that her dog, Aldi, seemed unwell. She took him to the vet, where he was diagnosed with an ear infection. The veterinarian prescribed an antibiotic called amoxicillin to help Aldi feel better. Haidar will give Aldi 150 mg of the antibiotic once each day for 10 days. Each time Haidar gives Aldi his next dose of medication, 40% of the previous dose remains in his bloodstream. Use what you know about recursive sequences and iteration to explore the mathematics related to this scenario.
Use your response to question 1 to write a recursive definition for the amount of medication in Aldi’s bloodstream after each dose of medication. Is your definition arithmetic, geometric, or neither? Explain.
PLEASE MAKE SURE TO ADD THE DEFINITION :)
The solution is , 225 mg remain in Aldi bloodstream.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
150mg of amoxicillin was given daily for 10 days equals 1,500
of the 1500-40% =600mg
so, we get,
600mg divided by 4 days
= 225mg still in blood stream
Hence, The solution is , 225 mg remain in Aldi bloodstream.
To learn more on percentage click:
brainly.com/question/13450942
#SPJ1
avid has a bag of coins. The bag contains 9 dimes, 4 nickels, and 3 pennies. He will randomly select 2 coins from the bag one at a time without replacement. What is the probability that David will select a nickel first and then a dime.
Answer: 1/4.
Step-by-step explanation:
The probability of selecting a nickel first and then a dime is calculated as follows:
Step 1: Determine the number of successful outcomes. There are 4 nickels and 9 dimes in the bag, so there are 4 successful outcomes of selecting a nickel first.
Step 2: Determine the number of possible outcomes. Since David is selecting 2 coins from the bag one at a time without replacement, the number of possible outcomes is 16 (9 + 4 + 3).
Step 3: Calculate the probability. The probability of selecting a nickel first and then a dime is 4/16 = 1/4.
So, the probability that David will select a nickel first and then a dime is 1/4.
the numbers 1, 2, 3, 4, 5, 6, 7, and 8 are randomly written on the faces of a regular octahedron so that each face contains a different number. the probability that no two consecutive numbers, where 8 and 1 are considered to be consecutive, are written on faces that share an edge is where and are relatively prime positive integers. find .
The probability of no two consecutive numbers written on the faces that share an edge is given by P = (7! - 16) / (2 * 8) = 105/16.
The probability of no two consecutive numbers written on the faces that share an edge is given by the formula P = (n–1)!/(2n), where n is the number of faces (in this case 8). Applying this formula, the probability of no two consecutive numbers written on the faces that share an edge is P = 7!/16 = 105/16. Therefore, the answer is 105/16.
To calculate this probability, we must first consider the number of ways in which the numbers can be written on the faces of the octahedron so that no two consecutive numbers appear on faces that share an edge. There are 7! (7 factorial, i.e. 1 * 2 * 3 * 4 * 5 * 6 * 7) total ways in which the numbers can be written on the faces, but among these, there are some arrangements in which two consecutive numbers appear on faces that share an edge. To find the number of these arrangements, we can consider the number of ways in which the numbers can be written on the faces of the octahedron so that two consecutive numbers appear on faces that share an edge. There are 8 pairs of consecutive numbers, and for each pair, there are 2! (2 factorial, i.e. 1 * 2) ways in which the two numbers can be written on faces that share an edge. Thus, the total number of ways in which two consecutive numbers appear on faces that share an edge is 8 * 2! = 16.
Therefore, the probability of no two consecutive numbers written on the faces that share an edge is given by P = (7! - 16) / (2 * 8) = 105/16.
Learn more about consecutive numbers here:
https://brainly.com/question/29775116
#SPJ4
25 POINTS!! PLEASE HELP!! i only need the answers for the circled problems
18. With a deposit of $375 in a savings account earning 2.75% interest compounded annually, the interest for the given amounts of time is as follows:
a) $10.31b) $54.48c) $270.16.How is the interest computed?Compound interest operates on a system of computing interest to accumulated interest, unlike the simple interest system.
To find the interest for the given periods, we can use an online finance calculator, which also shows the future value (compounded present value).
We can also manually compute the interest, using the FV table or factor and deducting the present investment from the future value.
Compounded Interest for 1 Year:N (# of periods) = 1 year
I/Y (Interest per year) = 2.75%
PV (Present Value) = $375
PMT (Periodic Payment) = $0
Results:
FV = $385.31
Total Interest = $10.31 ($375 x 2.75%)
Compounded Interest for 5 Years:N (# of periods) = 5 years
I/Y (Interest per year) = 2.75%
PV (Present Value) = $375
PMT (Periodic Payment) = $0
Results:
FV = $429.48
Total Interest = $54.48
Compounded Interest for 20 Years:N (# of periods) = 20 years
I/Y (Interest per year) = 2.75%
PV (Present Value) = $375
PMT (Periodic Payment) = $0
Results:
FV = $645.16
Total Interest = $270.16
Learn more about compound interest at https://brainly.com/question/24274034
#SPJ1
Question Completion:18: You deposit $375 in a savings account that earns 2.75% interest compounded yearly. Find the interest earned by the account after the given amounts of time.
a) 1 year
b) 5 years
c) 20 years
describe the x-values at which f is differentiable. (enter your answer using interval notation.) f(x)
The x-values at which the function f(x) is differentiable are all real numbers, excluding those values where the derivative is undefined. This can be expressed using interval notation as (-∞, -4) ∪ (-4, 0) ∪ (0, 4) ∪ (4, ∞).
The function mentioned is a continuous function on the interval 4 < x < 5, h(x), which is described in the table provided. This function has a vertical asymptote at 4 and 5, meaning that its values approach positive or negative infinity at these points.
The function's domain is 4 < x < 5, meaning that it is defined and can take a value for any x within this interval. The function's range is not specified, so it can take any value for an x within the given interval. Additionally, the function is differentiable for all values of x within the given interval, meaning that its rate of change can be calculated using derivatives.
Learn more about functions:
https://brainly.com/question/22340031
#SPJ4
a father is 7 times older than his son and his son is 24 years younger than his father how old is each now
The father age is now 168 years old and the son is now 24 years old.
Father's age = 7 times the son's age
7x = (Father's age) - (son's age)
7x = 168 - 24
7x = 144
x = 144/7
x = 24
Therefore, the father is 168 years old and the son is 24 years old.
The father is currently 168 years old and the son is 24 years old. This is because the father is seven times older than his son and 24 years older than his son.
The complete question is :
A father is seven times older than his son and his son is 24 years younger than his father. How old is each now?
learn more about age here
https://brainly.com/question/14159240
#SPJ4
pls help will mark brainliest asapb
When pentagon ABCDE is translated 2 units down, dilated by a scale factor of 1/2 units and reflected over the x-axis, it will map into pentagon FGHIJ. This proves that the pentagons are similar.
What is a dilation?A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.
The transformations to this problem are given as follows:
Translation 2 units down -> the new pentagon is closer to the origin.Dilation by a scale factor of 1/2.Reflection over the x-axis.More can be learned about dilation at brainly.com/question/3457976
#SPJ1
Can you help please
Answer: 1/3
Step-by-step explanation:
5/15 = 1/3
10/30 = 1/3
6/18 = 1/3
9/27 = 1/3
2/6 = 1/3
Heritage Company uses a job-order costing system to assign costs to jobs. It had no work in process or finished goods inventories on hand at the beginning of May. The table below provides data concerning the only three jobs worked on in May.
Job X Job Y Job Z
Direct labor hours 200 80 120
Direct materials $ 4,800 $ 1,800 $ 3,600
Direct labor $ 2,400 $ 1,000 $ 1,500
Jobs X and Y were completed in May; however, only 150 of the 200 units included in Job X were sold in May, whereas all 100 of Job Y’s units were sold in May. Job Z was not completed by the end of the month.
Overhead costs are applied to jobs based on direct labor-hours and the predetermined overhead rate is $45 per direct labor-hour. The company’s total applied overhead always equals its total actual overhead.
Required:
Compute the amount of overhead cost that would have been applied to each job during May.
Compute the work in process inventory that would be reported in the company’s May 31 balance sheet.
Compute the finished goods inventory that would be reported in the company’s May 31 balance sheet.
Compute the cost of goods sold that would be reported in the company’s income statement for May.
a) The amount of overhead cost that would have been applied to each job during May, based on the predetermined overhead rate, was as follows:
Job X Job Y Job Z
Overhead applied $9,000 $3,600 $5,400
b) The work-in-process inventory reported in the company's May 31 balance sheet was $10,500 for Job Z only.
c) The finished goods inventory that would be reported in the company’s May 31 balance sheet was $4,050.
d) The cost of goods sold that would be reported in the company's income statement for May was $14,500.
What is the predetermined overhead rate?The predetermined overhead rate is the rate per unit at which overhead costs are applied to production units or jobs.
The predetermined overhead rate is the quotient of the total budgeted overhead cost divided by the relevant total cost driver units (e.g. direct labor hours).
Predetermined overhead rate = $45 per direct labor-hour
Job X Job Y Job Z
Direct labor hours 200 80 120
Direct materials $4,800 $1,800 $3,600
Direct labor 2,400 1,000 1,500
Overhead applied 9,000 3,600 5,400
($45 x 200) ($45 x 80) ($45 x 120)
Production costs $16,200 $6,400 $10,500
Unit costs of Job X $81 ($16,200/200)
Sold units of Job X = 150
Unsold units of Job X = 50 (200 - 150)
Work in process inventory = Job Z's total cost.
Finished Goods Inventory = $4,050 ($81 x 50)
Cost of Goods Sold = $14,500 ($6,400 + $81 x 100)
Learn more about the predetermined overhead rate at https://brainly.com/question/4337723
#SPJ1
m∠CFG = 129o and m∠HFD = 93o, find each missing measure.
The measure of each angle ∠EFG, ∠HFD, DFG, GFC, and CFE will be 36°, 93°, 51°, 129°, and 51°, respectively.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
Angle ∠CFG and angle ∠HFD are vertically opposite angles. Then we have
y + 93° = 129°
y = 36°
Angle ∠EFC and angle ∠CFG are supplementary angles. Then we have
x + 129° = 180°
x = 51°
Then the measure of each angle ∠EFG, ∠HFD, DFG, GFC, and CFE will be 36°, 93°, 51°, 129°, and 51°, respectively.
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ1
The missing diagram is given below.
determine if the ordered pair (6, 4) is a solution to the inequality
Y > -1/2x + 7 
Yes, because (6, 4) is above the line
No because (6, 4) is below the line
Yes, because (6, 4) is on the line
No, because (6, 4) is on the line
The ordered pair (6, 4) is not a solution to the inequality Y > - (1/2)x + 7 as,
No, because (6, 4) is below the line.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Given, An inequality Y > - (1/2)x + 7.
Form for the ordered pair (6, 4) we have,
4 > - (1/2)×4 + 7.
4 > - 2 + 7.
4 > 5 which is not true.
Therefore, The ordered pair is not a solution to the inequality.
learn more about inequalities here :
https://brainly.com/question/28823603
#SPJ1
Angela belongs to a baking
club. She pays a one-time
membership fee and then.
receives baking recipes and
supplies at a discounted rate.
After receiving 4 recipes,
Angela had spent $85. After
receiving 10 recipes, she had
spent $160. Write an equation
to represent this situation.
Please help.
The equation to represent the situation is y = 12.5x + 35
How use equation to represent a situation?Angela belongs to a baking club. After receiving 4 recipes, Angela had spent $85. After receiving 10 recipes, she had spent $160.
The situation represent a linear equation. Therefore, the equation to represent the situation is as follows;
Using slope intercept form,
y = mx + b
where
m = slopeb = y-interceptTherefore,
using (4, 85) and (10, 160)
slope = m = 160 - 85 / 10 - 4
m = 75 / 6
m = 12.5
Therefore, let's find y-intercept using (10, 160)
160 = 12.5(10) + b
160 - 125 = b
b = 35
Hence, the equation is y = 12.5x + 35
learn more on equations here: https://brainly.com/question/14270575
#SPJ1
A geometric sequence begins with 5 -15 45 -135 405 which option below represents the formula for the sequence
The formula for the geometric sequence above is Tₙ= 5. (-3⁽ⁿ⁻¹⁾)
How to find formula (Tₙ)In geometric sequence, the general formula of geometric sequence is:
Tₙ= ar⁽ⁿ⁻¹⁾
Information:
Tₙ = the n-th term
a = first term
r = ratio
n = the number of terms
In the question above,
a= 5
r= T2/T1=-15/5=-3 (This is the ratio)
Substitute the value of a and r to the formula of Tₙ:
Tₙ= ar⁽ⁿ⁻¹⁾
Tₙ= 5. (-3⁽ⁿ⁻¹⁾)
So the formula of Tₙ for the sequence above is Tₙ= 5. (-3⁽ⁿ⁻¹⁾)
In the above formula there is a ratio of geometric sequences. In a geometric sequence, two successive terms have the same ratio. Comparisons to geometric sequences are referred to as ratios (r). This is where the quotient of adjacent terms will be obtained.
Learn more about geometric sequences brainly.com/question/585785.
#SP1
Mike and Emily are brother and sister. Mike has as many brothers as sisters, and Emily has three times as many brothers as sisters. How many boys and girls are there in this family?
Answer: boys and girls.
The number of boys and girls in the family would be = 2 and 3 respectively.
How to calculate the number of boys and girls?The siblings are Mike and Emily which are brother and sister. That is 1:1 = boy : girl
The number of brothers Mike has = number of sisters he has. That is ; number of brothers= number of sisters.
The number of brothers Emily has = 3× number of girls
Let the number of girls in the family be x.
Let the number of boys in the family be y.
Also the number of brothers Emily has is equal to 1 less than the number of boys in the family, i.e. (y - 1).
One less because Steve himself is excluded.
Hence, 3(y-1)= X
3y -3 = x ---> equation 1
Also, it is given that Mike has as many brothers as sisters.
Now, the number of brothers Mike has is equal to the number of boys in the family, i.e., y. Also, the number of sisters Mike has is equal to 1 less than the number of girls in the family, i.e. (x-1). One less because Emily herself is excluded.
Hence, y = x- 1 ---> equation 2
Putting, the value of x from the first equation into the second equation, we get:
y= (3y-3)-1
y = 3y-4
2y = 4
y = 4/2 = 2
Therefore X = y+1 = 2+1 = 3
Learn more about addition here:
https://brainly.com/question/25421984
#SPJ1
the following results were obtained when the reaction represented above was studied at 25oc. experiment initial [clo2] initial [f2] initial rate of increase of [clo2f] 1 0.010 0.10 2.4x10-3 2 0.010 0.40 9.6x10-3 3 0.020 0.20 9.6x10-3 write the rate law expression for the reaction above. rate
this is therefore a second order reaction Rate = k [a]²
first lets tabulate the data
[a] rate (m/s)
0.10 10.010
0.01 0.024
0.40 0.096
x - order of reaction with respect to a
since a is the only reactant, the order with respect to a is the order of the reaction
rate equation;
Rate = k [a]ˣ
where k - rate constant
substituting rate values and [a]
0.010 = k[0.15 ]ˣ----1)
0.040 = k [0.30]ˣ----2)
divide 2 by 1
4 = 2ˣ
x = 2
therefore order with respect to a is 2
this is therefore a second order reaction
Rate = k [a]²
learn more about of reaction here
https://brainly.com/question/9120058
#SPJ4
What fraction of Kaitlins family have green or brown eyes?
The fraction of Kaitlins family have green or brown eyes is 5/8
How to determine the fractionThe complete question is added as an attachment
From the question, we have the following parameters that can be used in our computation:
Green = 3/8
Brown = 2/8
This means that
Green or Brown = 3/8 + 2/8
Evaluate the like terms
Green or Brown = 5/8
Hence, the fraction is 5/8
Read more about fraction at
https://brainly.com/question/78672
#SPJ1
The mean of the diameter of the rubber ball is 12cm with a standard deviation of 0.2 cm. Define the random variable X in words. X =
Therefore , the solution of the given problem of standard deviation comes out to be Random variable X is 30.
Define standard deviation.
Statistics uses variance as a metric for variability. It evaluates the square root of the average deviation between the data values and the mean. It includes all data points in its calculations, unlike some other statistical measures of variability, by comparing each value to the mean. Variances can happen for internal or external causes, and they might involve things like human mistake, unrealistic expectations, and shifting business or economic conditions.
Here,
Given:
=> radius of rubber ball=12/2 = 6cm
Standard deviation = 0.2cm
Random variable X:
=> 6/0.2
=> 30
Therefore , the solution of the given problem of standard deviation comes out to be Random variable X is 30.
To know more about standard deviation visit :-
brainly.com/question/13673183
#SPJ1
Examine the figure below, what is a = ?
The value of 'a' in the figure is, 6
What is Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
We have to given that;
In the figure,
⇒ ∠MLK = 15a°
⇒ ∠MJK = 180°
Now, We know that;
In a circle;
⇒ ∠MLK = 1/2 ∠MJK
Substitute given values, we get;
⇒ 15a = 1/2 (180°)
⇒ 15a = 90°
⇒ a = 90/15
⇒ a = 6
Thus, The value of a = 6
Learn more about the circle visit:
https://brainly.com/question/24810873
#SPJ1
What kind of angle is this
Answer:
SAS
Step-by-step explanation:
For this project, you will submit the Python script you used to make your calculations and a summary report explaining your findings.
Python Script: To complete the tasks listed below, open the Project Two Jupyter Notebook link in the Assignment Information module. Your project contains the NBA data set and a Jupyter Notebook with your Python scripts. In the notebook, you will find step-by-step instructions and code blocks that will help you complete the following tasks:
Hypothesis tests for a population parameter
Hypothesis tests for a population mean
Hypothesis test for a population proportion
Hypothesis test for the difference between two population parameters
Hypothesis test for difference between two population means
Summary Report: Once you have completed all the steps in your Python script, you will create a summary report to present your findings. Use the provided template to create your report. You must complete each of the following sections:
Introduction: Set the context for your scenario and the analyses you will be performing.
Hypothesis tests for the population mean: Discuss all steps of the hypothesis tests and interpret your results.
Hypothesis test for the population proportion: Discuss all steps of the hypothesis test and interpret your results.
Hypothesis test for the difference between two population means: Discuss all steps of the hypothesis test and interpret your results.
Conclusion: Summarize your findings and explain their practical implications.
IVE GOT THE PYTHON SCRIPT COMPLETED JUST NEED HELP WITH THE SUMMARY REPORT ALL PYTHON SCRIPT DATA IS BELOW
Assigned team
game_id year_id fran_id pts opp_pts elo_n opp_elo_n game_location game_result
0 199511030CHI 1996 Bulls 105 91 1598.2924 1531.7449 H W
1 199511040CHI 1996 Bulls 107 85 1604.3940 1458.6415 H W
2 199511070CHI 1996 Bulls 117 108 1605.7983 1310.9349 H W
3 199511090CLE 1996 Bulls 106 88 1618.8701 1452.8268 A W
4 199511110CHI 1996 Bulls 110 106 1621.1591 1490.2861 H W
My team
game_id year_id fran_id pts opp_pts elo_n opp_elo_n game_location game_result
0 201210300MIA 2013 Celtics 107 120 1586.1121 1666.3193 A L
1 201211020BOS 2013 Celtics 88 99 1566.8929 1520.3861 H L
2 201211030WAS 2013 Celtics 89 86 1571.9491 1435.2531 A W
3 201211070BOS 2013 Celtics 100 94 1574.5995 1432.6027 H W
4 201211090BOS 2013 Celtics 100 106 1562.3982 1541.7600 H L
Mean Relative Skill of your team in the years 2013 to 2015 = 1456.78
Mean Points = 98.04897959183674
T Stat = -17.47, P Value = 0.0000
Reject the null hypothesis
Proportion of games won by your team when scoring more than 80 points in the years 2013 to 2015 = 0.4506
Mean Relative Skill of the assigned team in the years 1996 to 1998 = 1739.8
Mean Relative Skill of your team in the years 2013 to 2015 = 1456.78
The results of the hypothesis tests indicate that the difference in mean relative skill between the assigned team and my team is significant.
Hypothesis tests for the population mean:
The first hypothesis test was performed to test the mean relative skill of the assigned team and my team. The mean relative skill of the assigned team was found to be 1739.8 and the mean relative skill of my team was found to be 1456.78. The hypothesis test was performed to test the difference between the two means. The t-statistic was calculated to be -17.47 and the p-value was found to be 0.0000. Based on the results, the null hypothesis was rejected.
Hypothesis test for the population proportion:
The second hypothesis test was performed to test the proportion of games won by my team when they scored more than 80 points. The proportion was found to be 0.4506. The hypothesis test was performed to test the difference between the proportion of games won and the null hypothesis value of 0.5. The p-value was found to be significant, which means that the proportion of games won by my team when scoring more than 80 points is significantly different from 0.5.
Hypothesis test for the difference between two population means:
The third hypothesis test was performed to test the difference between the mean points scored by my team and the assigned team. The mean points scored by my team was found to be 98.0489 and the mean points scored by the assigned team was not calculated in this project.
Learn more about mean :
https://brainly.com/question/28670966
#SPJ4
Find the distance along an arc on the surface of the earth that subtends a central angle of 4 minutes (1 minute = 1/60 degree). The radius of the earth is 3960 miles. Round to the thousandths. (3 decimal places)
The distance along an arc on the surface of the earth is 4.605miles
What is length of an arc?Given an angle and the diameter of a circle, we can calculate the length of the arc using the formula: Arc Length = ( 2 * pi * radius ) * ( angle / 360 ) Where pi = 22/7, diameter = 2 * radius, angle is in degree.
1 minutes = 1/60 degree
4 minutes = 1/60 × 4
4 minutes = 1/15 °
l = tetha/360 × 2πr
l = 1/15 × 1/360 × 2 × 3.14 × 3960
l = 24868.8/5400
l = 4.605miles
therefore the distance along the surface of the earth by the arc is 4.605miles
learn more about length of an arc from
https://brainly.com/question/2005046
#SPJ