Answers
The percentage values are as follows: 75, 135, 60, 50, 245, 105, 175, 315, 450, 60, 125, 140, 280, 150, 320, 150.
What is percent?A % is a relative figure that represents the hundredth part of any amount. One percent (symbolized 1%) is one hundredth part; consequently, 100 percent denotes the complete amount and 200 percent defines twice the supplied amount. percentage. Mathematics percentile is a related topic. A percentage is a fraction of a whole represented as a number between 0 and 100. Nothing is zero percent, everything is 100 percent, half of everything is fifty percent, and nothing is zero percent. To calculate a percentage, divide the share of the total by the total and multiply by 100.
Here,
1a. 150% of 50
=1.5*50
=75
1b. 150% of 90
=1.5*90
=135
2a. 100% of 60
=1*60
=60
2b. 50% of 100
=0.5*100
=50
3a. 350% of 70
=3.5*70
=245
3b. 150% of 70
=1.5*70
=105
4a. 350% of 50
=3.5*50
=175
4b. 350% of 90
=3.5*90
=315
5a. 450% of 100
=4.5*100
=450
5b. 200% of 30
=2*30
=60
6a. 250% of 50
=2.5*50
=125
6b. 350% of 40
=3.5*40
=140
7a. 350% of 80
=3.5*80
=280
7b. 150% of 100
=1.5*100
=150
8a. 400% of 80
=4*80
=320
8b. 300% of 50
=3*50
=150
The value of percent are: 75, 135, 60, 50, 245, 105, 175, 315, 450, 60, 125, 140, 280, 150, 320, 150.
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Related Questions
Fill in the blank.
Each ______ in the ______ area makes the inequality ______.
P.S. The topic is about inequalites.
Answers
Answer:
Each change in the solution area makes the inequality true.
What is the common difference in the arithmetic sequence 30, 27, 24, 21, 18, ...? a. -1 c. 3 b. -3 d. 30 Please select the best answer from the choices provided
Answers
Answer:
b. -3
Step-by-step explanation:
30 - 3 = 27
27 - 3 = 24
24 - 3 = 21....
Use this pattern when a binomial
can be written as the square of
one number minus the square of
another number.
4x² - 49 = (2x-7)(2x + 7)
a² + 2ab + b² = (a + b)²
Answers
The square of a binomial, when the binomials are subtracted, is defined as follows:
(a - b)² = a² - 2ab + b².
How to obtain the square of a binomial?When the two binomials are added, the square is given as follows:
(a + b)².
Expanding the square, we have that:
(a + b)² = (a + b) x (a + b).
(a + b)² = a² + ab + ab + b².
(a + b)² = a² + 2ab + b².
Which is the result presented in this problem.
Now, when the binomial has a minus sign, involving a subtraction, the pattern is obtained as follows:
(a - b)² = (a - b) x (a - b).
(a - b)² = a² - ab - ab + b².
(a - b)² = a² - 2ab + b².
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using the following table, what is the percent of the relative frequency of a blue car being observed?
Answers
An observation of a blue automobile occurs at 20.8% of the relative frequency.
What is Relative frequency?The ratio (fraction or proportion) of the number of times a data value appears in the set of all outcomes to the total number of outcomes is known as the relative frequency.
Divide each frequency by the overall sample size, in this example 20 students, to determine the relative frequencies.
Example: Out of a total of 12 games played, your team has won 9 of them, making its winning percentage 9 percent. 9/12, or 75%, is the relative frequency of winning.
So, we have:
RF(A) = f(A) / ∑f
Where f(A) is the frequency of event A and ∑f is the total frequency.
(Refer to the table attached below)
Total car = 251 + 198 + 195 + 293 = 937
The relative frequency of blue cars is as follows:
RF(blue) = 195 / 937 = 0.208 = 20.8%
Therefore, an observation of a blue automobile occurs at 20.8% of the relative frequency.
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Complete question:
Using the following table, what is the percent of the relative frequency of a Blue car being observed? Car Color Frequency Relative FrequencyBlack 251 0.251Red 198 0.198Blue 203 0.203Silver 293 0.293A. 20.3%B. 0.002%C. 23.625%D. 2.03%
1. Use each of the two terms below in a sentence that illustrates the
meaning of the term:
a. competitive pricing
b. incentive
Answers
Answer: marketers will do anything to make the next better product by doing lowering prices, upgrading product material. competitive pricing
incentive is something that make motivates someone to do something like encourages in marketing world a marketer may make a appealing ad that encourages a consumer to want to buy something.
Step-by-step explanation:
Hope this helps tried my best
This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Find the length and width of a rectangle with maximum area that has a perimeter of (8P) units. Step 1 Recall that the perimeter of a rectangle is given by the following equation where sp is the perimeter, L is the length, and w is the width. 2L + 2w =P We are given that the rectangle has a perimeter of sp units. Further, let x represent the length of the rectangle and let y represent the width. Therefore, the equation for the perimeter of the rectangle in terms of x and y is as follows. 2x + 2y = BP Solve this equation for y. 2x + 2y - BP 2yBP - 2x BP - 2x Y
Answers
The width of the rectangle is y = (8P - 2x) ÷ 2 and the maximum area of the rectangle is A = x x y.
The perimeter of a rectangle is given by the following equation: 2L + 2w = P, where P is the perimeter, L is the length, and w is the width. We are given that the rectangle has a perimeter of 8P units. Let x represent the length of the rectangle and let y represent the width. Then, the equation for the perimeter of the rectangle in terms of x and y is: 2x + 2y = 8P.
To solve for y, we can subtract 2x from both sides of the equation to get: 2y = 8P - 2x. Then, we divide both sides of the equation by 2 to get: y = (8P - 2x) ÷ 2.
Now, we can use the area formula for rectangles, A = L x w, to determine the maximum area of a rectangle with a perimeter of 8P units. Substituting the values for length and width, we get: A = x x (8P - 2x) ÷ 2. We can rearrange this equation to make x the subject: A = x x (8P - 2x) ÷ 2 → x2 - (8P/2)x + A = 0.
Now, we can use the quadratic equation to solve for the length of the rectangle, x. We get: x = (8P ± √(64P2 - 16A)) ÷ 4. Therefore, the width of the rectangle is y = (8P - 2x) ÷ 2 and the maximum area of the rectangle is A = x x y.
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Travel + Leisure magazine provides an annual list of the 500 best hotels in the world. The magazine provides a rating for each hotel along with a brief description that includes the size of the hotel, amenities, and the cost per night for a double room. A sample of 12 of the top rated hotels in the United States follows. a. What is the mean number of rooms? b. What is the mean cost per night for a double room? c. Develop a scatter diagram with the number of rooms on the horizontal axis and the cost per night on the vertical axis. Does there appear to be a relationship between the number of rooms and the cost per night? Discuss. d. What is the sample correlation coefficient? What does it tell you about the relationship between the number of rooms and the cost per night for a double room? Does this appear reasonable? Discuss. The 32 teams in the National Football League (NFL) are worth, on average, $1.17 billion, 5% more than last year. The following data show the annual revenue ($ millions) and the estimated team value ($ millions) for the 32 NFL teams (Forbes website, February 28, 2014).
Answers
The sample correlation coefficient of 0.81 indicates a strong positive correlation between the number of rooms and the cost per night, which appears reasonable given the results of the scatter diagram.
a. The mean number of rooms is 1,346.5. To calculate this, we added up the number of rooms for each hotel and divided by 12, the total number of hotels in the sample.
b. The mean cost per night for a double room is $380. To calculate this, we added up the cost per night for each hotel and divided by 12, the total number of hotels in the sample.
c. The scatter diagram shows a positive correlation between the number of rooms and the cost per night. As the number of rooms increases, so does the cost per night. This makes sense because larger hotels tend to be more expensive than smaller ones.
d. The sample correlation coefficient is 0.81, which indicates a strong positive correlation between the number of rooms and the cost per night. This appears reasonable given the results of the scatter diagram.
The mean number of rooms in the sample of 12 top rated hotels in the US is 1,346.5, and the mean cost per night for a double room is $380. The sample correlation coefficient of 0.81 indicates a strong positive correlation between the number of rooms and the cost per night, which appears reasonable given the results of the scatter diagram.
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find the change score that is 2.2 standard deviations below the mean. (round your answer to one decimal place.)
Answers
A change score that would be 2.2 standard deviations below the mean would be a score of negative 5.45.
A change score in SD is a measure of the amount of change in a data set compared to its original state. It is calculated by dividing the result by the data set's standard deviation and subtracting the data set's initial value from its current value. This tells you how much the data has changed since it was first created. Change scores can be used to measure changes over time in test-retest scores, clinical outcome scores, or other data sets.
To find the change score, we calculate:
2.2 standard deviations below the mean:
2 - (2.2 * 3.16)
= 2 - 7.052
= -5.052
Rounding to two decimal places, we get:
change score: -5.45.
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Complete Question:
One hundred teachers attended a seminar on mathematical problem solving. The attitudes of a representative sample of 12 of the teachers were measured before and after the seminar. A positive number for change in attitude indicates that a teacher's attitude toward math became more positive. The 12 change scores are as follows: 3; 8; –1; 2; 0; 5; –3; 1; –1; 6; 5; –2 . Find the change score that is 2.2 standard deviations below the mean.
Under an insurance policy, a. maximum of five claims may be filed per year by a policyholder. A "claim" generally refers to an amount or a policyholder request for an amount to be payable by an insurer for losses covered by an insurance policy. Let Pr be the probability that a policyholder files n claims during a given year, where n= 0,1,2,3,4,5. An actuary makes the following observations: (i) Pn > Pn+1 for n = 0,1,2,3,4. (ii) The difference between Pn and Pn, is the same for n = 0,1,2,3, 4. (iii) Exactly 40% of policyholders file fewer claims during a given year. Calculate the probability that a random policyholder will file more than three claims during a give year.
Answers
From the observations, we can conclude that the probabilities form a geometric sequence, where each subsequent probability is a constant factor smaller than the previous one. Let's call this constant factor "q".
(i) Pn > Pn+1 for n = 0,1,2,3,4 means that Pn = P0 * q^n for some value of q such that 0 < q < 1.
(ii) The difference between Pn and Pn+1 is the same for n = 0,1,2,3,4 means that
Pn - Pn+1 = P0 * q^n - P0 * q^(n+1)
= P0 * q^n (1 - q) is the same for all n.
Let's call this difference "d".
d = P0 * q^n (1 - q) for all n.
We know that exactly 40% of policyholders file fewer claims during a given year, so P0 = 0.4.
Using this information, we can find q:
d = P0 * q^n (1 - q)
= 0.4 * q^n (1 - q)
= 0.4 * q^n - 0.4 * q^n * q
= 0.4 * q^n (1 - q)
= d.
So,
0.4 * q^n = d
And
q = d / (0.4 * q^n)
Substituting n = 0:
q = d / (0.4)
Now we can find P3 and P4:
P3 = P0 * q^3
P4 = P0 * q^4
Finally, the probability that a random policyholder will file more than three claims during a given year is
1 - (P0 + P1 + P2 + P3)
= 1 - (0.4 + 0.4 * q + 0.4 * q^2 + 0.4 * q^3).
Substituting the values we found for P0, q, and P3:
= 1 - (0.4 + 0.4 * q + 0.4 * q^2 + 0.4 * q^3)
= 1 - (0.4 + 0.4 * (d / 0.4) + 0.4 * (d / 0.4)^2 + 0.4 * (d / 0.4)^3)
= 1 - (1 + (d / 0.4) + (d / 0.4)^2 + (d / 0.4)^3)
This is the probability that a random policyholder will file more than three claims during a given year.
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The midpoint of AB is at (-5,0). If A=(-7,-2), find B
Answers
Point B of line segment AB = (-3 , 2)
What is mid-point?The midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.
Given,
Midpoint of AB = (x , y) = (-5, 0)
A = (x₁ , x₂) = (-7, -2)
Let B = (x₂ , y₂)
Midpoint (x , y) = [(x₁ + x₂)/2 , (y₁ + y₂)/2]
(-5, 0) = [(-7 + x₂)/2 , (-2 + y₂)/2]
Comparing horizontal coordinates,
(-7 + x₂)/2 = -5
(-7 + x₂) = -10
x₂ = -10 + 7
x₂ = -3
Comparing vertical coordinates
(-2 + y₂)/2 = 0
(-2 + y₂) = 0
y₂ = 2
B = (x₂ , y₂) = (-3 , 2)
Hence, (-3 , 2) is point B of line segment AB.
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Select TWO instructional strategies that can be used to help and encourage mathematical communications.
1. Use class time effectively by encouraging students to evaluate and compare their answers with other students
2. Tell students that a math problem will be easy to solve before presenting it
3. Make certain to call on students who are prepared and ready to volunteer in class
4. Provide opportunities that will encourage the metacognitive process and allow students to explain their thinking
Answers
Two instructional techniques can be utilized to support and promote mathematical communication:
1. Make the most of class time by encouraging students to assess and compare their own and other students' responses.3. Ensure that you ask for volunteers in class who really are prepared and available.Explain about the mathematical communication?Mathematics and math education both require communication. It is a method for exchanging concepts and making comprehension clear. Ideas become subjects of reflection, improvement, discussion, and modification through communication.
The term "mathematical communication skills" (MCS) refers to -
a student's capacity to convey their clear and logical mathematical thinking to friends, teachers, and other people; organise and link their mathematical ideas through communication;Thus, two instructional techniques can be utilized to support and promote mathematical communication:
Make the most of class time by encouraging students to assess and compare their own and other students' responses.Ensure that you ask for volunteers in class who really are prepared and available.To know more about the mathematical communication, here
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1. (10 points) you are given a toy calculator that has only one function of multiplying two numbers, both are restricted to be between 0.000 and 0.999 with only a 3-digit accuracy. moreover, after performing the calculation, the machine will retain only 3 digits (to the right of the floating point) as its outcome. for instance, given a
Answers
The maximum error of the calculator would be 0.0003 if it is increased to 4-digit accuracy.
2.345 * 0.678
the calculator will return
1.592
a. Determine the maximum error of the calculator
The maximum error of the calculator is 0.003 since the calculator retains only 3 digits to the right of the floating point.
b. If you increase the accuracy of the calculator to 4-digit, what would be the maximum error?
The maximum error of the calculator would be 0.0003 if it is increased to 4-digit accuracy.
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Find the equation that matches the graph
Answers
Answer:
b
Step-by-step explanation:
Using the region names in the image below, select all regions that represent:
A' ∩ B' ∩ C'
3 group Venn Diagram with Roman numeral labeled regions
Not A intersection not B intersection not C. Region I: Items only in group A, not in B or C. Region II: Items in A and B, but not C. Region III: Items only in B, not in A or C. Region IV: Items in A and C, but not B. Region V: Items in A, B, and C. Region VI: Items in B and C, but not A. Region VII: Items only in C, not in A or B. Region VIII: Items not in any of the groups.
Answers
The Venn diagram shown to Region V: Items in A, B, and C are ; A' ∩ B' ∩ C'
We are given that the diagram we need to find the regions represent the set.
What do you mean by Venn diagram?A Venn diagram is an illustration that uses circles to show the relationships among things or finite groups of things. Circles that overlap have a commonality while circles that do not overlap do not share those traits. Venn diagrams help to visually represent the similarities and differences between two concepts.
The Venn diagram, the item represents the regions four, five, six and seven.
Therefore, it can be written us for Union Fight, Union Six, Union Seven. , we concluded that the regions represent see R. C.
This is equal to for Union Fighting Union Six, Union Seven.
We have, region represent A' ∩ B' ∩ C'
Therefore, the Venn diagram shown to regions represent
A' ∩ B' ∩ C' is Region V
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The Face Cards, Jack Queen and King have been pulled from a deck
of cards and thrown into a bag. There are a total of 12 cards in the
bag. What is the probability of pulling out a King of Spades?
a. 5/6
b. 1/12
C. 2/24
D. 1/4
Answers
Answer:
B. 1/12
Step-by-step explanation:
remember my golden words mark them probability is always equal and less than 1
The graph shows the value of a comic book over time after a collector buys it.
You extend the line, what is its x- intercept,the x -coordinate where the line crosses the x-axis?
Answers
The x-intercept of this line is equal to -5.
How to calculate the equation of this line?In Mathematics, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y are the data points.Next, we would determine the linear equation representing the line which passes through the data points (0, 10) and (5, 20) by using the point-slope form as follows:
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - 10 = (20 - 10)/(5 - 0)(x - 0)
y - 10 = 2x
y = 2x + 10
When y = 0, the x- intercept is given by:
0 = 2x + 10
2x = -10
x = -10/2
x = -5.
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Each truck from Jones Removal Company can haul 500 pound of trash at a time. On Wednesday, the company has jobs to remove 1,500 pounds of trash from one site, 500 from another site, and 2,500 from a third site. How many total pounds of trash will be moved by Jones Company that day? How many trips will it take for the Jones Company to remove all of the trash?
Answers
The total pounds of trash is 4500 pounds. Then the number of trips that will take for the Jones Company to remove all of the trash will be 9.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
Each truck from Jones Expulsion Organization can pull 500 pounds of waste at a time. On Wednesday, the organization has tasks to eliminate 1,500 pounds of garbage from one site, 500 from another site, and 2,500 from a third site.
The total pounds of trash is given as,
⇒ 1500 + 500 + 2500
⇒ 4500 pounds
The number of trips will it take for the Jones Company to remove all of the trash will be given as,
⇒ 4500 / 500
⇒ 9
The total pounds of trash is 4500 pounds. Then the number of trips that will take for the Jones Company to remove all of the trash will be 9.
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Which function has an x-intercept of 4?
Answers
Answer:
D.) f(x)= x-4
Step-by-step explanation:
Attached is an image with all the functions graphed.
Function A: Red
Function B: Blue
Function C: Green
Function D: Purple
From the image, you can see that function D is the only function with an x-intercept of 4.
If you wanted to find the function with an x-intercept of 4, you could plug in 4 for x and see which gives you y=0 as a solution.
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Consider the system of linear equations y=ax+4 and y=bx-2, where a and b are real numbers. Determine whether each statement is always, sometimes, or never true.
Answers
The system can never have infinitely many solutions.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
The equation y=ax+4 is in the slope-intercept form.
Therefore, the slope m=a and the y−intercept b=4
The equation y=bx−2 is in the slope-intercept form.
Therefore, the slope m=b and the y−intercept b=−2
Since the two lines have different y−intercept, they can never be the same for any values of a and b.
Therefore, the system can never have infinitely many solutions.
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Art has $96 in his bank account. A store credits his account with a $24 refund. How much dose he now have in the bank
Answers
Answer:
$120
Step-by-step explanation:
Art now has $120 in his bank account ($96 + $24).
a square is plotted on a coordinate plane. henry claims that any transformation on the square will preserve the length of its sides.which of the following transformations could be used to show that henry's claim is incorrect? select all that apply.
Answers
The transformations that could be used to show that Henry's claim is incorrect are:
Horizontal stretch by a factor of 1/3.
Dilation by a factor of 2 units through origin.
Given that a a square is plotted on a coordinate plane.
Henry claims that any transformation on the square will preserve the length of its sides.
We need to check which claims is incorrect.
We must find transformations that do not maintain the length of the square's sides in order to refute Henry's assertion.
Analyzing each transformation now:
a) A translation of 5 units to the right:
The square's shape is unaltered by this transformation. The length of the sides does not change, but the square is merely moved 5 units to the right. The sides' length is preserved by this modification.
b) A horizontal stretch of the square by a factor of 1/3:
This change enlarges the square horizontally. The lengths of the original square's sides will not be kept because they will be multiplied by a factor of three-quarters. The sides' length is not preserved in this change.
c) Two-unit dilation through the origin:
This transformation uniformly scales the square by a factor of two. The lengths of the sides will alter as a result of multiplying all of them by 2. The sides' length is not preserved in this change.
d) Rotation of the square 45 degrees clockwise about its center:
This transformation spins the square, but the side lengths stay the same. The length of the sides are preserved by this translation because the rotation does not change the square's dimensions.
Therefore, the following transformations could be used to refute Henry's assertion:
b) Horizontal stretch by a factor of 1/3.
c) Dilation by a factor of 2 units through the origin.
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eleven percent of the products produced by an industrial process over the past several months have failed to conform to specifications. the company modifies the process in an attempt to reduce the rate of nonconfonnities. in a random sample of 300 items from a trial run. the modified process produces16 nonconforming items.
Answers
The percent of nonconforming items in the sample is 5.3%.
1. Calculate the total number of items in the sample (300).
2. Calculate the number of nonconforming items in the sample (16).
3. Calculate the total number of conforming items in the sample (284).
4. Divide the number of nonconforming items by the total number of items in the sample to get the percentage of nonconforming items (16/300 = 0.053).
5. Divide the number of conforming items by the total number of items in the sample to get the percentage of conforming items (284/300 = 0.947).
6. Multiply the result by 100 to get the percent of nonconforming items in the sample (0.053 x 100 = 5.3%).
7. Multiply the result by 100 to get the percent of conforming items in the sample (0.947 x 100 = 94.7%).
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Assume that adults have IQ scores that are normally distributed with a mean of 98.3 and a standard deviation 18.2, Find the first quartile Q1, which is the IQ score separating the bottom 25% from the top 75%.
Answers
The the first quartile Q1, which is the IQ score separating the bottom 25% from the top 75% is P(x<X)=0.25 is 86.106
How to calculate the first quartile?A quartile is a type of quantile which divides the number of data points into four parts, or quarters, of more-or-less equal size
Using table, z score=-0.67
(x-mean)/sd=-0.67
(x-98.3)/18.2=-0.67
Simplify the expression by collecting like terms
x-98.3=18.2*(-0.67)
x-98.3=-12.192
x=86.106
Therefore, the first quartile is 86.106
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proving triangles are congruent maze 1
Answers
Triangles are congruent if two pairs of corresponding angles and included side pairs are congruent. Triangles are congruent if two pairs of corresponding angles and one pair of disjoint sides are congruent.
What is congruentCongruent is a condition in which two or more figures have the same shape and size. If one shape is affixed to another shape, the position is correct and appropriate.
CongruenceA shape is said to be congruent if it fulfills the following conditions.
The sizes of the corresponding angles are the same. The ratio of all the corresponding sides is one because they are always the same length.Learn more about triangle at https://brainly.com/question/29083884
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3. Why is it useful to know the unit rate price of an item at a supermarket?
Answers
Answer: Looking at the unit price allows you to compare the price of different sized packages and different brands to find the best deal.
Step-by-step explanation: The "unit price" tells you the cost per pound, quart, or other unit of weight or volume of a food package. It is usually posted on the shelf below the food.
The unit rate price of an item at a supermarket is necessary to help buyers to understand and compare the prices for different things at the rate.
Shopkeepers sell their items according to some fixed unit rates. These rates can be used by the customer to compare within different qualities of that specific product and to understand how much quantity of goods they can purchase under their budget.
Everyone can easily learn about the amount of money to be paid to the shopkeeper. If we have unit rates we can compare the prices of items fairly in the market. So it is helpful to buy and sell the items at unit rates for a better economy.
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a simulation was conducted using 10 fair six-sided dice, where the faces were numbered 1 through 6, respectively. all 10 dice were rolled, and the average of the 10 numbers appearing faceup was recorded. the process was repeated 20 times. which of the following best describes the distribution being simulated?
Answers
The distribution being simulated is a discrete uniform distribution.
A discrete uniform distribution is a type of probability distribution where all outcomes are equally likely. In this case, the probability of rolling any number from 1 to 6 is the same for each die. Therefore, the distribution being simulated is a discrete uniform distribution.
A discrete uniform distribution is a type of probability distribution where all outcomes are equally likely. This means that the probability of each outcome is the same. For example, if you were to roll a die, each number from 1 to 6 would have the same probability of being rolled. This type of distribution is commonly used when there are a finite number of outcomes, such as rolling a die or flipping a coin. In this case, the probability of each outcome is the same, resulting in a uniform distribution. This type of distribution is useful when all outcomes are equally likely, such as when a fair die is rolled. In such a situation, a discrete uniform distribution is the most appropriate model for the probability of each outcome.
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Use the information to find the length of segment BC. Image not drawn to scale. Two triangles, A B C and C B D, with segment C D connecting vertex C with a point D on side A C. Angle C D B is a right angle. Segment B D is 12, segment A C is 34 and segment A D is 30. segment BC = __________ Type your numerical answer below.
Answers
The length of segment BC is 27.4.
How to calculate segments?To find the length of segment BC, we need to use the Pythagorean theorem on triangle BCD. The theorem states that in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side (the hypotenuse). We know that BD = 12 and CD = 30, the equation is:
BC² = CD² - BD²
Substituting the values:
BC² = 30² - 12²
BC² = 900 - 144
BC² = 756
Finally, taking the square root of both sides:
BC = √(756) = 27.4
So the length of segment BC is approximately equal to 27.4.
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Among employees of a certain company, 60% know C/C++, 50% know R, 30% know both languages, and 20% know neither language. Let A = "knows C/C++" and B = "knows R". What is the probability that a randomly chosen employee knows C/C++ or they know R? Answer should be in decimal form.
Answers
The probability that the randomly chosen employee knows C/C++ or R will be 0.30.
What is probability?The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur.
Probability and odds are two distinct ideas.
Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.
Mathematics' study of random events is known as probability, and there are four primary types of probability: axiomatic, classical, empirical, and subjective.
So, employees who know C/C++ are 60%.
Which will be: 60/100
Employees who know R are 50%.
That will be 50/100.
The probability that a randomly chosen employee knows C/C++ or R:
60/100 * 50/100
6/10 * 5/10
30/100
0.30
Therefore, the probability that the randomly chosen employee knows C/C++ or R will be 0.30.
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can somone help me with divison
Answers
Divide.
Multiply.
Subtract.
Bring the next number down.
Repeat. Long division is a process to divide large numbers in a convenient way. The number which is divided into smaller groups is known as a dividend, the number by which we divide it is called the divisor, the value received after doing the division is the quotient, and the number left after the division is called the remainder. Write the dividend and the divisor in their respective positions.
Take the first digit of the dividend from the left.
If this digit is greater than or equal to the divisor, then divide it by the divisor and write the answer on top as the quotient.
Write the product below the dividend and subtract the result from the dividend to get the difference. If this difference is less than the divisor, and there are no numbers left in the dividend, then this is considered to be the remainder and the division is done. However, if there are more digits in the dividend to be carried down, we continue with the same process until there are no more digits left in the dividend.
Allam just finished a great meal at a restaurant in Wisconsin. The sales tax in Wisconsin is
5
%
5%5, percent, and it is customary to leave a tip of
15
%
15%15, percent for the server. The tip amount is calculated on the price of the meal before the tax is applied. (Sales tax is not calculated on tips.)
If Allam ordered a
$
15
$15dollar sign, 15 meal, how much money will he have to pay with tax and tip?
$
$dollar sign
Answers
The total amount of money that Allam will have to pay is given as follows:
$18.
How to obtain the total amount of money?The total amount of money that Allam will have to pay is obtained applying the proportions in the context of the problem.
The extra payments are given as follows:
5% of the sales tax.15% of the tip.Hence the extra percentage is given as follows:
5 + 15 = 20%.
Meaning that the price of the meal is multiplied by 1.2, which is equivalent to 100 + 20 = 120%.
Considering a meal of $15, the total price is given as follows:
1.2 x 15 = $18.
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