The possible endpoints are (-3, 6) and (8, -5).
What is the distance between two points of a line?The distance between two points of a line is given as:
Distance = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
We have,
The coordinates of the endpoints are (a, b) = [tex](x_1, y_1)[/tex] and (-3, -5) = [tex](x_2, y_x)[/tex].
The distance between the two endpoints is 11 units.
Now,
Distance = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
11 = [tex]\sqrt{(-3 - a)^2 + (-5 - b)^2}[/tex]
Squaring both sides.
11² = (-3 - a)² + (-5 - b)²
121 = (-3 - a)² + (-5 - b)²
If we take a = -3 and b = 6
121 = (-3 + 3)² + (-5 - 6)²
121 = 0 + (-11)²
121 = 121
or
If we take a = 8 and b = -5
121 = (-3 - 8)² + (-5 + 5)²
121 = (-11)² + 0
121 = 121
Thus,
(-3, 6) and (8, -5) are the possible endpoints.
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data analytics are useful for detecting fraud for all of the following reasons except which one? a) data analytics can test if internal controls that are useful for preventing or detecting fraud to see if they are working. 47) b) data analytics often use samples rather than the full population of transactions. c) data analytics can often detect small frauds before they become material. d) all of the above are ways data analytics are useful for detecting fraud.
The statement " data analytics often use samples rather than the full population of transactions." is False. So, option b is correct.
Option "a)" explains how data analytics can be used to test internal controls that are designed to prevent or detect fraud. These controls include processes and procedures that are put in place to ensure the accuracy and reliability of financial information and to detect any irregularities that may indicate fraud.
Option "c)" highlights how data analytics can detect small frauds before they become material. This is because data analytics can identify unusual patterns of behavior that may be indicative of fraud, even if the amounts involved are relatively small.
Option "d)" is incorrect because it states that all of the above options are ways data analytics are useful for detecting fraud. This is not entirely accurate because option "b" states that data analytics often use samples rather than the full population of transactions, which is not necessarily a beneficial aspect for detecting fraud.
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6 cm
6 cm
6 cm
20 cm
The area of one of the bases of the figure shown above is about 15.6 cm².
What is the surface area, in cm2, of the figure? Round your answer to the
nearest tenth.
The surface area of the figure for the given condition is 391.2 cm²
What is a Triangular Prism?The pentahedron Triangular Prism contains nine different nets. The bases' vertices and edges are connected by means of their three rectangular sides. The rectangular sides of the triangular prism are joined to one another side by side.
Given the triangular prism,
which consist of two triangles and 3 rectangles,
the surface area of the figure is the sum of the area of triangles and 3 rectangles,
given sides of triangle is 6cm x 6cm x 6cm
area of equilateral triangle = √3/4(a²)
area of equilateral triangle = 6²*(√3/4)
area of equilateral triangle = 15.6 cm²
and dimensions of the rectangle is 6cm x 20 cm
area of rectangle = l x b
area of rectangle = 6*20
area of rectangle = 120 cm²
area of shape = 2(area of triangle) + 3(area of rectangle)
area of shape = 2*15.6 + 3*120
area of shape = 31.2 + 360
area of shape = 391.2 cm²
Hence the area is 391.2 cm².
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in correlational and experimental study designs, a key requirement for a sample is that: group of answer choices
In correlational and experimental study designs, a key requirement for a sample is that population whom the researchers are investigation
A sample is a portion of a larger population that is selected to represent the entire group. In both correlational and experimental study designs, a key requirement for a sample is that it should be representative of the population it is meant to represent.
In a correlational study design, the goal is to examine the relationship between two or more variables. The sample must be representative of the population to ensure that the correlation calculated from the sample is representative of the correlation that exists in the population.
If the sample is not representative, the correlation calculated from the sample may be different from the correlation that exists in the population, leading to incorrect conclusions.
In an experimental study design, the goal is to test a causal relationship between two or more variables.
The sample must be representative of the population to ensure that the results of the experiment are generalizable to the population.
If the sample is not representative, the results of the experiment may not be generalizable to the population, leading to incorrect conclusions.
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please help me its multiple choice
Answer:
[tex]\huge\boxed{\sf Price\ of\ carbon\ filter = \$11.75}[/tex]
Step-by-step explanation:
Given that,
3 water pumps = $26.25
Using unitary method
Divide both sides by 33/3 water pumps = $26.25/3
1 water pump = $8.75From the question,
The price of 1 water pump and one carbon filter equal $20.50.
So,
Price of carbon filter = $20.50 - Price of 1 water pump
Price of carbon filter = $20.50 - $8.75
Price of carbon filter = $11.75[tex]\rule[225]{225}{2}[/tex]
The mean of p and g is 13; the mean of g and r is 16; the mean of r and p is 7.
What is the mean of p, g and r?
(10 points)
The mean of p , g and r is given by the equation M = 12
What is Mean?The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.
Mean = Sum of Values / Number of Values
Given data ,
Let the mean of p , g and r be represented as M
Now , the mean of p and g = 13
So , ( p + g ) / 2 = 13
On simplifying the equation , we get
p + g = 26 be equation (1)
And , the mean of g and r = 16
So , ( g + r ) / 2 = 16
On simplifying the equation , we get
g + r = 32 be equation (2)
And , the mean of r and p = 7
So , ( r + p ) / 2 = 7
On simplifying the equation , we get
r + p = 14 be equation (3)
Adding equation (1) , (2) and (3) , we get
2 ( p + g + r ) = 26 + 32 + 14
And , divide both sides of the equation by 2 , we get
p + g + r = 72/2 = 36
Now , the mean of p , g and r is
M = ( p + g + r ) / 3
On simplifying the equation , we get
M = 36/3
M = 12
Hence , the mean is M = 12
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Evaluate: Question 1: 3p +5(2q+p)+3p-6q
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{3p + 5(2q + p) + 3p - 6q}\\\mathsf{= 3p + 5(2q) + 5(p) + 3p - 6q}}\\\mathsf{= 3p + 10q + 5p + 3p - 6q}\\\large\textbf{COMBINE the LIKE TERMS}\\\mathsf{= (3p + 5p + 3p) + (10q - 6q)}\\\mathsf{= 3p + 5p + 3p \bold{+} 10q - 6q}\\\mathsf{= 8p + 3p + 4q}\\\mathsf{= 11p + 4q}\\\\\\\huge\text{Therefore, your answer should be:}\\\huge\boxed{\mathsf{11p + 4q}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
105.3 is what percent of 64?
Answer:
164.53125%
Step-by-step explanation:
105.3 is 164.53100% of 64
Answer:
164.53125%
Step-by-step explanation:
105.3 is what percent of 64?
we solve with a proportion
105.3 : 64 = x : 100
x = 105.3 × 100 ÷ 64
x = 164.53125%
in a situation where the standard deviation was increased from 3.1 to 5.8, what would be the impact on the confidence interval?
The main impact of increasing the standard deviation from 3.1 to 5.8 leads to a wider confidence interval, from (9.38, 10.62) to (8.88, 11.12).
This is because the standard deviation is a measure of the spread of the data, and the wider the spread, the wider the confidence interval will be. Mathematically, this can be shown by the following calculation:
The confidence interval is usually given by the formula:
CI = x +/- (z*sigma/sqrt(n)),where x is the mean of the sample, z is the z-score representing the confidence level, sigma is the standard deviation, and n is the sample size.
In this case, let's assume that x = 10, z = 1.96 (95% confidence interval), and n = 10. Then, when the standard deviation is 3.1, the confidence interval is 10 +/- (1.96*3.1/sqrt(10)) = 10 +/- 0.62, or (9.38, 10.62).
However, when the standard deviation is increased to 5.8, the confidence interval becomes 10 +/- (1.96*5.8/sqrt(10)) = 10 +/- 1.12, or (8.88, 11.12).
Therefore, increasing the standard deviation from 3.1 to 5.8 leads to a wider confidence interval, from (9.38, 10.62) to (8.88, 11.12).
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Use the given information to prove that triangle DEF is congruent to triangle FGD.
By SSS congruent theorem, triangle DEF is congruent to triangle FGD.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
In triangle DEF and triangle FGD;
⇒ DE ≈ FG
⇒ EF ≈ GD
Now, In In triangle DEF and triangle FGD;
⇒ DF is a common side
⇒ DF ≈ DF
Hence, By SSS congruent theorem, triangle DEF is congruent to triangle FGD.
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15 hot dogs cost $60. What is the rate for one hot dog
Answer:
4$ for one hotdog
Step-by-step explanation:
60/15 =
4.
One hotdog equal 4$
brainliest?
The rate of one hot dog is $4.
We are given that there are 15 hot dogs which cost $60.We have to calculate the amount of rate for one hot dog.
By the unitary method,
Amount of rate for one hot dog = is $60/15=$4
Hence one hot dog cost $4.
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The vertices of AFGH are F(-2,4), G (4,4), and H (1,-2). What are the coordinates of the orthocenter of
AFGH? If necessary, round your answer to the nearest tenth.
The coordinates of the orthocenter of AFGH are approximately (1.9, 2.2).
How did we arrive at these values?The orthocenter of triangle AFGH can be found by the intersection of the altitudes from vertices A, B, and C. The equations of the altitudes from vertices F and H can be found by finding the slopes of the lines and plugging in the x and y coordinates of the vertices.
The equation of the altitude from vertex G can then be found by finding the slope perpendicular to the first two lines and plugging in the x and y coordinates of vertex G. The point of intersection of these three lines is the orthocenter of triangle AFGH.
The coordinates of the orthocenter of AFGH are approximately (1.9, 2.2).
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a population of 800 beetles is growing each month at a rate of 5%. a) write an equation that expresses the number of beetles at time x.
The number of beetles at time [tex]x[/tex] can be expressed using the equation [tex]B = 800 (1.05)^{x}[/tex]
In mathematics, an equation is a statement that two numbers or values are equal, as in 6 x 4 = 12 x 2. When two or more components of a situation must be taken into account in order to comprehend or describe the entire situation, this is known as an equation. By definition, your example is an equation since an equation is any expression that contains the equals sign. The employment of equal signs by mathematicians makes equations a common occurrence in mathematical work. A set of guidelines for producing a specific outcome is known as a formula. A mathematical expression, such as 6x4=12x2, that states that two amounts or values are equal is known as an equation. In an equation, two or more components must be taken into account simultaneously.
[tex]x =[/tex] number of months that have passed.
[tex]N=800x^{0.05t}[/tex]
[tex]1.05 = 1 + .05[/tex], where [tex].05[/tex] is the monthly growth rate
An equation is [tex]B = 800 (1.05)^{x}[/tex].
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OBC
OAB
Find the largest side of the triangle. (not
drawn to scale)
104°
in
A
AC
O Not enough information
B
99⁰
C
X
The largest side of the given triangle is; AB
How to find the largest side of the triangle?Let us first find the missing angles of triangle ABC.
The sum of two opposite interior angles is equal to an exterior angle.
Thus;
∠CBA = 104 - 99
∠CBA = 5°
Sum of angles in a straight line is 180°. Thus;
∠CAB = 180 - 104
∠CAB = 76°
The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.
Thus, AB is opposite 99° and as such will be the largest side.
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help i will give brainliest.
Answer:
The unit rate for Scented candles is 1/2(or 4/8) inches per hour.
The unit rate for unscented candles is 1/3(or 3/9) inches per hour
The scented candles burn more/faster per hour.
Step-by-step explanation:
Answer:
Below
Step-by-step explanation:
scented rate = 1/8 inch / 1/4 hr = 1/8 * 4/1 = 4/8 = 1/2 inch per hour
unscented rate 1/9 in / 1/3 hr = 1/3 inch per hour
scented burns more per hour because 1/2 > 1/3 in
Edited....I had the candles backwards
y'all please help me I've been stuck on this question for the past hour and I still have a whole nother test to do
Factor completely 25x² - 49
Answer:
(5x-7)(5x+7)
Step-by-step explanation:
[tex]25x^2-49\\=(5x)^2-(7)^2\\=(5x-7)(5x+7)[/tex]
Remember that the difference of squares formula is [tex]a^2-b^2=(a-b)(a+b)[/tex].
Answer:
(5x-7) x (5x+7)
Step-by-step explanation:
25x^2- 49
5^2 x 2^2 - 49
5^2 x 2^2 -7^2
(5x)^2 -7^2
(5x-7) x (5x+7)
if i flip a coin and i get heads every single time, how many times do i have to flip the coin until i am 95% confident the coin is unfair?
I have to flip the coin 16 times to say that I am 95% confident the coin is unfair.
This question can be answered using the binomial distribution. If we assume the coin is fair, then each flip of the coin has a 50% chance of coming up heads. We can use the binomial distribution to calculate the probability of getting heads at least 95% of the time.
For this calculation, we need to know the number of trials, n. We can use the formula: n = (1.96^2)/(p(1-p)) to calculate n for a 95% confidence level. In this case, p = 0.5, so n = 15.84. Since this is not a whole number, we can round up to 16 flips.
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OAB is a sector of a circle.
Calculate the radius of the circle to 2 d.p.
B.
131°
cm
192 cm
Not drawn accurately
The solution is The perimeter of the sector is :30.5 cm
What is perimeter?A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference. Calculating the perimeter has several practical applications.
here, we have,
Mathematically, we have the area of the sector as;
e/360 * pi * r^2
r is 8 cm
so we have
58 = e/360 * pi * 8^2
58/64 * 360/pi = e
e = 103.85
To get the perimeter,
we have length of the arc plus 2r
Length of the arc is;
e/360 * 2 * pi * r
add 2 r;
e/360 * 2 * pi * r + 2r
so we have
103.85/360 * 2 * pi * 8 + 2(8)
= 14.5 + 16
= 30.5 cm
Hence, The solution is The perimeter of the sector is :30.5 cm
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After you multiply everything out in the box, then write your final answer below after you combine your like terms! (2x-3)(6x-5)
The solution to the algebraic expression (2x-3)(6x-5) after you combine your like terms is 12x² - 28x + 15
How to multiply algebraic expression?(2x-3)(6x-5)
open parenthesis
12x² - 10x - 18x + 15
collect like terms
12x² - 28x + 15
Hence, 12x² - 28x + 15 is the solution to the algebraic expression (2x-3)(6x-5)
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what is the probability that someone is from the u.s? what is the probability that someone has at least 2 children? what is the probability that someone is from the u.s and has one child?
The required probability for the given table are as follow :
a. Probability of someone from US = 0.5089
b. Probability of someone has at least 2 children = 0.4196
c. Probability of someone from US and has one child = 0.125.
Total number of children is equal to 112
Probability = Favourable outcome / ( total number of outcome )
a. Number of children representing someone from US = 57
Probability of someone from US = 57 / 112
= 0.5089
b. Favourable outcome representing someone has at least 2 children is
= P (2) + P(3)
= ( 18 + 11 )/ 112 + (8 + 10 )/ 112
= (29 + 18) / 112
= 47/112
= 0.4196
c. From US and has one child :
Favourable outcome = 14
Probability of someone from US and has one child
= 14 / 112
= 0.125
Therefore, the probability of the different conditions are :
a. Probability from US = 0.5089
b. Probability of at least 2 children = 0.4196
c. Probability from US and one child = 0.125
The above question is incomplete, the complete question is:
For the table given below answer the following question:
Children : 0 1 2 3 or more Total
From US : 17 14 18 8 57
Outside US : 15 19 11 10 55
Total : 32 33 28 18 112
a. What is the probability that someone is from the US?
b. what is the probability that someone has at least 2 children?
c. what is the probability that someone is from the US and has one child?
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order these numbers from least to greatest
5 1/11, 5.576, 5.57, 101/20
Answer: 101/20, 5 1/11, 5.57, 5.576
Step-by-step explanation: Standardized all:
101/20 = 5.090909
5 1/11 = 5.05
5.57
5.576
y-2=3 3x - 2y =5 substitutions
Answer:
x=5
y=5
Step-by-step explanation:
y-2=3
3x-2y=5
Let's solve for y in the first equation.
y-2=3
Add 2 to both sides,
y=5
Let's substitute y=5 into the other equation.
3x-2y=5
3x-2*5=5
3x-10=5
Add 10 to both sides,
3x=15
Divide by 5 to both sides,
x=5
Therefore, x and y both equal 5.
which of the following is true of the number of hours of daylight? group of answer choices the number of hours of daylight varies depending on the latitude of the observer. the number of hours of daylight varies the least at higher latitudes. the number of hours of daylight varies the most along the equator. the number of hours of daylight includes the hours between dawn and twilight, not just the hours from sunrise to sunset.
The statement that is true about the number of hours of daylight is: "the number of hours of daylight varies depending on the latitude of the observer."
Hence, option (a) is the correct choice.
Day length will be roughly 12 hours at latitude 0° (the Equator). The Equator region has a steady 12 hour day light all year.
Day duration can be observed to extend to 24 hours or reduce to zero if latitude increases to 80° (polar circles - north or south) (depending on time of year).
The quantity of daylight received by an observer is determined by their latitude and the season.
The number of hours of daylight changes the greatest near the equator, whereas it varies the least towards higher latitudes.
The number of daylight hours covers the hours between dawn and twilight as well as the hours from sunrise to sunset.
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Five line segments are drawn in a triangle as shown. How many triangles are there?
Number of triangles are 24.
What is a triangle?A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.
What is the area of the triangle?
The area of the triangle is defined as the product of half the base and the height of the triangle.
The area of the triangle = 1/2 x b x h
Given;
Five line segments are drawn in a triangle as shown
Now, to find the total number of triangles we will number each of the enclosed section in the triangle horizontally.
Line segment 1= 1 2 3
Line segment 2= 1 2 3
Line segment 3= 1 2 3
Line segment 4= 1 2 3
by addition
=6+6+6+6
=24
Therefore, the total triangles in figure will be 24.
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what percent of a group do i have to randomly sample in order to get a rough estimate for the entire group
the candy produced by a company has a sugar level that is normally distributed with a mean of 16.8 grams and a standard deviation of 0.9 grams. the company takes readings of every 10th bar off the production line. the reading points are 17.3, 14.9, 18.3, 16.5, 16.1, 17.4, 19.4. is the process in control or out of control and why? use a control chart to answer the question. homework help: 4vc. calculating probabilities from manufacturing to determine if system is in control (links to an external site.) (4:12) group of answer choices it is in control as only one of these data points is more than 3 standard deviations from the mean it is out of control as the values jump above and below the mean it is out of control as two of these data points are more than 2 standard deviations from the mean it is in control as the data points more than 2 standard deviations from the mean are not among three consecutive data points
It is not in control because at least two of the of the data points are more than 2 standard deviations from the mean are far apart.
18.3,18.4 > 18.2 Upper Control limit
14.9, > 15.4 Lower Control Limit
Step-by-step explanation:
Find the limits using μ ± 3σ and μ ± 2σ
Using μ ± 3σ
Upper Control Limit = μ + 3σ = 16.8 + 3(0.7)= 16.8 + 2.1= 18.9
Lower Control Limit = μ - 3σ =16.8 - 3(0.7)= 16.8 - 2.1= 14.7
Using μ ± 2σ
Upper Control Limit = μ + 2σ = 16.8 + 2(0.7)= 16.8 + 1.4= 18.2
Lower Control Limit = μ - 2σ =16.8 - 2(0.7)= 16.8 - 1.4= 15.4
The data points are 17.3, 14.9, 18.3, 16.5, 16.1, 17.4, 18.4.
Rearranging these data points 14.9, 16.1, 16.5, 17.3, 17.4, 18.3,18.4.
We see from the above that it is out of control because the values jump above and below the mean.
It is not in control as two of the of the data points are more than 2 standard deviations from the mean are far apart.
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In a greengrocer, the cost of 6 apples and 7 apricots is £3, while the cost of 9 apples and eight apricots is £3.75.
Work out the cost of, in pence, of:
a) an apple.
b) an apricot.
a) The cost of an apple 50p.
b) The cost of an apricot is 43p
What is cost and how to find cost ?The cost of something depends on a variety of factors, including the quality of the product, the quantity desired, the availability of the item, the location of the purchase, and the method of payment. For example, a computer may cost more if purchased at a retail store than it would cost if purchased online. Additionally, the cost of a product can vary depending on the brand, features, and other factors. For example, a laptop may be more expensive if it has a faster processor than one with a slower processor. In general, the cost of a product or service will also depend on the demand for it, as well as the amount of competition in the marketplace. Ultimately, the cost of something is determined by the value the customer places on it.
Cost of 6 apples = £3
Cost of 1 apple = £3/6 = 50p
b) The cost of an apricot is calculated as follows:
Cost of 7 apricots = £3
Cost of 1 apricot = £3/7 = 43p
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in what ways are the two sides of the display similar? the majority of observations are between 5 and 9 mpa for both sets of data.
The different sides of the showcase are comparable in that the two of them have a greater part of perceptions in the scope of 5 to 9 MPa.
The different sides of the showcase seem to have comparable dispersion designs, with most of perceptions falling inside the 5 to 9 MPa range. This proposes that there might be some hidden element that is making the qualities on the two sides be packed here, conceivably a typical estimation or handling technique.
Nonetheless, without additional data about the information and what it addresses, it is challenging to say for specific what may be driving this likeness. In any case, the comparative conveyance examples of the two arrangements of information are significant and investigating further.
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Find the volume of the sphere shown below give the answer in terms of pi show or explain your work
Volume of sphere is 288π mm³.
What is volume?Volume is defined as a capacity occupied by a three-dimensional solid shape. In any shape, it is hard to visualize but can be compared between shapes.
Given,
Radius of sphere r = 6 mm
Volume of sphere
= (4/3)πr³
= (4/3)π×6³
= (4/3)π×6×6×6
= 4π×2×6×6
= 288π mm³
Hence, 288π mm³ is volume of sphere.
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What does the transformation f(x)↦f(x)–5 do to the graph of f(x)
Answer:
The transformation f(x)↦f(-x) , the graph of f(x) reflects it across the y-axis
Step-by-step explanation: