which situation represents causation rather than correlation?

Answer:

It's B: 120

EDGE 2020/2021

Step-by-step explanation:

Like the guy in the comments said, 140 - 20 = 120

It also makes sense because the whole thing would equal 360, and if you add 140, 20 and 120 together you get 80. As you can see by the angles, there are 2 more sections other than PHJ that we do not know that look equal size. 80 in half is 40, and both sides left look about two times larger than PKH which is the angle with the 20. In conclusion PHJ is 120.

in this cases all angles have to add up to 360, so that's how I know it's 120 by adding up and seeing if this could make up the 360 degrees.

Answer:

B : 120

Step-by-step explanation: Just did the test edge 22 so person above me is correct.

1. a. Emily's accounting profit for the year is $39,000 ($81,000 in revenues minus $42,000 in explicit costs).

b. Emily's economic profit for the year is $21,000 ($81,000 in revenues minus $42,000 in explicit costs minus $18,000 in opportunity costs, which is the $60,000 inheritance she could have earned 5% interest on if she had invested it in a bond fund instead of using it to start the business).

2. The average product is the total product divided by the number of workers.
TABLE 6.5
Units of Labour    Total Product  Average Product    Marginal Product
0                          0                             -                                -
1                          12                           12                           12
2                          30                           15                           18
3                          54                           18                           24
4                          68                           17                           14
5                          80                           16                           12
6                          84                           14                            4
7                          77                           11                           -7

3. a.
TABLE 6.7
Number of Workers    Average Product    Total Product    Marginal Product
0                                     -                             0                                -
1                                     40                           40                            40
2                                     70                           140                          30
3                                     90                           270                          20
4                                     100                         400                          10
5                                     105                         525                          5
6                                     105                         630                          0
7                                     100                         700                          -5

b. The point of diminishing returns is first apparent when 5 workers are being used.

c. The number of workers being used when total product is at a maximum is 6.

d. The most productive output is when 5 workers are being used, with a total product of 525 units and a marginal product of 5 units.

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Check the picture below.

\(\stackrel{\textit{\Large Areas}}{\stackrel{semi-circle}{\cfrac{1}{2}\pi (2)^2}~~ + ~~\stackrel{rectangle}{(4)(9)}~~ + ~~\stackrel{triangle}{\cfrac{1}{2}(5)(4)}}\implies 2\pi +36 + 10~~ \approx ~~ 52.28\)

Answer : B

Step-by-step explanation:

Ape

The statement which is true is  KM = 2 .JM, the correct option is C.

A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.

We are given that;

AJKL is an equilateral triangle

Now,

Using these properties, we can eliminate some of the options.

Option A is false because JK and KM are not equal. JK is half of JL, which is one side of the equilateral triangle AJKL, while KM is a perpendicular bisector of JL.

Option B is false because AJKM is not a right triangle. The angle JAK is 60 degrees, not 90 degrees.

Option D is false because AJKM is not a right triangle. The angle JAK is 60 degrees, not 45 degrees.

Option C must be true because KM bisects JL into two equal parts JM and ML. Since JL is one side of the equilateral triangle AJKL, we have JL = AK = AL. Therefore, JM = ML = JL/2 = AK/2 = AL/2. By Pythagoras’ theorem, we have:

KM^2 = AK^2 - AM^2

KM^2 = (AK/2)^2 - (AL/4)^2

KM^2 = (AK/4)^2 + (AL/4)^2

KM^2 = ((AK + AL)/4)^2

Since AK + AL = 2 * JL,

KM^2 = (JL/4)^2 * 4

KM^2 = (JL/4)^2 * 4

KM = JL/4 * 2

KM = JL/2

Therefore, the answer of the triangle will be KM = 2 * JM.

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Answer:

The answer is D.

Step-by-step explanation:

hope that helps

(2x⁴y)³

=8x¹²y³

Question:

the equation of a polynomial to match the dotted graph

Points given (-3,0), (-2,0), (0,0), (3,0)​

Solution:

Notice that if P is a polynomial and c is a real number, then the following are equivalent:

1. c is a zero of P.

2. x = c is a solution of the equation P(x) = 0.

3. x- c is a factor of P(x).

4. c is an x-intercept of the graph of P.

Then, due to the above, we can conclude that as -3, -2, 0, and 3 are zeroes of P, the P(x) can be written as:

this is equivalent to:

In expanded form, this is equivalent to:

then, the correct answer is:

Answer:

100=(x−1)2(y+3)

Step-by-step explanation:

Suppose the centre of the circle was at the origin (where the x axis crosses the y axis). Then the equation would be:

r2=x2+y2

The reason for this format is that the length of the radius (which is of fixed length) can be related to x and y by Pythagoras. However, the circle centre is not at the origin. It is at

(x,y)→(1,−3)

So we can mathematically make this work by 'theoretically' moving the actual centre to a new centre located at the origin.

Thus we would have:

r2=(x−1)2+(y−(−3))2

r2=(x−1)2+(y+3)2

But the radius is 10 so we have

(10)2=(x−1)2+(y+3)2

100=(x−1)2+(y+3

Answer:

(28000/100)*93 = $26,040

Step-by-step explanation:

Divide 28000 by 100 and multiply by 93 (100-7) = 26040

Answer:

14.4 years (about 14 years 6 months)

Step-by-step explanation:

Given data

Principal= $3000

Rate= 4.8%

A. Time= 5 years

The expression for compound interest is

A=P(1+r)^t

Substitute

A= 3000(1+0.048)^5

A= 3000(1.048)^5

A=3000*1.264

A=$3792

Hence the balance will be $3792

B. Final Amount A = $6000

The expression to find time is given ast

t= ln(A/P) / r

substitute

t= ln(6000/3000)/0.048

t= ln2/0.048

t= 0.6931/0.048

t=14.43

Hence the time is 14.4 years (about 14 years 6 months)approx

The random variable in this scenario is the speed of the cable internet connection. Specifically, it is the mean speed of the connection over a period of time.

In statistical terms, the mean speed is the sample mean of the speeds measured during the test. To determine if the mean speed is more than three megabits per second, a hypothesis test can be performed. The null hypothesis would be that the mean speed is equal to or less than three megabits per second, while the alternative hypothesis would be that the mean speed is greater than three megabits per second.

The test would involve collecting a sample of speed measurements, calculating the sample mean, and comparing it to a critical value or p-value to determine if the null hypothesis can be rejected in favor of the alternative hypothesis. This process requires a long answer because it involves several steps and statistical concepts.

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The Original price of the item  was $400.

Percentage can be defined as a number that denotes hundredth part of any quantity.

For Example , 50%of 30 =\(\frac{50}{100} *30=\frac{1500}{100} =15\).

In the given question

Amount paid by Joyce = $120

Let the original price =x

Percent of original price = 30%

According to the given Question

30% of x =120

\(\frac{30}{100} *x=120\\ \\ x=\frac{120*100}{30}\\ \\ \\ x=400\)

Therefore , the Original price of the item  was $400.

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The answer closest to the margin of error is option b: 4.2%.

To determine the margin of error at the 95% confidence level for the proportion of likely voters who prefer the incumbent candidate, we can use the formula:

Margin of Error = (Z * √(p*(1-p))/√n)

Where:

Z is the Z-score corresponding to the desired confidence level (95% corresponds to approximately 1.96)

p is the proportion of voters who prefer the incumbent candidate (42% or 0.42)

n is the sample size (350)

Calculating the margin of error:

Margin of Error = (1.96 * √(0.42*(1-0.42))/√350)

Using a calculator, the closest value to the margin of error is approximately 4.2%. Therefore, the answer closest to the margin of error is option b: 4.2%.

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The two expressions that would have the same product as 3.5 x 5.12 are:

184.32 x 1/12

76.8 x 3/12

The product of a number is the value that is derived when two or more numbers are multiplied by each other.

Product of 3 and 5.12 is 15.36.

In order to determine what number should be multipled by 1/12 to yield 15.36, multiply 15.36 by 12: 15.36 x 12 = 184.32

In order to determine what number should be multipled by 3/12 to yield 15.36, multiply 15.36 by 4: 15.36 x 4 = 76.8

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In approximately 11.41% of years, the rainfall will be between 50 and 70 centimeters in that town.

To solve this problem, we need to find the percentage of years where the rainfall is between 50 and 70 centimeters. We can do this by standardizing the rainfall values and using a standard normal distribution table.

First, we need to standardize the rainfall values of 50 and 70 centimeters using the formula

z = (x - μ) / σ

where

z is the standardized value

x is the rainfall value

μ is the mean

σ is the standard deviation

For x = 50

z = (50 - 95) / 28

z = -1.607

For x = 70

z = (70 - 95) / 28

z = -0.893

Next, we use a standard normal distribution table or calculator to find the area under the curve between these two standardized values. This represents the percentage of years where the rainfall is between 50 and 70 centimeters.

Using a standard normal distribution table, we can find that the area under the curve between z = -1.607 and z = -0.893 is 0.1141. This means that approximately 11.41% of years will have rainfall between 50 and 70 centimeters in this town.

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Answer:

-5 and 4

Step-by-step explanation:

-5 x 4 = 20

-5 + 4 = -1

Answer:

-5 and 4

Step-by-step explanation:

-5 + 4 = -1

-5 x 4 = -20

The five-number summary for the given data is: min = 8, q1 = 10, median = 12, q3 = 19, max = 20.

To find the five-number summary, we need to arrange the data in ascending order: 8, 8, 9, 10, 10, 10, 11, 11, 13, 13, 13, 19, 19, 20, 20, 20.

1. Minimum (min): The smallest value in the data set is 8, which represents the minimum number of hours spent doing homework.

2. First quartile (q1): To find the first quartile, we take the median of the lower half of the data. In this case, the lower half is: 8, 8, 9, 10, 10, 10, 11, 11. The median of this lower half is 10, which is the first quartile (q1).

3. Median (q2): The median is the middle value of the data set when it is arranged in ascending order. In this case, the middle two values are 11 and 13. To find the median, we take the average of these two values: (11 + 13) / 2 = 12.

4. Third quartile (q3): Similar to finding q1, we take the median of the upper half of the data. The upper half is: 13, 13, 19, 19, 20, 20, 20. The median of this upper half is 19, which is the third quartile (q3).

5. Maximum (max): The largest value in the data set is 20, which represents the maximum number of hours spent doing homework.

Therefore, the five-number summary for the given data is: min = 8, q1 = 10, median = 12, q3 = 19, max = 20.

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Answer:

\(1*2^{24}\)=16777216

Step-by-step explanation:

y=C*2^t is the equation for this type of growth

C is starting population and t is time

C=1 and t=24 (1 day= 24 hours)

Solve

Answer:

1

Step-by-step explanation:

there is no difference in the triangle

it can't be 0 because 5*0 would be 0 which means that there will be no length

Answer:

Step-by-step explanation:

a) We have 15! as the product of 1 to 15 natural numbers.  Since 17 is prime there will be no factor common to these

By actual division we find

15! (mod 17) =16

From this we deduce

even 16! mod 17 = 16 = -1

According to Wilson theorem

(17-1)! = -1 mod 17

Thus verified 17 is prime

Hence 15! (mod 17) =-1=16

-----------------------

b) 2(26!) is divided by 29

Since 29 is prime

(29-1)! = -1 mod 29

28! = -1 mod 29 = 28

When divided this gives 25 as remainder

THANKS  

0

Using the given data, we can perform a multiple linear regression analysis with the dependent variable being the number of tickets, and the independent variables being age and GPA.

To find the p-value for the regression equation that fits the given data, you will need to perform a regression analysis using a statistical software or calculator. Once you have done this, you can look at the output to find the p-value. Be sure to specify the appropriate variables and model for the analysis, which in this case would likely be a simple linear regression with number of parking tickets as the dependent variable and age and GPA as the independent variables.
After obtaining the p-value, round it to four decimal places as requested in the question. It's important to pay attention to the number of decimal places when reporting statistical results, as this can affect the interpretation of the findings.
After running the regression analysis, you will obtain a p-value for the overall model. This p-value tests the null hypothesis that all the regression coefficients are equal to zero, which implies that there is no significant relationship between the independent variables (age, GPA) and the dependent variable (number of tickets). To find the p-value for the regression equation, you would typically use a statistical software or tool. Once you obtain the p-value, round it to four decimal places as requested. Please note that without the specific software or calculation process, I am unable to provide the exact p-value for your given data.

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Answer:

Use M a t h w a y it helps. Trust me.

The sum of scores in quizzes of math is \(\boldsymbol{885}\).

"To understand the calculation, check below."

Mean is calculated by dividing sum of all the observations by number of observations.

For a data collection containing numbers that are close together, the mean is the best option.

Total number of quizzes in math \(=10\)

Mean scores \(=88.5\)

Therefore,

Sum of all scores \(=10 \times 88.5\) \(=\boldsymbol{885}\)

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Answer:

\(y=3x+5\)

Step-by-step explanation:

Parallel lines have the same slope.

This means that we would only have to change the y-intercept to get our new line.

We are asked to write an equation of a parallel line with the y-intercept of five.

Rewrite the infomation to create the new equation. Note that parrarell lines have the same slope.

\(y = 3x + 2\rightarrow\boxed{y=3x+5}\)

Hope this helps.

The volume of the prism is

The volume of the prism is solved by the formula

= area of triangle * depth

Area of the triangle

= 1/2 base * height

base = p = cos 51.34 * √41 = 4

height = q = sin 51.34 * √41 = 5

= 1/2 * 4 * 5

= 10

volume of the prism

= area of triangle * depth

= 10 * 7

= 70 cm³

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Step-by-step explanation:

the distance of a vertex on the 2 outgoing sides to the touching points with the inscribed circle is the same for both sides.

and that applies to all 3 vertexes.

so, we know for the top left vertex the distance to both touching points is 4.

that means the distance to the touching points from the bottom left vertex is 7-4 = 3.

and that means that the distance to the touching points from the bottom right vertex is 16-3 = 13.

so, x = 13

it is the distance to one of the touching points for the bottom right vertex.

and the perimeter of the triangle is therefore

7 + 16 + (13 + 4) = 40

The expected value (e(x)) of the given probability mass function can be calculated as 1.36.

To find the expected value (e(x)), we need to calculate the weighted average of the values of x using their respective probabilities. The given probability mass function is F(x) = (2x + 1)/25.

We can calculate the expected value using the formula:

e(x) = Σ(x * P(x))

where Σ denotes the sum, x represents the values, and P(x) represents the probabilities.

For the given function, the values of x are 0, 1, 2, 3, and 4.

Plugging in the values into the formula:

e(x) = (0 * P(0)) + (1 * P(1)) + (2 * P(2)) + (3 * P(3)) + (4 * P(4))

Calculating the probabilities for each value:

P(0) = (2 * 0 + 1)/25 = 1/25

P(1) = (2 * 1 + 1)/25 = 3/25

P(2) = (2 * 2 + 1)/25 = 5/25 = 1/5

P(3) = (2 * 3 + 1)/25 = 7/25

P(4) = (2 * 4 + 1)/25 = 9/25

Substituting these values into the expected value formula:

e(x) = (0 * 1/25) + (1 * 3/25) + (2 * 1/5) + (3 * 7/25) + (4 * 9/25)

= 0 + 3/25 + 2/5 + 21/25 + 36/25

= 1.36

Therefore, the expected value (e(x)) of this probability mass function is 1.36. Thus, the correct option is b. 1.36.

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Answer:

147

Step-by-step explanation:

Multiply the average by the number of values

85*5=425

Find the sum of the 3 values you have

102+96+80=278

Take the sum of the 3 values you have away from the sum of all 5 values

425-278=147

Answer:

Step-by-step explanation:

(102 + 96 + 80 + x + y)/5 = 85

278 + x + y = 85 × 5

278 + x + y = 425

x + y = 425 - 278

x +  y = 147

Answer:

Step-by-step explanation:

Solving systems of equations gives the points of intersection when the equations are graphed.

The answer is 3.