C. (4 points) The p-value for this study is 0.0002. Provide an interpretation of this p-value

Anthony works at a company where he gets a set 5% raise every year. If his current salary is

algol13

117,150

5% of 71,000 is 3,550, 3,550 c 13(years) = 46,150(what the company will add to his salary) 71,000 + 46,150 = 117,150

3 0

2 years ago

Which of the following can be used to create a regular tessellation?

svlad2 [7]

I think it’s d because it’s like similar

5 0

3 years ago

Read 2 more answers

An urn contains 5 white and 10 black balls. A fair die is rolled and that number of balls is randomly chosen from the urn. What

galina1969 [7]

Answer:

Part A:

The probability that all of the balls selected are white:

$P(A)=\frac{1}{6}(\frac{1}{3}+\frac{2}{21}+\frac{2}{91}+\frac{1}{273}+\frac{1}{3003}+0)\\ P(A)=\frac{5}{66}=0.075757576$

Part B:

The conditional probability that the die landed on 3 if all the balls selected are white:

$P(D_3|A)=\frac{\frac{2}{91}*\frac{1}{6}}{\frac{5}{66} } \\P(D_3|A)=\frac{22}{455}=0.0483516$

Step-by-step explanation:

A is the event all balls are white.

D_i is the dice outcome.

Sine the die is fair:

$P(D_i)=\frac{1}{6}$ for i∈{1,2,3,4,5,6}

In case of 10 black and 5 white balls:

$P(A|D_1)=\frac{5_{C}_1}{15_{C}_1} =\frac{5}{15}=\frac{1}{3}$

$P(A|D_2)=\frac{5_{C}_2}{15_{C}_2} =\frac{10}{105}=\frac{2}{21}$

$P(A|D_3)=\frac{5_{C}_3}{15_{C}_3} =\frac{10}{455}=\frac{2}{91}$

$P(A|D_4)=\frac{5_{C}_4}{15_{C}_4} =\frac{5}{1365}=\frac{1}{273}$

$P(A|D_5)=\frac{5_{C}_5}{15_{C}_5} =\frac{1}{3003}=\frac{1}{3003}$

$P(A|D_6)=\frac{5_{C}_6}{15_{C}_6} =0$

Part A:

The probability that all of the balls selected are white:

$P(A)=\sum^6_{i=1} P(A|D_i)P(D_i)$

$P(A)=\frac{1}{6}(\frac{1}{3}+\frac{2}{21}+\frac{2}{91}+\frac{1}{273}+\frac{1}{3003}+0)\\ P(A)=\frac{5}{66}=0.075757576$

Part B:

The conditional probability that the die landed on 3 if all the balls selected are white:

We have to find $P(D_3|A)$

The data required is calculated above:

$P(D_3|A)=\frac{P(A|D_3)P(D_3)}{P(A)}\\ P(D_3|A)=\frac{\frac{2}{91}*\frac{1}{6}}{\frac{5}{66} } \\P(D_3|A)=\frac{22}{455}=0.0483516$

7 0

3 years ago

4 times a number is 32 less than the square of that number. Find the negative solution.

zvonat [6]

Answer:

The negative solution is -4

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

x = a number

4x = x² - 32 (4 times a number is 32 less than the square of that number)

2. Let's solve for x and find the negative solution:

4x = x² - 32

-x² + 4x + 32 = 0

x² - 4x - 32 = 0 (Multiplying by - 1)

(x - 8) (x + 4) = 0

(x₁ - 8) = 0

(x₂ + 4) = 0

x₁ = 8

x₂ = -4

The negative solution is -4

3 0

2 years ago

Suppose a regular n-gon is inscribed in a circle of radius r. Diagrams are shown for n=6, n=8, and n = 12. n = 6 n=8 n = 12 a a

m_a_m_a [10]

Answer:If an N-gon (polygon with N sides) has perimeter P, then each of the

N sides has length P/N. If we connect two adjacent vertices to the

center, the angle between these two lines is 360/N degrees, or 2*pi/N

radians. (Do you understand radian measure well enough to follow me

this far?)

The two lines I just drew, plus the side of the polygon between them,

form an isosceles triangle. Adding the altitude of the isosceles

triangle makes two right triangles, and we can use one of them to

derive the equation

sin(theta/2) = s/(2R)

where theta is the apex angle (which I said is 2*pi/N radians), R is

the length of the lines to the center (the radius of the circumscribed

circle), and s is the length of the side (which I said is P/N).

Putting those values into the equation, we have

sin(pi/N) = P/(2NR)

so that

P = 2NR sin(pi/N)

gives the perimeter of the N-gon with circumradius R.

Can we see a connection between this formula and the perimeter of a

circle? The perimeter of the circumcircle is 2*pi*R. As we increase

N, the perimeter of the polygon should get closer and closer to this

value. Comparing the two, we see

2NR*sin(pi/N) approaches 2*pi*R

N*sin(pi/N) approaches pi

You can check this out with a calculator, using big numbers for N such

as your teacher's N=1000. If you calculate the sine of an angle in

degrees rather than radians, the formula will look like

N*sin(180/N) --> pi

Step-by-step explanation:

6 0

3 years ago