Susan has a blue skirt, a green skirt, and a gray skirt. She also has a white sweater, a purple sweater, and a green sweater.
If she randomly selects her outfit, what is the probability she will select the gray skirt and the purple sweater to wear to work that day?

Answer:

a)x₁  = 24  business owners plan to provide a gift this year

b)  p-value = 0,0017

c)p-value < α   we have to eject H₀   And support the claim that the proportion of business owners providing gifts has decrease

Step-by-step explanation:

a) Sample size 80

proportion  p₁  = 30 %   p₁ = 0,3

Then   x₁ = 80*0,3

x₁  = 24  business owners plan to provide a gift this year

b) Hypothesis Test

Null Hypothesis                    H₀          p₁  =  0,45

Alternative Hypothesis        Hₐ          p₁  <  0,45

p₁  =  0,3   then  q₁  =  1  -  0,3    q₁ =  0,7

z(s)  = ( p₁  -  0,45 )/ √p₁* q₁ / n

z(s)  =  -  0,15 / √0,002625

z(s) = - 0,15 / 0,05123

z(s) = - 2,9279

b)From z-table we find  p-value = 0,0017

c) If  α = 0,05   ( significance level )  as

p-value < α   we have to eject H₀   And support the claim that the proportion of business owners providing gifts has decrease

Answer:

Range is [tex]-5 \le y \le 5[/tex]

Range in interval notation is  [-5, 5]

==========================================================

Explanation:

Refer to the diagram below. As marked in red, the smallest y value is y = -5. The largest y value is y = 5. The range is the set of y values between these endpoints, including both endpoints.

We can say the range is [tex]-5 \le y \le 5[/tex]

In interval notation, we write that as [-5, 5]. The use of square brackets tells the reader that the endpoints are included as part of the range.

Answer:

C, he interviewed the most people.

Brainliest please!

Answer:

C. Zach's

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

Answer:

8,25

Step-by-step explanation:

Answer:

1) c. 10

2) a. 1 and 18

3) d. 17

4) I think it's actually 12 but I don't know

Answer:

the answer is 62.8cm^2

Step-by-step explanation:

4•3.14•5

By using the formula for the surface area of the sphere [tex]S.A = 4 \pi r^2[/tex], the surface area of this sphere would be, [tex]S.A = 314[/tex] cm²

Used the formula of the surface area of the sphere,

[tex]S.A = 4 \pi r^2[/tex]

Where 'r' is the radius of the sphere.

Given that,

Diameter of a sphere = 10 cm

We know that the radius of the sphere is half of the diameter of the sphere.

Hence, the radius of the sphere is,

[tex]r = \dfrac{10}{2}[/tex]

[tex]r = 5[/tex] cm

Substitute r = 5 cm in the above formula,

[tex]S.A = 4 \pi r^2[/tex]

[tex]S.A = 4 \times 3.14 \times 5^2[/tex]

Therefore, the surface area of a sphere is,

[tex]S.A = 314[/tex] cm²

To know more about Sphere visit:

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Answer:

1) Area:

So to find area follow the formula

a=πr^2

a=area

π= pi or 3.14 in this situation

r= radius

So we have only the diameter.

To in Find the radius you can divide the diameter by 2 and get the radius which is

84/2=42

3.14*42^2=

Area: 5538.96 ft^2

2) Circumference:

To find the circumfeence you just multiply the diameter by π or in this case 3.14.

c=πd

c= circumference  

d= diameters

3.14*84=

Circumfrence: 263.76 ft

Answer:

6 boxes

Step-by-step explanation:

HCF of 42 and 49 gives us 7.

So, 7 is the greatest number of boxes used if all cookies were packed.

Mark me brainliest thenkss :)

Answer:

1. college

2, salary

3. true experiment

4. 2

Step-by-step explanation:

1. in this scenario the independent variable is the college. that is  either walton college or non walton.

2. the dependent variable is the variable of interest. And this is salary. Students want to know what to major in that can give them a lot of salary when they start working.

3. This is a true experiment due to the random sample assigned.

4.  2 conditions to infer causation have been met.

Answer:

{13.7756,18.2244}

Step-by-step explanation:

Given the sample size, the margin of error can be calculated with the formula [tex]M=Z*\frac{\sigma}{\sqrt{n}}[/tex] where Z is the critical value for the desired confidence level, σ is the population standard deviation, and n is the sample size. Therefore, our margin of error for a 90% confidence level is:

[tex]M=Z*\frac{\sigma}{\sqrt{n}}=1.645*(\frac{8}{\sqrt{35}})=2.2244[/tex]

The formula for a confidence interval is [tex]CI=\bar{x}+M[/tex] where x-bar is the sample mean. Therefore, the 90% confidence interval for the mean amount of sushi pieces a person can eat is:

[tex]CI=\bar{x}\pm[M]=16\pm2.2244={13.7756,18.2244}[/tex]

Therefore, we are 90% confident that the true mean amount of sushi pieces a person can eat is contained within the interval {13.7756,18.2244}

Answer: y = 12x + 5

Step-by-step explanation:

Since the going rate is $12/hr, that will be the x coefficient. Since the starting fee is $5, that will be the y-intercept.

Answer:

The three main types of coral reefs are fringing, barrier, and atoll. Schools of colorful pennantfish, pyramid, and milletseed butterflyfish live on an atoll reef in the Northwestern Hawaiian Islands. The most common type of reef is the fringing reef. This type of reef grows seaward directly from the shore.

Step-by-step explanation:

hopes this help

Answer:Hidden beneath the ocean waters, coral reefs teem with life. Fish, corals, lobsters, clams, seahorses, sponges, and sea turtles are only a few of the thousands of creatures that rely on reefs for their survival.

Coral reefs are also living museums and reflect thousands of years of history. Many U.S. coral reefs were alive and thriving centuries before the European colonization of the nearby shores. Some reefs are even older than our old-growth redwood forests. They are an integral part of many cultures and our natural heritage.

Today, these important habitats are threatened by a range of human activities. Many of the world’s reefs have already been destroyed or severely damaged by water pollution, overfishing and destructive fishing practices, disease, global climate change, and ship groundings. However, we can still protect and preserve our remaining reefs by acting now.

Step-by-step explanation: What i found

Answer:

C

Step-by-step explanation:

i got this correct on my test

Answer:

D) 13 1/8

Step-by-step explanation:

105/8=13 1/8 cups

Hope this helped! :)

Answer:

huh?

Step-by-step explanation:

Answer:

If x=0 then the answer is 20.

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

6x0 = 0 so 20 plus 0 = 20 when x = 0 because x cancels out

Answer:

56

Step-by-step explanation:

Angles w and 124 are linear pair angles,

w + 124 = 180

w = 180 - 124

w = 56

Answer:

12

Step-by-step explanation:

12/2=6

Tell me if it works

Answer: z=12

Step-by-step explanation: Hope this help :D

Answer:

B

Step-by-step explanation:

I think it is B because 6 times 5 = 30. So 30 times 1/2 = 60  hope this is correct and it helped and if it is not correct try C and can i get a brainliest

Answer:

Below in bold.

Step-by-step explanation:

Part A.

9a^2 - 24a + 16

= (3a - 4)(3a - 4).

Length of each side = 3a - 4 units.

Part B.

25a^2 − 36b^2

= (5a - 6b)(5a + 6b).

The dimensions are 5a-6b and 5a+6b.

The length of each side would be 3a - 4 units. The dimensions are 5a - 6b and 5a + 6b.

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

Part A.

The area of a square is [tex]9a^2 - 24a + 16[/tex] square units.

To determine the length of each side of the square by factoring the area expression completely.

[tex]9a^2 - 24a + 16\\\\= (3a - 4)(3a - 4).[/tex]

The Length of each side = 3a - 4 units.

Part B.

The area of a rectangle is [tex]25a^2 - 36b^2[/tex]square units.

To determine the dimensions of the rectangle by factoring the area expression completely.

[tex]25a^2 - 36b^2\\= (5a - 6b)(5a + 6b).[/tex]

The dimensions are 5a - 6b and 5a + 6b.

Learn more about the area;

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Answer:

([tex]\frac{5}{2}[/tex], 3)

Step-by-step explanation:

I got 5/2 as my x variable and 3 for my y variable to being the midpoint. In which I added both my x variables provided ( 3 and 2 ) and then I divided them by two to get half of that (since you are looking for in between those two digits technically so you are wanting to find the midpoint or the middle of that line segment). I also did the same with the two y variables as well which were 7 and -1, then I divided both by two to get the variable 3.

Answer:

5/2, 3

Step-by-step explanation:

that should be your answer (hopefully)

Answer:

Solution given:

9x-4=8+7x[Vertically opposite angle]

9x-7x=8+4

2x=12

x=12/2

x=6

:.8+7x=8+7×6=50°

Answer:

50

Step-by-step explanation:

9x - 4 = 8 + 7x

x = 6

Therefore, 8 + (7 *6) = 50

The measure of the angle is 50

Thenks and mark me brainliest :)))

Answer:

X = 1

Step-by-step explanation:

X is none number but equals to 1

Answer:

X=11

Step-by-step explanation:

Similar triangles....

6/48 = 5/3x+7

6(3x+7) =240

3x+7=40

3x=33

x=11

Answer:

The slope of the line that is perpendicular is 3/8

Step-by-step explanation:

The slope of the line through

(-6,4) (10,-2)

m = ( y2-y1)/(x2-x1)

    = ( 10 - -6)/( -2 -4)

    = (10+6)/(-2-4)

     = 16/-6

    =-8/3

A line perpendicular has a slope that is the negative reciprocal

- 1/( -8/3)

+ 3/8

The slope of the line that is perpendicular is 3/8

Answer: 640-720

Step-by-step explanation:

Answer:

F

B

E

D

C

A

Step-by-step explanation: