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2 years ago

Find the minimum sample size needed to be 99% confident that the sample's variance is within 30% of the population's variance.

Mathematics

1 answer:

liq [111]2 years ago

7 0

The Minimum sample size table is attached below

Answer:

$X=173$

Step-by-step explanation:

From the question we are told that:

Confidence Interval $CI=99\%$

Variance $\sigma^2=30\%$

Generally going through the table the

Minimum sample size is

$X=173$

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Circle A has a diameter of 9 cm Circle B has a radius of 5 cm which Circle has the largest circumference and about how many cent

Alexandra [31]

Answer:

circle b and it is bigger by 1 centimeter

Step-by-step explanation:

since circle b has a radius of 5 and radius is have of the diameter you have to do 5+5 to get the diameter when you do that you get 10 and then you have to subtract circle a diameter which is 9 from circle b diameter which is 10 so 10-9 is 1

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3 years ago

Helen has 48 cubic inches of clay to make a solid square right pyramid with a base edge measuring 6 inches. Which is the slant h

Nikitich [7]

Answer: 5 inches

Step-by-step explanation:

Given: Volume of clay = 48 cubic inches

If we make a solid square right pyramid with a base edge a= 6 inches.

Then its base area = $a^2=6^2=36\ inches^2$

we know that volume of square right pyramid= $\frac{1}{3}\times\ a^2h$

Therefore, volume of square right pyramid made by all of clay= $\frac{1}{3}\times\ a^2h$ =48 cubic inches

$\Rightarrow\frac{1}{3}\times\ (36)\times\ h=48\\\Rightarrow12h=48\\\Rightarrow\ h=4\ inches.....\text{[Divide 12 on both sides]}$

Now, slant height $l=\sqrt{(\frac{a}{2})^2+h^2}$

$\\\Rightarrow\ l=\sqrt{3^2+4^2}\\\Rightarrow\ l=\sqrt{9+16}\\\rightarrow\ l=\sqrt{25}\\\Rightarrow\ l=5$

The slant height of the pyramid if Helen uses all the clay=5 inches

5 0

2 years ago

Read 2 more answers

I’m confused on this question, please help me. (Ignore the black coloring, sorry.)

neonofarm [45]

To answer this question you will find out the total number of cupcakes donated and then calculate the amount of each flavor based on the percentage that is stated.

Here are the steps:

1. 12 x 10 x 12 (12 classes each donating 10 dozen) = 1440

2. 0.55 x 1440 (55% are chocolate) = 792 chocolate

3. 1440 - 792 (the remaining number of cupcakes)=648

4. 1/3(33 1/3%) x 648 = 216 red velvet

5. 1440 - 792 (chocolate) - 216 (red velvet) = 432 vanilla cupcakes

Chocolate-792
Red velvet - 216
Vanilla - 432

3 0

2 years ago

-2x+6<4 or 7x+1<-13 what is the answer

Juliette [100K]

I guess x<1 and x<-2

7 0

2 years ago

Read 2 more answers

Item 16 A sphere has a radius of 8 centimeters. A second sphere has a radius of 2 centimeters. What is the difference of the vol

Zigmanuir [339]

Answer:

$672\pi \text{ cm}^3$ .

Step-by-step explanation:

We have been given that a sphere has a radius of 8 centimeters. A second sphere has a radius of 2 centimeters. We are asked to find the difference of the volumes of the spheres.

We will use volume formula of sphere to solve our given problem.

$\text{Volume of sphere}=\frac{4}{3}\pi r^3$ , where r is radius of sphere.

The difference of volumes would be volume of larger sphere minus volume of smaller sphere.

$\text{Difference of volumes}=\frac{4}{3}\pi(\text{8 cm})^3-\frac{4}{3}\pi(\text{2 cm})^3$

$\text{Difference of volumes}=\frac{4}{3}\pi(512)\text{ cm}^3-\frac{4}{3}\pi(8)\text{ cm}^3$

$\text{Difference of volumes}=\frac{4}{3}\pi(512-8)\text{ cm}^3$

$\text{Difference of volumes}=4\pi(168)\text{ cm}^3$

$\text{Difference of volumes}=672\pi\text{ cm}^3$

Therefore, the difference between volumes of the spheres is $672\pi \text{ cm}^3$ .

3 0

3 years ago