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3 years ago

Can anyone help me ?

Mathematics

1 answer:

gtnhenbr [62]3 years ago

7 0

The formula for the volume of a sphere is V=(4/3) (pi) r^3. if r is doubled then you get 2r as the radius and V=(4/3) (pi) * 8r^3 so the volume is eight times bigger than the original r value. if r is tripled the r =3r and (3r)^3 so the volume is 27 times bigger. If r is multiplied by n the radius is nr and (nr)^3 =n^3 r^3, Therefore, the volume is n^3 times bigger than the original.

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What does X = In question 2

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Answer:

Step-by-step explanation:

10/5=2/1 or 2

4+2=6

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What is the length of an arc defined by a 60 degree central angle in a circle with a radius of 5 in.?

Natali [406]

Answer:

5.24 in

Step-by-step explanation:

The arc length is calculated as

arc = circumference × fraction of circle

= 2πr × $\frac{60}{360}$

= 2π × 5 × $\frac{1}{6}$

= $\frac{10\pi }{6}$ ≈ 5.24 in (2 dec. places )

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3 years ago

Yet another variation: A better packet switched network employs the concept of acknowledgment. When the end user’s device receiv

hram777 [196]

Answer:

P(N = n) = $(1-P)^{n-1} \times P$

Step-by-step explanation:

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3 years ago

A researcher wishes to be 95% confident that her estimate of the true proportion of individuals who travel overseas is within 3%

andre [41]

Answer: a) 683 b) 1067

Step-by-step explanation:

The confidence interval for population proportion is given by :-

$p\pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}$

a) Given : Significance level : $\alpha=1-0.95=0.05$

Critical value : $z_{\alpha/2}}=\pm1.96$

Margin of error : $E=0.03$

Formula to calculate the sample size needed for interval estimate of population proportion :-

$n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.2(0.8)(\dfrac{1.96}{0.03})^2=682.951111111\approx683$

Hence, the required sample size would be 683 .

b) If no estimate of the sample proportion is available then the formula to calculate sample size will be :-

$n=0.25(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.25(\dfrac{1.96}{0.03})^2=1067.11111111\approx1067$

Hence, the required sample size would be 1067 .

3 0

3 years ago

Sam wants to make 4 gallons of vegetable bean soup. The recipe below makes 13 gallon of soup. Help Sam make his grocery list for

Zolol [24]

The proportion of the recipe required to make the grocery list is obtained from the recipe for the beans soup.

The grocery list is therefore;

15 cups of honey beans

9 cups carrots

12 cups cherry tomato

192 oz. vegetable broth

10.5 cup turnips

6 teaspoon salt

8 cups potato onions

1.25 teaspoons thyme

12 teaspoons garlic

Reason:

Amounts of beans soup Sam wants to make = 4 gallons

The recipe for the beans soup is as follows as obtained from an online home work document are;

Vegetable Bean Soup that Serves 4 with volume of 0. $\overline 3$ gallons

1.25 cups of honey beans

0.75 cup carrots

1 cup cherry tomato

16 oz. vegetable broth

0.875 cup turnips

0.5 teaspoon salt

$0.\overline 6$ cup potato onions

0.125 teaspoon thyme

1 teaspoon garlic

The amount of each ingredient Sam needs is given by the ratio of amount of soup Sam wants to make and the given amount of soup made by the ingredients as follows;

$Multiple \ of \ ingredient \ amount = \dfrac{4}{0. \overline 3} = \dfrac{4}{\dfrac{1}{3} } = 4 \times 3 = 12$

Therefore, Sam has to buy twelve times the amount of each ingredient as follows;

Vegetable Bean Soup that Serves 4 with volume of 0. $\mathbf{\overline 3}$ gallons

12 × 1.25 = 15 cups of honey beans

12 × 0.75 = 9 cups of carrots

12 × 1 = 12 cups of cherry tomato

12 × 16 = 192 oz. vegetable broth

12 × 0.875 = 10.5 cup turnips

12 × 0.5 = 6 teaspoon salt

12 × $0.\overline 6$ = 8 cups of potato onions

12 × 0.125 = 1.25 teaspoons thyme

12 × 1 = 12 teaspoons garlic

The grocery list is therefore;

15 cups of honey beans

9 cups carrots

12 cups cherry tomato

192 oz. vegetable broth

10.5 cup turnips

6 teaspoon salt

8 cups potato onions

1.25 teaspoons thyme

12 teaspoons garlic

Learn more here:

brainly.com/question/20364628

brainly.com/question/21464667

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2 years ago