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Furkat [3]
3 years ago
7

Si se conoce que un cilindro posee un volumen de 25% mayor que el de una esfera con un área de

Mathematics
1 answer:
Rufina [12.5K]3 years ago
5 0

Answer:

720\pi

Step-by-step explanation:

Translating to English:

A cylinder has a volume that is 25% greater than a sphere with a surface area of 576\pi. What is the cylinder's volume?

<u>Solution:</u>

This isn't a hard question. You do not need to get inside the nitty gritty of the formula for volumes and surface areas. The SA of sphere is given and we are told the VOLUME of CYLINDER is 25% GREATER THAN THIS!

So, we just need to figure out what is 25% greater than 576\pi

Lets keep the \pi as constant and find 25% greater than 576 and we tag along the \pi.

We need to find 25% of 576 and add it to 576 to get our answer.

25% = 25/100 = 0.25

So,

0.25*576 = 144

So,

144 + 576 = 720

The answer would be 720\pi

The 2nd answer choice (with a typo here), is correct.

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3 years ago
You are testing the claim that the proportion of men who own cats is significantly different than the proportion of women who ow
otez555 [7]

Answer:

Step-by-step explanation:

This is a test of 2 population proportions. Let 1 and 2 be the subscript for the men and women who own cats respectively. The population proportion of men and women who own cats would be p1 and p2 respectively.

p1 - p2 = difference in the proportion of men and women who own cats.

The null hypothesis is

H0 : p1 = p2

p1 - p2 = 0

The alternative hypothesis is

Ha : p1 ≠ p2

p1 - p2 ≠ 0

it is a two tailed test

Sample proportion = x/n

Where

x represents number of success

n represents number of samples

For men

n1 = 80

p1 = 55/100 = 0.55

x1 = p1n1 = 0.55 × 80 = 44

For women,

n2 = 100

p2 = 30/100 = 0.3

x2 = p2n2 = 0.3 × 100 = 30

The pooled proportion, pc is

pc = (x1 + x2)/(n1 + n2)

pc = (44 + 30)/(80 + 100) = 0.41

1 - pc = 1 - 0.41 = 0.59

z = (p1 - p2)/√pc(1 - pc)(1/n1 + 1/n2)

z = (0.55 - 0.3)/√(0.41)(0.59)(1/80 + 1/100) = 3.39

Test statistic = 3.39

5 0
4 years ago
Suppose that the cost (in dollars) for a company to produce x pairs of a new line of jeans is described by the formula below. C(
Ad libitum [116K]

Answer:

a) The marginal cost function is given by

C'(x) = 4 + 0.04x + 0.0003x² (in dollars)

b) C'(70) = $8.27

Step-by-step explanation:

C(x) = 1000 + 4x + 0.02x² + 0.0001x³

a) Marginal cost is usually defined as the cost of producing one extra unit of product. It expresses how much the total cost is changing with respect to number of units of product.

Mathematically,

MC = (dC/dx) = C'(x)

For this question,

C'(x) = 4 + 0.04x + 0.0003x²

b) C'(70) means the marginal cost at x = 70 units, that is, how much the total cost is changing after the production of 70 units; the cost of producing one extra unit of product after producing 70 units.

C'(x) = 4 + 0.04x + 0.0003x²

C'(70) = 4 + 0.04(70) + 0.0003(70²)

C'(70) = $8.27

Hope this helps!

8 0
3 years ago
Write the following in scientific or standard notation:
AURORKA [14]

Answer:

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Step-by-step explanation:

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3 years ago
What is the equation of the line passing through (-2,-7) (4,23)
malfutka [58]

Answer:

The equation of line Passing through (2,3) and (4,7)

The slope of line is  

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7−3

​  

=  

2

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The equation of line is y−7=2(x−4)

y−7=2x−8

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Step-by-step explanation:

5 0
3 years ago
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