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Ipatiy [6.2K]
2 years ago
15

Gerald has a punch bowl in the shape of a hemisphere as shown below.

Mathematics
1 answer:
zmey [24]2 years ago
6 0

The closest to the maximum number of cups the punch bowl can hold is 30

<h3>How to determine the number of cups?</h3>

The given parameters are:

1 cup = 15 cubic inches

Diameter of bowl, d = 12 inches

The radius is the half of the diameter.

So, we have:

r = 6

The volume of the bowl is then calculated using:

V = \frac{2}{3}\pi r^3

This gives

V = \frac{2}{3}\pi * 6^3

Evaluate

V = 452.16

The maximum number of cups is then calculated using:

Cups = 452.16/15

Evaluate

Cups = 30.1444

Approximate

Cups = 30

Hence, the closest to the maximum number of cups the punch bowl can hold is 30

Read more about volumes at:

brainly.com/question/1972490

#SPJ1

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Alchen [17]

Answer:

6\frac{2}{3} in. by 10 in.

Step-by-step explanation:

2 ft by 3 ft, inches is:

2 * 12 = 24 inch

3 * 12 = 36 inch

24 * 36

Thus, to make 36 into 10, we divide 36 by 3.6 to get 10:

36/3.6 = 10

To keep ratio equal, we need to divide 24 by 3.6 to get:

24/3.6 = 6\frac{2}{3}

Thus, Third answer choice is right.

3 0
3 years ago
A consulting firm had predicted that 35% of the employees at a large firm would take advantage of a new company Credit Union, bu
m_a_m_a [10]

Answer:

a) 0.4770

b) 3.9945

c) z-statistics seem a large value

Step-by-step explanation:

<u>a. Find the standard deviation of the sample proportion based on the null hypothesis</u>

Based on the null hypothesis:

p_{0}: 0.35

and the standard deviation σ = \sqrt{p_{0} *(1-p_{0}) } =\sqrt{0.35 *0.65 } ≈0.4770

<u>b. Find the z statistic</u>

z-statistic is calculated as follows:

z=\frac{X-p_{o} }{\frac{s}{\sqrt{N} } } where

  • X is the proportion of employees in the survey who take advantage of the Credit Union (\frac{138}{300}=0.46)
  • p_{0} is the proportion in null hypothesis (0.35)
  • s is the standard deviation (0.4770)
  • N is the sample size (300)

putting the numbers in the formula:

z=\frac{0.46-0.35} }{\frac{0.4770}{\sqrt{300} } } = 3.9945

<u>c. Does the z statistic seem like a particularly large or small value?</u>

z-statistics seem a large value, which will cause us to reject the null hypothesis.

4 0
4 years ago
Olivia ordered 24 cupcakes and a layer of cake. The layer cost $16 and the total cost of the order was $52. What was the price o
ArbitrLikvidat [17]
$16 was only for the layer.
$52-$16= cost of the cupcakes in total.
$36=cost of all cupcakes
36/24= cost of one cupcake
1.5= cost of one cupcake

each cupcake costs $1.50
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4 years ago
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The product of 100 x a number would be 10 times larger than the product of 11 x a number
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3 years ago
Graph the system below and write its solution.
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Step-by-step explanation:

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