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tamaranim1 [39]
2 years ago
15

A watch company is developing packaging for its new watch. the designer uses octagons with a base area of 30 in2 and rectangles

with a length of 10 in to create a prototype for the new package. what is the volume of the prototype?
SAT
1 answer:
Bess [88]2 years ago
8 0

The volume of the prototype is 300 inches cube.

<h3>How to find volume?</h3>

The volume of the prototype can be found as follows:

volume = base area × height

Therefore,

base area = 30 inches²

height = length = 10 inches.

Hence,

volume of the prototype = 30 × 10

volume of the prototype =  300 inches³.

Therefore, the volume of the prototype is 300 inches³

learn more on volume here: brainly.com/question/16214176

#SPJ4

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anna had 50 brooms. alisa had 10 more brooms than anna. what was the ratio of anna’s brooms to alisa’s brooms?
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2 years ago
company manufactured six television sets on a given day, and these TV sets were inspected for being good or defective. The resul
lana [24]

Sampling distribution involves the proportions of a data element in a given sample.

  • <em>The proportion of Good TV set is 0.67</em>
  • <em>The number of ways of selecting 5 from 6 TV sets is 6</em>
  • <em>The number of ways of selecting 4 from 6 TV sets is 15</em>

<em />

Given

n = 6

Sample Space = Good, Good, Defective, Defective, Good, Good

<u>(a) Proportion that are good</u>

From the sample space, we have:

Good = 4

So, the proportion (p) that are good are:

p = \frac{Good}{n}

p = \frac{4}{6}

p = 0.67

<u>(b) Ways to select 5 samples (without replacement)</u>

This is calculated using:

^nC_r = \frac{n!}{(n - r)!r!}

Where

r = 5

So, we have:

^6C_5 = \frac{6!}{(6 - 5)!5!}

^6C_5 = \frac{6!}{1!5!}

^6C_5 = \frac{6 \times 5!}{1 \times 5!}

^6C_5 = \frac{6}{1}

^6C_5 = 6

Hence, there are 6 ways

<u>(c) All possible sample space of 4</u>

First, we calculate the number of ways to select 4.

This is calculated using:

^nC_r = \frac{n!}{(n - r)!r!}

Where

r = 4

So, we have:

^6C_4 = \frac{6!}{(6 - 4)!4!}

^6C_4 = \frac{6!}{2!4!}

^6C_4 = \frac{6 \times 5 \times 4}{2 \times 1 \times 4!}

^6C_4 = \frac{30}{2}

^6C_4 = 15

So, the table is as follows:

\left[\begin{array}{ccc}TV&Good&Proportion\\1,2,3,4&2&0.5&2,3,4,5&2&0.5&3,4,5,6&2&0.5\\4,5,6,1&3&0.75&5,6,1,2&4&1&6,1,2,3&3&0.75\\1,2,3,5&3&0.75&3,5,6,2&3&0.75&1,3,4,5&2&0.5\\1,3,4,6&2&0.5&1,4,5,2&3&0.75&2,4,6,1&3&0.75\\2,4,6,3&2&0.5&2,4,6,5&3&0.75&3,5,6,1&3&0.75\end{array}\right]

The proportion column is calculated by dividing the number of Good TVs by the total selected (4) i.e.

p = \frac{Good}{n}

<u>(d) The sampling distribution</u>

In (a), we have:

p = 0.67 --- proportion of Good TV

The sampling error is calculated as follows:

SE_n = |p - p_n|

So, we have:

\left[\begin{array}{ccc}TV&Good&SE\\1,2,3,4&2&0.17&2,3,4,5&2&0.17&3,4,5,6&2&0.17\\4,5,6,1&3&0.08&5,6,1,2&4&0.33&6,1,2,3&3&0.08\\1,2,3,5&3&0.08&3,5,6,2&3&0.08&1,3,4,5&2&0.17\\1,3,4,6&2&0.17&1,4,5,2&3&0.08&2,4,6,1&3&0.08\\2,4,6,3&2&0.17&2,4,6,5&3&0.08&3,5,6,1&3&0.08\end{array}\right]

Read more about sampling distributions at:

brainly.com/question/10554762

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FAST!!!!!! BRAINLIEST!!!!!!!!!20 POINTS!!!!!!!!!!!!!!!!!!
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Answer: Prevailing winds actually play an essential role in the Earth's heat distribution by ushering relatively warmer air to higher latitudes, and moving cooler air toward the equator. Prevailing winds tend to primarily blow either from the east or the west, depending on latitude.

7 0
2 years ago
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