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garri49 [273]
2 years ago
11

Liam buys three identical plastic

Mathematics
1 answer:
liq [111]2 years ago
7 0

The number of rectangular prism container that would be set on the shelf is: 4.

<h3>What is the Volume of a Rectangular Prism?</h3>

Volume of rectangular prism = length × width ×height

Given the following:

  • Volume of three containers = 135 in.³
  • Volume of each rectangular prism container = 135/3 = 45 in.³
  • One face = width × height = 4.5 × 2 = 9 in.

Find the length of one rectangular prism using the volume formula since volume for one prism = 45 in.³

45 = length × 9

length = 5 in.

Each rectangular prism container is 5 in. long, therefore, the number of the containers that can be set on the shelf that is 24 in. long, if the 4.5 in by 2 in. face touches each other = 24/5 = 4.8.

The fifth container won't fit in. Therefore, the number of rectangular prism container that would be set on the shelf is: 4.

Learn more about rectangular prism on:

brainly.com/question/1015291

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Answer:

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Step-by-step explanation:

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2 years ago
Find the least common multiple of 4,10,12
nata0808 [166]
The LCM of 4,10 and 12 is 60.
7 0
3 years ago
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In a Harris poll of 514 human resource professionals, 90% said that the appearance of a job applicant is most important for a go
jolli1 [7]

Answer:

( a ) 463 " human resource professionals " believe that the appearance of a job applicant is most important for a good first impression

( b )  Percent wise the confidence interval should be from about 86.6% to 93.4%

Step-by-step explanation:

I believe these first two parts here is sufficient enough to get you started!

" In a Harris poll of 514 human resource professionals, 90% said that the appearance of a job applicant is most important for a good first impression. Part A: Among the 514 human resource professionals who were surveyed, how many of them said that the appearance of a job applicant is most important for a good first impression?

Part B: Construct a 99% confidence interval estimate of the proportion of all human resource professionals believing that the appearance of a job applicant is most important for a good first impression. "

_____

( a ) We are given that n = 514, and p = 90%. The number of human resource professionals that said that the appearance of a job applicant is most important for a good first impression, should be the following -

514 x \frac{90}{100}

= \frac{46260}{100}

= 462.6

As the count of people can't be expressed as a fraction, the solution should be about 463 " human resource professionals. "

_____

( b ) Here the confidence level is 0.99 percent. Knowing that -

1 - ∝ = 0.99,

∝ = 1 - 0.99... = 0.01

Therefore, a 99% confidence interval estimate of the proportion of all human resource professionals believing that the appearance of a job applicant is most important for a good first impression should be calculated as directed in the attachment. By that the interval ranges as such -

0.8659 < p < 0.9341

And percent wise the confidence interval should be from about 86.6% to 93.4%

8 0
3 years ago
Which functions have removable discontinuities (holes)? Check all of the boxes that apply.
Naya [18.7K]

Answer:

a b d

Step-by-step explanation:

4 0
3 years ago
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The sum of the number is 103.the second number is 4 times the third.the third number is 5 more then the first .what are the numb
Zigmanuir [339]

Answer:

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Step-by-step explanation:

let x-5 represent the first number, since the first number is 5 less than the third number. let x represent the third number. let 4x represent the third number, since it's four times greater than the third number.

set up an equation, and make it equal to 103:

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solve:

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so, the third number is 18.

the first number is equal to x-5, so:

18-5=13

the second number is equal to 4x, so:

4(18)=72

so, the three numbers are 13, 18, and 72.

4 0
2 years ago
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