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Nana76 [90]
3 years ago
13

Sid has a water dispenser in his refrigerator as shown in the figure.

Mathematics
2 answers:
Juliette [100K]3 years ago
6 0
Given that the dispensers are rectangular then the volume of each will be 
Volume = L * W * H
Volume = 4 * 8 * 14 = 448 cu. in

volume * 3 = 1344 cu. in
brilliants [131]3 years ago
3 0
The total space the water dispenser will take is equal to their volume.

Volume of one water dispenser = Length x Width x Height

So,

Volume = 4 x 8 x 14 = 448 in³

This is the volume on 1 dispenser. The volume of 3 dispensers will be = 3 x 448 = 1344 in³

This means, the 3 water dispensers will take 1344 cubic inches of space in Sid's refrigerator. So the correct answer is Fourth option
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12. (2v^3 - v + 8) + (-v^3 + v - 3)<br><br> 14. (4h^3 + 3h + 1) - (-5h^3 + 6h - 2)
Lana71 [14]
12. On addition, you can just combine like terms.
2v^3+(-v^3)=v^3
-v+v cancels each other out
8+(-3)=5
So you have v^3+5

14 On subtraction, you have to remember to distribute the negative sign so after you do that you have:
4h^3+3h+1+5h^3-6h+2
Then you can combine like terms
4h^3+5h^3=9h^3
3h-6h=-3h
1+2=3
So you end up with:
9h^3-3h+3

Hope that helps and feel free to ask any questions.
7 0
3 years ago
What is 22/28 in simplest form
sveticcg [70]
The answer would be 11/14
6 0
3 years ago
Read 2 more answers
There are 2,000 eligible voters in a precinct. A total of 500 voters are randomly selected and asked whether they plan to vote f
Ann [662]

Answer:

0.7 - 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.647

0.7 + 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.753

And the 99% confidence interval would be given (0.647;0.753).

So the correct answer would be:

a. 0.647 and 0.753

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Solution to the problem

The estimated population proportion for this case is:

\hat p = \frac{350}{500}=0.7

The confidence interval would be given by this formula

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

For the 99% confidence interval the value of \alpha=1-0.99=0.01 and \alpha/2=0.005, with that value we can find the quantile required for the interval in the normal standard distribution.

z_{\alpha/2}=2.58

And replacing into the confidence interval formula we got:

0.7 - 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.647

0.7 + 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.753

And the 99% confidence interval would be given (0.647;0.753).

So the correct answer would be:

a. 0.647 and 0.753

7 0
3 years ago
What is the value of 2x4 + 5x when x=6?
wlad13 [49]
This would be 2(6)^4 + 5*6

=  2592 + 30

= 2622 Answer
5 0
3 years ago
What is the value of y in the figure below? (Picture provided)
Sphinxa [80]
Since it is a 30, 60, 90 triangle theN y would be 7.
30 degrees= x
60 degrees= x root 3
90 degrees= 2x
In this case since you know 90 degrees is 14 then you would have to find c which is 7 when you divide it by 2
4 0
3 years ago
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