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Annette
3 days ago
5

A cube with a side length of 1008 units is dropped and completely submerged in a cube-shaped container. If the water level in th

e cube-shaped container rises 252 units. Find the length of a side of the cube-shaped container.
Mathematics
1 answer:
AnnZ [9K]3 days ago
5 0
The cube-shaped container has a side length of 2,016 units.
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Decimal 0.003 is 1/10 of
zzz [9080]
To determine the result of multiplying 0.003 by 10, you will simply multiply as such. A straightforward method is to shift the decimal point one place to the right (it would shift two places for multiplying by 100, and three for 1000, etc.). The same rule applies when dividing; just ensure to move left instead.

Hence, the result is 0.03.

<span>I hope that was helpful!!!</span>
6 0
1 month ago
A politician wants to estimate the proportion of constituents favoring a controversial piece of proposed legislation. suppose th
babunello [8412]

Answer:

We have the following details:

Confidence level = 99%. Hence, the critical value at a 0.01 significance level is provided below:

z_{\frac{0.01}{2}}=2.576

The margin of error is mentioned in the question as:

E=0.05

Since we lack information about the previous proportion, we need to assume \hat{p} = 0.5.

Therefore, the required sample size is:

n=\hat{p}(1-\hat{p}) \left( \frac{z_{\frac{0.01}{2}} }{E} \right)

  =0.5(1-0.5) \left( \frac{2.576}{0.05} \right)

  =0.25 \times 51.52^2

  =663.6 \approx 664

Thus, it requires 664 sample observations.    

4 0
21 day ago
Heights of adult males are known to have a normal distribution. a researcher claims to have randomly selected adult males and me
Leona [9271]

Answer:

The total probability exceeds 100%, indicating a problem with the findings; moreover, the distribution shows excessive uniformity which disqualifies it as a normal distribution.

Detailed explanation:

The sum of probabilities should be exactly 100%. When you add the probabilities of this distribution:

22+24+21+26+28 = 46+21+26+28 = 67+26+28 = 93+28 = 121

This exceeds 100%, highlighting a significant error in the results.

A typical normal distribution possesses a bell curve. If we plot the probabilities for this distribution, we'd see bars at 22, 24, 21, 26, and 28.

The bars would fail to form a bell-shaped curve, confirming that this is not a normal distribution.

3 0
29 days ago
Read 2 more answers
A college has an acceptance rate of 17%. If 3,240 students apply, about
AnnZ [9099]

Answer:

550

Step-by-step explanation:

We know that 17% of the applicants (3,240) will receive acceptance.

0.17 * 3,240 = 550.8

Thus, 550 students will gain acceptance

we must round down since only 17% can be accepted, and having 0.8 of a person is not feasible

hope this helps

6 0
13 days ago
Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and poin
babunello [8412]

Answer:

(a)

The distance from A to B to C equals 40 yards.

(b)

w is less than 40.

Step-by-step explanation:

The information provided states:

The distance from A to B is 15 yards.

Thus, AB is 15 yards.

The distance from B to C is 25 yards.

Therefore, BC is 25 yards.

(a)

The total distance from A to B to C is given by AB plus BC.

A to B to C = 15 + 25.

The total distance is 40 yards.

(b)

The direct distance from A to C (AC) must be shorter than the length of A to B to C.

AC is less than AB plus BC.

AC must be less than 15 + 25.

Thus, AC is less than 40 yards.

w is less than 40.


8 2
1 month ago
Read 2 more answers
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