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Alisiya [41]
4 years ago
12

There ate 38 cube houses. Each house could hold 1,000 unit cubes that are 1 meter by 1meter by 1meter.Describe the dimensions of

a cube house using unit cubes. Remember that the edges of a cube are all the same lenght

Mathematics
1 answer:
Ivan4 years ago
3 0
We know that V = a^3 and that it's 1000 cubic meters (or unit cubes as long as one unit cube is 1x1x1m). We can write the calculation as attached below. The result (dimensions of one cube house) is 10x10x10 meters.

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What are the missing reasons in the two-column proof?
Nesterboy [21]

Reasons:

1. Because, MO cuts Angle PMN in two equal parts.

2.As ∠PMN is cut in to equal parts thus:

∠PMN = ∠NMO + ∠PMO, where these two parts (∠NMO, ∠PMO) are equal.

3. Both are the same, common you can say..

4. Because, MO cuts Angle PON in two equal parts.

5. As ∠PON is cut in to equal parts thus:

∠PON = ∠NOM + ∠POM, where these two parts (∠NOM , ∠POM) are equal.

6. From the above statements, we have:

= ∠NMO + ∠PMO (Proved)

= ∠NOM + ∠POM (Proved)

= MO = MO (Proved)

Thus, ∆PMO ≅ ∆NMO, by AAS rule

________________________________

As simpoool as that!

5 0
3 years ago
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Answer: (0.164,\ 0.276)

Step-by-step explanation:

The confidence interval of population proportion is given by :-

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

Given : Sample size : n=150

The proportion of individuals lease a car :hat{p}=\dfrac{33}{150}=0.22

Significance level : \alpha: 1-0.9=0.1

Critical value : z_{\alpha/2}=1.645

Then, the confidence interval of population proportion is given by :-

0.22\pm (1.645)\sqrt{\dfrac{0.22(1-0.22)}{150}}\\\\\approx0.22\pm0.056=(0.164,\ 0.276)

Hence, the confidence interval for the population proportion with a 90% confidence level= (0.164,\ 0.276)

5 0
3 years ago
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