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ivann1987 [24]
3 years ago
7

How can a triangular prism have a greater volume than a rectangular prism?

Mathematics
2 answers:
statuscvo [17]3 years ago
8 0
The volume of a triangular prism is less than a rectangular prism with the same size base. A painter would need to know the surface area hope it helps
nevsk [136]3 years ago
4 0

Answer:

If the triangular prism is bigger than the rectangular prism, it will have a greater volume. There are also many other reasons listed below:

Possible reasons:

  • If the triangular prism is bigger than the rectangular prism, it will have a greater volume
  • The rectangular prism could have less width than the triangular prism
  • The rectangular prism could have less depth than the triangular prism
  • The rectangular prism could have less length than the triangular prism

<em>Please mark Brainliest if correct.</em>

<em>Sorry if it is not correct.</em>

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The mayor asks you to determine whether or not most people (over 50%) support a tax on large soft drinks. You poll 500 adults wi
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Answer:

(1) The standard error is 0.0224.

(2) The error term is 0.058.

(3) The 99% confidence interval for the proportion of adults supporting the soft drink tax is (0.45, 0.57).

(4) Approximately 45% to 57% people support the soft drink tax.

Step-by-step explanation:

Let <em>X</em> = number of adults who support the soft drink tax.

The sample size is, <em>n</em> = 500.

The number of people who support the tax is, <em>X</em> = 255.

Compute the sample proportion as follows:

\hat p=\frac{X}{n}=\frac{255}{500}= 0.51

(1)

Compute the standard error as follows:

SE_{\hat p}=\sqrt{\frac{\hat p(1-\hat p)}{n}} \\=\sqrt{\frac{0.51(1-0.51)}{500}}\\=0.0224

Thus, the standard error is 0.0224.

(2)

The error term (Margin of error) is:

MOE=z_{\alpha/2}\times SE_{\hat p}

For 99% confidence interval the critical value of <em>z</em> is:

z_{\alpha/2}=z_{0.01/2}=z_{0.005}=2.58

Compute the value of MOE as follows:

MOE=z_{\alpha/2}\times SE_{\hat p}\\=2.58\times0.0224\\=0.057792\\\approx0.058

Thus, the error term is 0.058.

(3)

Compute the 99% confidence interval as follows:

CI=\hat p\pm MOE\\=0.51\pm0.058\\=(0.452, 0.568)\\\approx(0.45, 0.57)

Thus, the 99% confidence interval for the proportion of adults supporting the soft drink tax is (0.45, 0.57).

(4)

The report to be submitted to the mayor is that approximately 45% to 57% people support the soft drink tax.

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Answer:

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