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Katen [24]
3 years ago
8

A triangular pyramid has a base with an area of 21.8 square meters and lateral faces with bases of 7.1 meters and heights of 13

meters enter an expression that can be used to the surface area of the triangular pyramid?
Mathematics
1 answer:
Dafna11 [192]3 years ago
4 0

Answer:

  21.8 + (3/2)(7.1)(13)

Step-by-step explanation:

The surface area (SA) is the sum of the base area (B) and lateral area (LA). The lateral area is the sum of the areas of the three face triangles.

  SA = B + LA

  LA = 3((1/2)bh)) . . . . b is the base length of the triangle, and h is its height

Using appropriate substitutions, we have ...

  SA = 21.8 + (3/2)(7.1)(13)

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Answer:

a) 96% CI: 0.51\leq\pi\leq 0.63

b) If we estimate that the fraction of voters is 0.57, we can claim with 96% confidence that the error is equal or less than 0.06 from the estimated proportion.

Step-by-step explanation:

The proportion of the sample is

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The standard deviation of the sample proportion is

\sigma=\sqrt{\frac{p(1-p)}{n} } =\sqrt{\frac{0.57(1-0.57)}{200} } =\sqrt{\frac{0.2451}{200} } =0.035

For a 96% CI, the z-value is z=1.751.

Then, the 96% CI can be written as:

p-z\cdot \sigma\leq\pi\leq p+z\cdot \sigma\\\\0.57-1.751*0.035\leq\pi\leq 0.57+1.751*0.035\\\\0.57-0.06\leq\pi\leq 0.57+0.06\\\\0.51\leq\pi\leq 0.63

b) If we estimate that the fraction of voters is 0.57, we can claim with 96% confidence that the error is equal or less than 0.06 from the estimated proportion.

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