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kherson [118]
3 years ago
10

One in five 18-year-old Americans has not graduated from high school (The Wall Street Journal, April 19, 2007). A mayor of a nor

theastern city comments that its residents do not have the same graduation rate as the rest of the country. An analyst from the Department of Education decides to test the mayor's claim. She draws a random sample of 80 18-year-olds in the city and finds that 20 of them have not graduated from high school. Compute the point estimate for the proportion of 18-year-olds who have not graduated from high school in this city. (Round your final answer to 2 decimal places.)
Mathematics
1 answer:
daser333 [38]3 years ago
3 0

Answer:

The point estimate for the proportion of 18-year-olds who have not graduated from high school in this city is 0.25.

Step-by-step explanation:

The point estimate is the sample proportion.

She draws a random sample of 80 18-year-olds in the city and finds that 20 of them have not graduated from high school.

This means that:

p = \frac{20}{80} = 0.25

The point estimate for the proportion of 18-year-olds who have not graduated from high school in this city is 0.25.

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Answer:

  69.01 m

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you ...

  Tan = Opposite/Adjacent

The tangent function is useful for problems like this. Let the height of the spire be represented by h. The distance (d) across the plaza from the first surveyor satisfies the relation ...

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Rearranging to solve for d, we have ...

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The distance across the plaza from the second surveyor satisfies the relation ...

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Rearranging this, we have ...

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Equating these expressions for d, we can solve for h.

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We can divide by the coefficient of h and simplify to get ...

  h = (101.65·tan(50°) +1.65·tan(30°))/(tan(30°) +tan(50°))

  h ≈ 69.0148 ≈ 69.01 . . . . meters

The tip of the spire is 69.01 m above the plaza.

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Total distance = 3j + 3m + 21

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