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Ira Lisetskai [31]
3 years ago
10

A person standing on level ground is 2000 feet away from the foot of a 420-foot-tall building, as shown in the accompanying diag

ram. To the nearest degree, what is the value of X?

Mathematics
1 answer:
antoniya [11.8K]3 years ago
7 0

Answer:

12

Step-by-step explanation:

The formula for the tangent of an angle is the length of the opposite side divided by the length of the adjacent side. Therefore, the tangent of angle x is 420/2000=0.21. Taking the arctangent of that to get the angle, you get about 12 degrees. Hope this helps!

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ANSWER

\frac{2x + 5}{4}

EXPLANATION

We want to simplify

\frac{x + 3}{4} + \frac{x + 2}{4}

The fractions have the same denominator so we write one denominator and add the numerators to obtain,

\frac{x + 3 + x + 2}{4}

Regroup in the denominator to get,

\frac{x + x + 3 + 2}{4}

This simplifies to;

\frac{2x + 5}{4}
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Answer:

The proportion of individuals score at most 74 points on this test is 70%.

Step-by-step explanation:

The complete question is:

Suppose that the scores on a reading ability test are normally distributed with a mean of 70 and a standard deviation of 8. What proportion of individuals score at most 74 points on this test? Round your answer to at least four decimal places.

Solution:

Let <em>X</em> represent the scores on a reading ability test.

It is provided that X\sim N(70,8^{2}).

Compute the probability that an individuals score is at most 74 points on this test as follows:

P(X\leq 74)=P(\frac{X-\mu}{\sigma}\leq \frac{74-70}{8})

                 =P(Z

Thus, the proportion of individuals score at most 74 points on this test is 70%.

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C

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