Which set of ordered pairs is a function?

A pilot approaching a 3000-meter runway finds that the angles of depression of the ends of the runway are 14° and 20°. How far i

Amanda [17]

Answer: The plane is 6,547 feet from the closer edge of the runway.

This is a trigonometry problem that will involve setting up 2 different triangles. One going to the closer edge of the runway and the other going to the far end of the runway.

The constant between the 2 triangles is the height of the plane. You can solve for this is both triangles and set them equal to each other.

Do that will give you the equation:

x/tan(70) = (x+3000)/tan(76) where x is the distance to the closer end of the runway.

If you solve that equation, you will get x = 6547 feet.

7 0

3 years ago

Here are the test scores for 15 students in Mr. M's class.

jekas [21]

60%. You count how many total (15) and then how many got below a 90 (9) and then divide 9 by 15.

6 0

2 years ago

rename 1/2 and 2/3 as fractions with denominators of 6.then add the renamed fractions. write the sum as a mixed number.

monitta

Answer:

1 and 1/6

Step-by-step explanation:

To rename a fraction you multiply both numbers by however many times the original denominator goes into the new one.

2 goes into 6 three times.

1 times 3 is 3

and 2 times 3 is 6

so 1/2=3/6

3 goes into 6 twice

2 times 2 is 4

and 2 times 3 is 6

so 2/3=4/6

to add fractions you add the numerators while keeping the denominators the same.

3+4=7 so:

3/6+4/6=7/6

6/6=1

so 7/6 contains 1 whole

once you take that out you have 1/6 left over

4 0

3 years ago

According to the U.S. Bureau of the Census, the average age of brides marrying for the first time is 23.9 years with a populatio

JulsSmile [24]

Answer:

We conclude that young women are delaying marriage and marrying at a later age.

Step-by-step explanation:

We are given that the average age of brides marrying for the first time is 23.9 years with a population standard deviation of 4.2 years.

The sociologist randomly samples 100 marriage records and determines the average age of the first time brides is 24.9 years.

Let $\mu$ = average age of brides marrying for the first time.

So, Null Hypothesis, $H_0$ : $\mu$ = 23.9 years {means that young women are not delaying marriage and marrying at a later age}

Alternate Hypothesis, $H_A$ : $\mu$ > 23.9 years {means that young women are delaying marriage and marrying at a later age}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample average age of the first time brides = 24.9 years

$\sigma$ = population standard deviation = 4.2 years

n = sample of marriage records = 100

So, the test statistics = $\frac{24.9-23.9}{\frac{4.2}{\sqrt{100} } }$

= 2.381

The value of z test statistics is 2.381.

Now, at 1% significance level the z table gives critical value of and 2.326 for right-tailed test.

Since our test statistic is more than the critical value of z as 2.381 > 2.326, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that young women are delaying marriage and marrying at a later age.

5 0

2 years ago

A company is creating a box without a top from a piece of cardboard, but cutting out square corners with side length x.

Svetlanka [38]

Answer:

(15−2x)(22−2x)x

3 0

3 years ago

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