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2 years ago

Please someone help!!!!

Mathematics

1 answer:

ira [324]2 years ago

6 0

Answer:

165.8 ft (nearest tenth)

Step-by-step explanation:

We can use the tan trig ratio to calculate the height of the tower.

$\sf tan(\theta)=\dfrac{O}{A}$

where:

$\theta$ = the angle
O = the side opposite the angle
A = the side adjacent the angle

From inspection of the diagram:

$\theta$ = 37°

O = height of tower (let's call this h)
A = 220 ft

Substituting these values into the trig tan ratio:

$\sf \implies tan(37)=\dfrac{h}{220}$

Multiply both sides by 220:

$\sf \implies 220tan(37)=h$

$\sf \implies h=220tan(37)$

$\sf \implies h=165.781891$

Therefore, the height of the tower is 165.8 ft (nearest tenth)

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Step-by-step explanation:

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2 years ago

Assuming that the heights of college women are normally distributed with mean 64 inches and standard deviation 1.5 inches, what

professor190 [17]

Answer:

15.74% of women are between 65.5 inches and 68.5 inches.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 64, \sigma = 1.5$

What percentage of women are between 65.5 inches and 68.5 inches?

This percentage is the pvalue of Z when X = 68.5 subtracted by the pvalue of Z when X = 65.5.

X = 68.5

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{68.5 - 64}{1.5}$

$Z = 3$

$Z = 3$ has a pvalue of 0.9987

X = 65.5

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{65.5 - 64}{1.5}$

$Z = 1$

$Z = 1$ has a pvalue of 0.8413

So 0.9987 - 0.8413 = 0.1574 = 15.74% of women are between 65.5 inches and 68.5 inches.

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3 years ago

The result of dividing 107 by 10^-3 is?10-4. 102.5. 1010. 104.

lora16 [44]

The result of diving 107 by 10⁻³ is (E) 107,000.

<h3>What do we mean by division?</h3>

The division is one of the four basic operations of arithmetic, which are the methods by which numbers are combined to form new numbers.
Addition, subtraction, and multiplication are the other operations.
At the most basic level, the division of two natural numbers is the process of calculating the number of times one number is contained within another.
For example, if 20 apples are distributed evenly among four people, each receives five apples (see picture).

So, we know that 10⁻³ is 0.001.

Now, 107/0.001 = 107,000.

Therefore, the result of diving 107 by 10⁻³ is (E) 107,000.

Know more about division here:

brainly.com/question/25289437

#SPJ4

The correct question is given below:

The result of dividing 107 by 10^-3 is?

a. 10-4.

b. 102.5.

c. 1010.

d. 104.

e. 107,000

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1 year ago

Leyla drops a penny from a height of 150m. How long will it take to hit the ground? Round to the nearest tenth of a second. use

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A graphing calculator shows it will take about 5.5 seconds.

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2 years ago

When the smaller of two fractions is divided by the larger, the result is 7/9. Of the smaller is 8/3, find the larger.

raketka [301]

Answer:

Larger fraction = 24/7

Step-by-step explanation:

Given that:

Smaller fraction = 8/3

Larger fraction = ?

Let the larger fraction is x/y then according to the statement:

8/3 / x/y = 7/9

Rule: When there is a fraction in the denominator of a fraction, the lower fraction is reversed and multiplied with the upper one.

So, according to rule:

8/3 * y/x = 7/9

8y/ 3x = 7/9

Now multiplying both sides by 3/8 we get

8y/ 3x * 3/8 = 7/9 *3/8

After cancellation:

y/x = 21/ 72

By reducing it to lowest form (dividing both by 3)

We ge:

y / x = 7/ 24

This means y= 7

x = 24

So the larger fraction will become: x/y =24/7

Proof:

Smaller fraction / Larger fraction = 7/9

8/3 / 24/7 = 7/9

Applying Rule:

8/3 * 7/24 = 7/9

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Reducing it to lowest fraction: (dividing both by 8)

7/9 = 7/9

Hence proved

I hope it will help you!

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3 years ago