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kondaur [170]
3 years ago
8

What is the value of x? A. 4 B. 4√3 C. 8 D. 8√3

Mathematics
1 answer:
Paladinen [302]3 years ago
8 0

The answer is B. I used the trigonometric sine formula

\sin(60)  =  \frac{x}{8 }

\sin(60)  \times 8 = x

x = 6.93

And

4 \sqrt{3}  = 6.93

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A factory employs several thousand workers, of whom 35% are Hispanic. If the 17 members of the union executive committee were ch
Elza [17]

Answer:

as p decreases, sigma decreases.

Step-by-step explanation:

Given that 35%are hispanic. For a sample of 17 members

n = 17

p = 0.35

and the number of Hispanics on the committee would have the binomial distribution

a) Mean of X = E(x) = np = 17(0.35)\\= 5.95

b) Std dev X = \sqrt{npq} =\sqrt{5.95(0.65)} \\=1.9665

c) Here n =17 and p =0.1

Mean = 1.7\\\sigma = \sqrt{17(0.1)(0.9)} =1.234

d) When p = 0.01

Mean = 0.17\\\sigma = 0.410

Thus we find that as p decreases, sigma decreases.

8 0
3 years ago
Write 4 hundred 16 tens 5 ones in standard form
In-s [12.5K]
565 is the correct answer
6 0
3 years ago
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20 points!! Need help with 8
hjlf

the answer is D x= x 5 because it make sense

4 0
3 years ago
A new roller coaster at an amusement park requires individuals to be at least​ 4' 8" ​(56 ​inches) tall to ride. It is estimated
Maksim231197 [3]

Answer:

a) 34.46% of​ 10-year-old boys is tall enough to ride this​ coaster.

b) 78.81% of​ 10-year-old boys is tall enough to ride this​ coaster

c) 44.35% of​ 10-year-old boys is tall enough to ride the coaster in part b but not tall enough to ride the coaster in part​ a

Step-by-step explanation:

When the distribution is normal, we use 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 question, we have that:

\mu = 54, \sigma = 5

a. What proportion of​ 10-year-old boys is tall enough to ride the​ coaster?

This is 1 subtracted by the pvalue of Z when X = 56.

So

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

Z = \frac{56 - 54}{5}

Z = 0.4

Z = 0.4 has a pvalue of 0.6554

1 - 0.6554 = 0.3446

34.46% of​ 10-year-old boys is tall enough to ride this​ coaster.

b. A smaller coaster has a height requirement of 50 inches to ride. What proportion of​ 10-year-old boys is tall enough to ride this​ coaster?

This is 1 subtracted by the pvalue of Z when X = 50.

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

Z = \frac{50 - 54}{5}

Z = -0.8

Z = -0.8 has a pvalue of 0.2119

1 - 0.2119 = 0.7881

78.81% of​ 10-year-old boys is tall enough to ride this​ coaster.

c. What proportion of​ 10-year-old boys is tall enough to ride the coaster in part b but not tall enough to ride the coaster in part​ a?

Between 50 and 56 inches, which is the pvalue of Z when X = 56 subtracted by the pvalue of Z when X = 50.

From a), when X = 56, Z has a pvalue of 0.6554

From b), when X = 50, Z has a pvalue of 0.2119

0.6554 - 0.2119 = 0.4435

44.35% of​ 10-year-old boys is tall enough to ride the coaster in part b but not tall enough to ride the coaster in part​ a

5 0
3 years ago
Adding 8 groups of (-4) is the same as dividing 8 and (-4)​
Scilla [17]

Answer:

No

Step-by-step explanation:

Adding 8 groups of (-4) = -32

Dividing 8 and (-4)​ = -2

-2 doesn't equal -32

hope this helps, pls mark brainliest :D

3 0
3 years ago
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