Need this answered quick

aleksandrvk [35]

Answer:

16 feet

Step-by-step explanation:

This ladder and building creates a right triangle with 34 as the hypotenuse and 30 as a side. the Pythagorean theorem says that a^2 + b^2 = c^2 so 900 + b^2 = 1156. b^2 = 256, square root both sides and you get b = 16

7 0

2 years ago

Read 2 more answers

I need help with this assignment. This is the last one for the year so I can get my geometry credit! Thank you to anyone who cho

kirill [66]

Answer:

i can help u just give me the work

Step-by-step explanation:

5 0

2 years ago

Consider the probability that greater than 94 out of 153 people will not get the flu this winter. Assume the probability that a

Hatshy [7]

Answer:

0.8212 = 82.12% probability that greater than 94 out of 153 people will not get the flu this winter.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

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.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In this problem, we have that:

$p = 0.65, n = 153$ . So

$\mu = E(X) = 153*0.65 = 99.45$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{153*0.65*0.35} = 5.9$

Consider the probability that greater than 94 out of 153 people will not get the flu this winter

This probability is 1 subtracted by the pvalue of Z when X = 94. So

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

$Z = \frac{94 - 99.45}{5.9}$

$Z = -0.92$

$Z = -0.92$ has a pvalue of 0.1788

1 - 0.1788 = 0.8212

0.8212 = 82.12% probability that greater than 94 out of 153 people will not get the flu this winter.

7 0

3 years ago

For example, if it takes 15 hours to travel 900 miles. How many miles will you travel in one hour?

dalvyx [7]

Answer:

60 miles

Step-by-step explanation:

If it takes 15 hours to travel 900 miles then it gives you the fraction 15/900 where the numerator(top number) is 15 and denominator(bottom number) is 900.

Then to simplify it: since 15 is a common factor of itself(15) and 900, 15/15 = 1(1 hour) and 900/15 = 60(60 miles).

8 0

2 years ago

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Kamal spent 40% of his income. He

Arte-miy333 [17]

Answer:

Step-by-step explanation:

Percentages

It's given Kamal spent 40% of his income. With the remaining 60%, he deposited Rs. 400 in a bank and still has Rs. 500 left.

This means Rs. 400 + Rs. 500= Rs. 900 is 60% if his income.

The 100% of his income is calculated as a percent proportion:

If 60% is Rs. 900, then 100% is:

$\displaystyle \frac{900}{60}*100=1500$

Thus, Kamal's income is Rs. 1500. Correct choice: (c) Rs. 1500

5 0

2 years ago