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3 years ago

Select the expression that is equivalent to (x + 5)2.

Mathematics

1 answer:

vazorg [7]3 years ago

8 0

(x + 5)² = (x+ 5)(x + 5) = x² + 5x + 5x + 25 = x² + 10x + 25 (Answer A)

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What is 792/336 in simplist form

Kipish [7]

If you divide first by 8 it gets 99/42

but you can divide again by 3

33/14

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3 years ago

Read 2 more answers

In a large company, the proportion of employees who were promoted during the last year was 0.10. If 100

Natasha2012 [34]

Answer:

0.0475

Step-by-step explanation:

We use the binomial approximation to the normal to solve this question.

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 distributions 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 a large company, the proportion of employees who were promoted during the last year was 0.10.

This means that $p = 0.1$

100 employees

This means that $n = 100$

Mean and standard deviation:

$\mu = E(X) = np = 100*0.1 = 10$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100*0.1*0.9} = 3$

What is the probability that at least 15 of them were promoted during the last year?

This is $P(X \geq 15)$ , which is 1 subtracted by the pvalue of Z when X = 15. So

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

$Z = \frac{15 - 10}{3}$

$Z = 1.67$

$Z = 1.67$ has a pvalue of 0.9525

1 - 0.9525 = 0.0475.

0.0475 is the answer.

6 0

3 years ago

Terrance trains at a rate of 6 miles every half hour and Jesse trains at a rate of 2 miles every 15 minutes

Harman [31]

Terrance is training at 12 miles per hour and Jesse is training at 8 miles per hour

3 0

4 years ago

Zoey is 346 meters below sea level while visiting a part of Israel. She descends 71 meters to visit the Dead Sea. Which integer

ZanzabumX [31]

Thanks but you have to at the negative sign so it should look like this -275 not just 275 and 275 without the negative integer is not even a answer so the correct answer is -275

4 0

4 years ago

Will give brainllest to how gives it right !

dsp73

Answer:

1. 1344

2. 25

Step-by-step explanation:

1. 168 x 8=1344

2. 200/8=25

6 0

3 years ago