Put the given function into vertex form. Fill in the blanks to complete the function below.

Mathematics

1 answer:

vovangra [49]3 years ago

6 0

I’m sorry if this isn’t much help but i think it’s: Y=(x+3)2−22

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Please help I do not know how to do this

stepan [7]

Answer:

∠ b = 23°

Step-by-step explanation:

Complementary angles sum to 90° , then

a + b = 90° , that is

67° + b = 90° ( subtract 67° from both sides )

∠ b = 23°

3 0

3 years ago

Read 2 more answers

Annual starting salaries in a certain region of the U. S. for college graduates with an engineering major are normally distribut

defon

Answer:

0.8665 = 86.65% probability that the sample mean would be at least $39000

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .