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Alenkasestr [34]
3 years ago
13

Type the correct answer in each box. Use numerals instead of words. If necessary, use/ for the fraction bar(s).Find the inverse

of the given function.

Mathematics
2 answers:
artcher [175]3 years ago
8 0

Answer:

5,7,8

Step-by-step explanation:

Idk I’m not sure lemme know

Soloha48 [4]3 years ago
7 0

Answer:

First Blank: -7

Second Blank: 1

Third Blank: 5

Fourth Blank: -5

Step-by-step explanation:

You might be interested in
Solve:<br> -2/3 a - 6 = 12 <br> what is a
Hitman42 [59]

Answer:

a = - 27

Step-by-step explanation:

- \frac{2}{3} a - 6 = 12 ( add 6 to both sides )

- \frac{2}{3} a = 18 ( multiply both sides by 3 to clear the fraction )

- 2a = 54 ( divide both sides by - 2 )

a = - 27

8 0
2 years ago
The scores of students on the ACT college entrance exam in a recent year had the normal distribution with mean  =18.6 and stand
Maurinko [17]

Answer:

a) 33% probability that a single student randomly chosen from all those taking the test scores 21 or higher.

b) 0.39% probability that the mean score for 76 students randomly selected from all who took the test nationally is 20.4 or higher

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 normally distributed samples are 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.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 18.6, \sigma = 5.9

a) What is the probability that a single student randomly chosen from all those taking the test scores 21 or higher?

This is 1 subtracted by the pvalue of Z when X = 21. So

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

Z = \frac{21 - 18.6}{5.4}

Z = 0.44

Z = 0.44 has a pvalue of 0.67

1 - 0.67 = 0.33

33% probability that a single student randomly chosen from all those taking the test scores 21 or higher.

b) The average score of the 76 students at Northside High who took the test was x =20.4. What is the probability that the mean score for 76 students randomly selected from all who took the test nationally is 20.4 or higher?

Now we have n = 76, s = \frac{5.9}{\sqrt{76}} = 0.6768

This probability is 1 subtracted by the pvalue of Z when X = 20.4. So

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

By the Central Limit Theorem

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

Z = \frac{20.4 - 18.6}{0.6768}

Z = 2.66

Z = 2.66 has a pvalue of 0.9961

1 - 0.9961 = 0.0039

0.39% probability that the mean score for 76 students randomly selected from all who took the test nationally is 20.4 or higher

4 0
3 years ago
Which values from the given replacement set make up the solution set of the inequality? m+7&lt;18 ; {8, 9, 10, 11}
Sever21 [200]

Answer: 8, 9, and 10

Step-by-step explanation: whatever value m is must be less than 18

3 0
2 years ago
Read 2 more answers
The graph of a linear equation has a slope of -2 and passes through the point (-4,3) what is the equation of the line
valentinak56 [21]

Answer:

I need points

Step-by-step explanation:

nononon

3 0
3 years ago
Angle B = ?<br> Need help.
zaharov [31]

Answer:

angle B = 33.42

Step-by-step explanation:

take angle B as reference angle

using tan rule

tan B = opposite/adjacent

tan B = 6/9

tan B = 0.66

B = tan^{-1} (0.66)

B = 33.424

B = 33.42

5 0
3 years ago
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