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vampirchik [111]
3 years ago
13

Select the correct answer.

Mathematics
1 answer:
Veronika [31]3 years ago
4 0

Answer:

B

Step-by-step explanation:

let y = 5x - 3

rearrange making x the subject

add 3 to both sides

5x = y + 3 ( divide both sides by 5 )

x = \frac{y+3}{5}

change y back into terms of x, hence

f^{-1}(x) = \frac{x+3}{5} → B


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PLEASE I NEED THIS NOW 50 POINTS
4vir4ik [10]
25g = r , i think.

I would give an explanation but you seem in a hurry! Have a good day and good luck!
6 0
3 years ago
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}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean $39725 and standard deviation $7320.

This means that \mu = 39725, \sigma = 7320

Sample of 125:

This means that n = 125, s = \frac{7320}{\sqrt{125}} = 654.72

The probability that the sample mean would be at least $39000 is about?

This is 1 subtracted by the pvalue of Z when X = 39000. So

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

By the Central Limit Theorem

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

Z = \frac{39000 - 39725}{654.72}

Z = -1.11

Z = -1.11 has a pvalue of 0.1335

1 - 0.1335 = 0.8665

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

4 0
2 years ago
I have the first part but I don't know how to do the second part<br><br> h e l p
Debora [2.8K]

\bf \begin{array}{cll} \stackrel{ordinal}{position}&\stackrel{term}{value}\\ \cline{1-2} 1&12\\ 2&12+d\\ 3&12+d+d\\ 4&12+d+d+d\\ &12+3d \end{array}\qquad \implies ~\hfill \begin{array}{llll} \stackrel{\textit{4th term}}{12+3d}~~=~~\stackrel{\textit{4th value}}{3}\\\\ 3d=-9\implies d = \cfrac{-9}{3}\\\\ \stackrel{\textit{common difference}}{d = -3} \end{array}

well, we know the common difference is -3, to go from the 4th term to the 8th term, we need to add "d" 4 times or namely 3+4(-3), likewise to go from the 13th term to the 19th term we have to add "d" 6 times, or namely -24 + 6(-3).

\bf \stackrel{\textit{8th term}}{3+4(-3)}\implies 3-12\implies -9 \\\\\\ \stackrel{\textit{19th term}}{-24 + 6(-3)}\implies -24-18\implies -42

3 0
2 years ago
I need help with this<br>​
Mashutka [201]

Answer: D

Step-by-step explanation:

<u><em>When a coordinate is reflected over the y-axis, it changes from (x, y) to (-x, y)</em></u>

<em>The three coordinates of ΔCDE are</em>

  • C = (-8, -1)
  • D = (-6, -5)
  • E = (-2, -4)

<em>After the y-axis reflection, they'll become:</em>

  • C' = (-(-8), -1) = (8, -1)
  • D' = (-(-6), -5) = (6, -5)
  • E' = (-(-2), -4) = (2, -4)

<em>I hope this is correct :\</em>

3 0
2 years ago
Write a rule for the linear function in the table.
mojhsa [17]

Answer: BRAINLY

f(x)=x-4 is the answer i believe

Answer :

The function is  

Step-by-step explanation:

Given values in table :

x        f(x)

3         -1

4          0

5          1

6          2

Here we see there is a difference of 4 in the values of x and f(x)

i.e. 3-(-1)=4

or 4-0=4

Similarly 5-1=4

6-2=4

So x-F(x)=4

Adding F(x) -4 both sides

x-F(x) +F(x) -4=4+F(x) -4

We have F(x)= x-4

Step-by-step explanation:

i cant find the answer

8 0
2 years ago
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