The human resources manager at a company records the length in hours, of one shift at work, X. He creates the probabity

Find f(x) if it is known that f(2a−1)=7a−13.

sattari [20]

Answer:

$f(x)=3.5x-9.5$

Step-by-step explanation:

Given:

The given function in terms of 'a' is given as:

$f(2a-1)=7a-13$

In order to determine $f(x)$ , we need to make $2a-1$ equal to 'x' and find the value of 'a'. Therefore,

$2a-1=x\\2a=x+1\\a=\frac{x+1}{2}$

Now, plug in the value of 'a' on both sides, we get:

$f(2\frac{x+1}{2}-1)=7\frac{(x+1)}{2}-13\\f(x+1-1)=3.5(x+1)-13\\f(x)=3.5x+3.5-13\\f(x)=3.5x-9.5$

Therefore, the expression for the function in terms of 'x' is:

$f(x)=3.5x-9.5$

6 0

2 years ago

Sara owns an exotic pet store. She wants to make sure she has more than a pound of food for every 15 lizards she has in the stor

RSB [31]

Answer:

Which inequality can be used to solve the problem?

A : x/15 < 4.25

Solve the inequality. How can you interpret the solution?

C : She can have a maximum of 63 lizards in the store.

Step-by-step explanation:

Edgen answer.

Multiplication and Division Inequalities Assignment

Writing, Solving, and Interpreting an Inequality

6 0

2 years ago

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an ellipse has a center at the origin, a vertex along the major axis at (13, 0), and a focus at (12, 0). What is the equation of

yan [13]

Hi, as the elipce has a center at the origion and tha major distance is the axis

$\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$

But,

c = 12 Distance of focus

a = 13 -> Major distance

b = ? ->

But,

$\\ b^2 + c^2 = a^2
 \\ 
 \\ b^2 + 12^2 = 13^2
 \\ 
 \\ b^2 + 144 = 169
 \\ 
 \\ b^2 = 169 - 144
 \\ 
 \\ b^2 = 25
 \\ 
 \\ b = \sqrt{5} 
 \\ 
 \\ b = 5

$

Then,

$\\ \frac{x^2}{(13)^2} + \frac{y^2}{(5)^2} = 1
 \\ 
 \\ or
 \\ 
 \\ \frac{x^2}{169} + \frac{y^2}{25} = 1$

5 0

2 years ago

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The average time an individual reads online national news reports is 49 minutes. Assume the standard deviation is 16 minutes and

Alexus [3.1K]

Answer:

11.70% probability someone will spend no more than 30 minutes reading online national news reports.

Step-by-step explanation:

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.

In this problem, we have that:

$\mu = 49, \sigma = 16$

What is the probability someone will spend no more than 30 minutes reading online national news reports?

This is at most 30 minutes, so 30 or less minutes. This is the pvalue of Z when X = 30.

So

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

$Z = \frac{30 - 49}{16}$

$Z = -1.19$

$Z = -1.19$ has a pvalue of 0.1170.

So there is a 11.70% probability someone will spend no more than 30 minutes reading online national news reports.

4 0

2 years ago

What is 6.37 × 104 written in standard form? A. 63,700 B. 637,000 C. 6370 D. 637

Setler [38]

= 6.37 * 10^4 = 637 * 10^2 = 63700

In short, Your Answer would be Option A

Hope this helps!

8 0

2 years ago

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