A supervisor finds the mean number of miles that the employees in a department live from work. He finds x Overbar = 29 and s = 3. 6. Which mileage is within a z-score of 1. 5? 21 miles 24 miles 36 miles 41 miles.

Answers

Answer 1

The correct option is (B).24 miles.

Z-score is basically another term for the specific number of standard deviations. I suppose we can assume normality here, even though it isn't given, so I'd make a rough sketch.

Otherwise, just use the basic formula:

[tex]z_{score} =\dfrac{x-\mu}{\sigma}[/tex]

 Given that,

[tex]\bar{x}=29[/tex] (statistic for a mean) and [tex]s=3.6[/tex] (statistic for a standard deviation).

Since z-score must be Less than 1.5, So

[tex]1.5> \dfrac{x-29}{3.6}\\[/tex]

[tex]1.5 \times3.6 > x-29\\5.4+29> x\\34.4> x[/tex]

I just used normal cdf and got [tex]23.6<x<34.4[/tex].

Hence the correct option is (B).24 miles.

For more details on z score follow the link:

https://brainly.com/question/13299273

 

Answer 2

Answer:

B

Step-by-step explanation:

Correcct on edge22


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Which function is graphed on the coordinate plane below?
Ty
x
f(x) = 2x - 6
Of(x) = 2x + 6
f(x) = -2x + 6
Mark this and retum
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Submit

Answers

Step-by-step explanation:

we don't see all possible answer options.

but it does not matter.

the line is clearly

y = 2x - 6

why ?

the slope is always the factor of x.

and the slope is defined as ratio of "y coordinate change / x coordinate change".

and we can clearly see, for every change in x by +1, y changes by +2. zu, the slope is 2/1 = 2.

and when x = 0, the graph shows us the y-intercept with y = -6.

hence the above mentioned equation.

The Function is graphed on the coordinate plane is y= 2x- 6.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

We have points from the graph as (3, 0) and (0, -6).

So, the slope of line is

slope= (-6 -0)/ (0-3)

slope = -6/ (-3)

slope= 2

Now, using the slope intercept form

y= mx + b

y= 2x + b

Now, put x= 3 and y= 0 we get

0= 6 + b

b = -6

So, the required function is

y= 2x - 6.

Learn more about Slope here:

https://brainly.com/question/3605446

#SPJ7

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Answers

Answer:

≈ 0.35

Step-by-step explanation:

First simplify [tex]\sqrt{8}[/tex] and [tex]\frac{1}{8}[/tex] :

[tex]\sqrt{8}[/tex] ≈ 2.83

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Answers

Answer:

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Step-by-step explanation:

72 = 2x + 16x , that is

72 = 18x ( divide both sides by 18 )

4 = x

Answer:

x=4

Step-by-step explanation:

72=18x

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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