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Misha Larkins [42]
3 years ago
5

The average hourly wage of workers at a fast food restaurant is $6.50/hr with a standard deviation of $0.45. Assume that the dis

tribution is normally distributed. If a worker at this fast food restaurant is selected at random, what is the probability that the worker earns more than $6.75
Mathematics
1 answer:
nikklg [1K]3 years ago
4 0

Answer:

The probability of selecting a worker who earns more than $ 6.75 is 0.2877 or 28.77%

Step-by-step explanation:

We are given;

The wages are normally distributed;

Average wage per hour; μ = $6.50

Standard deviation; σ = $0.45

Now, we want to find the probability that the worker earns more than $6.75

So, we'll find the z-value of P(x > 6.75) using the formula Z = (x-μ)/σ

Thus,

Z = (6.75-6.50)/0.45

Z = 0.556

So, looking at the z-distribution table P(Z>0.556) = 1 - P(Z < 0.556) = 1 - 0.7123 = 0.2877

Thus, The probability of selecting a worker who earns more than $ 6.75 is 0.2877 or 28.7%

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goblinko [34]

The range that the amount withheld vary if the weekly​ wages, after subtracting withholding​ allowances, vary from $600 to $700 ​inclusive is: 76.35<x<101.35.

<h3>Range</h3>

Given

592<x1317

74.35+.25

Hence:

Lowest range

74.35+.25(600-592)

74.35+.25(8)

74.35+2

=76.35

Highest range

74.35+.25(700-592)

74.35+.25(108)

74.35+27

=101.35

Range

76.35<x<101.35

Therefore the range that the amount withheld vary if the weekly​ wages, after subtracting withholding​ allowances, vary from $600 to $700 ​inclusive is: 76.35<x<101.35.

Learn more about range here: brainly.com/question/2264373

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7 0
1 year ago
Apply the distributive property to write an equivalent expression.
aleksley [76]

Answer:

6x + 48

Step-by-step explanation:

multiply each term inside the () by 6

6x + 6*8

7 0
3 years ago
Which linear inequality is represented by the graph?
Tamiku [17]

Answer:

Option (4)

Step-by-step explanation:

From the graph attached,

A dotted line passes through two points (3, 1) and (-3, -3)

Let the equation of the given line is,

y = mx + b

where 'm' = slope of the line

b = y-intercept

Slope of a line passing through (x_1, y_1) and (x_2,y_2) is,

m = \frac{y_2-y_1}{x_2-x_1}

For the given points,

m = \frac{1+3}{3+3}

m = \frac{2}{3}

y-intercept 'b' = -1

Therefore, equation of the given line will be,

y=\frac{2}{3}x-1

Since graphed line is a dotted line so it's representing an inequality(having < or > sign)

And the shaded part is below the dotted line,

Inequality will be,

y < \frac{2}{3}x-1

Therefore, Option (4) will be the answer.

7 0
3 years ago
Can anyone help me please i dont understand this
Katena32 [7]

Answer:

try doing this for each quesion

so you see the negative? well negative means less than more. then use your signs and try to get it done reply if you still dont understand

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
if the windows cost 159.00 each she wants to buy 10 and spend $ 200.00 for a door. how much would she have to save?​
dlinn [17]

Answer:

$1,790

Step-by-step explanation:

159.00 x 10 = 1590

200 x 1 = 200

1590 + 200 = 1790

6 0
3 years ago
Read 2 more answers
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