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erica [24]
3 years ago
12

The average hourly charge of plumbers in the Denver area is $84.00 with a standard deviation of $4.00. Assume that the hourly ch

arges of the plumbers in Denver are normally distributed. If a person living in Denver calls a random plumber, what is the probability that the plumber will charge at least $86.00 per hour. Express your answer as a decimal between 0 and 1, to the nearest hundredth.
Mathematics
1 answer:
Simora [160]3 years ago
5 0

Answer:

The probability is 0.31

Step-by-step explanation:

In this question, we are tasked with calculating the probability that a random plumber called at Denver will charge an amount greater than $86 given the mean and the standard deviation.

Firstly, we calculate the standard score of $86 using the mean and the standard deviation.

Mathematically;

z-score = (x-mean)/SD

where x = 86, mean = 84 and SD = 4

z-score = (86-84)/4 = 2/4 = 0.5

Hence, we want to calculate P(z ≥ 0.5)

Using standard table

P( (z ≥ 0.5) = 1 - P(z ≤ 0.5) = 1 - ( 0.19146 + 0.5) = 0.30854

To the nearest hundredth = 0.31

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To find the tax = $3129 × 4% = $125.16.
The final price = $3129 + $125.16 = $3254.16.

Hope this helps
8 0
3 years ago
AKAJAXOSPAPXODAOAPA HELP
Leya [2.2K]

Answer:

He used 6 bananas at .50 which cost $3.00

12 oranges at .75 which cost $9.00 and

3 papayas at $1.25 which cost $3.75

Step-by-step explanation:

We can set up a system of equations using the information given.

b for banana, r for orange, p for papaya

b + r + p = 21. Also given r = 2b So substitute to simplify for calculating two unknowns:

b + 2b + p = 21 The number of items.

50b + 75(2b) +125p = 1575 The cost.

<em>I </em><em>multiplied</em><em> </em><em>everything</em><em> </em><em>by </em><em>100 </em><em>to </em><em>eliminate</em><em> </em><em>the</em><em> </em><em>decimals</em><em>.</em>

To solve by substituion, rewrite the first equation to get a value for p in terms of b

p = 21 - 3b

Substitute this value in the second equation and solve for b.

50b + 150b + 125(21–3b) = 1575

200b +2625 –375b = 1575 Subtract 2625 from both sides and combine the like terms:

–175b = 1575 –2625

–175b = –1050. Divide both sides by –175

b = 6

Substitute in the original equation to find the amount of each fruit:

b + r + p = 21

b = 6 bananas

r = 2b. 2(6) = 12 oranges. <em>I </em><em>used </em><em><u>r </u></em><em>so </em><em>as </em><em>not</em><em> to</em><em> </em><em>mix </em><em>up </em><em>o </em><em>with </em><em>0</em><em>.</em><em> </em>

6 + 12 + p = 21

p = 21 –18

p = 3 papayas

7 0
2 years ago
Simplify the expression -4^2(3x - 7)
maxonik [38]

Answer:

−48x+112

Step-by-step explanation:

evatulate: −16  (3−7)

                -48+112

3 0
2 years ago
Find the values of x and y.
hodyreva [135]

Answer:

C, (x = 100, y = 10)

Step-by-step explanation:

hi again,

(2x - 70) = (x + 30), by the Alternate Exterior Angles

x - 70 = 30

<em>x = 100</em>

<em />

(2x - 70) + 5y = 180, by the Linear Pair Theorem

2(100) - 70 + 5y = 180

200 - 70 + 5y = 180

130 + 5y = 180

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<em>y = 10</em>

8 0
3 years ago
What number can be added to n and is equal to 200​
kirill [66]
N is an number you make up or your teacher so we need to know what n equals
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3 years ago
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