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eduard
1 year ago
8

A recent study of the hourly wages of maintenance crew members for major airlines showed that the mean hourly salary was $20.50,

with a standard deviation of $3.50. assume the distribution of hourly wages follows the normal probability distribution. we select a crew member at random. what is the probability the crew member earns
Mathematics
1 answer:
RSB [31]1 year ago
8 0
You ended without giving the values, so we can't get the exact answer. However, I can tell you steps.

First, you need to find the z-score. Then, look up the z-score on a normal distribution table and you will get the percent.

Let's call your value X. Just plug X into the equation below and you will have your z-score.

(x - 20.5) / 3.5 = z

Now, look up the z-score and you will have your probability.<span />
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You fly a hot air balloon 0.5 miles above the ground. What is the measure of BD⌢, the portion of Earth that you can see? Round y
salantis [7]

Step-by-step explanation:

To solve this problem, we need the angle CAD, which can then be used to calculate the arc BD.

From definition of cosine,

cos(x) = adjacent / hypotenuse

cos(x) = AD / AC = 4000 / 4000.5 = 0.9998750156230471

The inverse function gives

x = arccosine (4000/4000.5)

  = arccosine (0.9998750156230471)

  = 0.01581056485742214 radians = 0.9058786380481468 degrees

Radius of the earth, r = 4000 miles

Arc BD = 2 time arc subtended by angle x

= 2 (rx)    where x is in radians

= 2*4000*0.01581056485742214

= 126.48 miles (to two decimal places)

5 0
2 years ago
Part A: Find a rational number that is between 7.7 and 7.9. Explain why it is rational. (2 points)
cluponka [151]
Part A.
7.8 is a rational number between 7.7 and 7.9.
It is rational because it can be written as a fraction of integers, such as 78/10.

Part B.
sqrt(60) = 7.75
sqrt(60) cannot be written as a fraction of integers. It is a decimal number that never ends and never repeats.
7 0
2 years ago
herlene has 5.05 in quarters and dimes. The number of quarters is one more than twice the number of dimes. Find the number she h
VLD [36.1K]

Answer:

<em>Herlene has 8 dimes and 17 quarters</em>

Step-by-step explanation:

<u>System of Equations</u>

Let's call:

x = number of dimes Herlene has

y = number of quarters Herlene has

Since each dime has a value of $0.10 and each quarter has a value of $0.25, the total money Herlene has is 0.10x+0.25y.

We know this amount is $5.05, thus:

0.10x + 0.25y = 5.05        [1]

It's also given the number of quarters is one more than twice the number of dimes, i.e.:

y = 2x + 1        [2]

Substituting in [1]:

0.10x + 0.25(2x + 1) = 5.05

Operating:

0.10x + 0.5x + 0.25 = 5.05

0.6x = 5.05 - 0.25

0.6x = 4.8

x = 8

From [2]:

y = 2*8 + 1 = 17

y = 17

Herlene has 8 dimes and 17 quarters

4 0
1 year ago
4 lines are shown. One line contains points F, E, A. 3 lines come out of point E. One line goes to point D, another line goes to
Zepler [3.9K]

Answer:

a

Step-by-step explanation:

7 0
2 years ago
Which point shows the location of 5 – 2i on the complex plane below? On a coordinate plane, points A, B, C, and D are shown. Poi
Romashka-Z-Leto [24]

Answer:

The Point C shows the location of 5-2i in the complex plane: 5 points to the right of the origin and 2 points down from the origin.

Step-by-step explanation:

We have the complex number 5-2i and we have to show the location of the point that represents that number in the complex plane

In the complex plane the real numbers are located in the horizontal axis, increasing to the right. The positives real numbers are at the right of the origin and the negatives to the left.

The complex numbers are located in the vertical axis, with the positives over the origin and the negatives below the origin.

This complex number 5-2i is the sum of a real part (5) and a imaginary part (-2i), so the point will be 5 units rigth on the horizontal axis (for the real part) and 2 units down in the vertical axis (for the imaginary part).

8 0
1 year ago
Read 2 more answers
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