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Maurinko [17]
3 years ago
7

The average weekly income of teachers in one school district is $750 with a standard deviation of $85. Find the percentage of te

achers earing more than $825 a week?
Mathematics
1 answer:
dalvyx [7]3 years ago
7 0
Point estimate (average) = $750
Standard deviation = $85
P(X>$825) = ?

Z = (X-mean)/Standard deviation = (825-750)/85 ≈ 0.88

From Z-table, P(X=825) = 0.8106

Therefore,
P(X>$825) = 1 - P(X=$825) = 1-0.8106 = 0.1894 = 18.94%

Percentage of teachers earning more than $825 is 18.94%.
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vazorg [7]

Answer:

y=-\frac{6}{5} x

Step-by-step explanation:

y=-6/5x+0

y=-6/5x

6 0
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garik1379 [7]

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Step-by-step explanation:

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6 0
2 years ago
The temperature of a city changed -24 degrees Celsius over a 6 week period. Write an expression the show the average change in t
Ne4ueva [31]

Answer:

The expression is (-24) / 6 = -4degrees which means that in each week the average change in temperature was -4 degrees Celsius.

Step-by-step explanation:

Change in a quantities can as well be interpreted as rate of change which is used in many everyday problems, such as weather forecast, traveling , in science and so on.When we are talking about rate of change it's is usually in ratio such as Miles per hour or feet per second can be used in calculation involving rates of speed. It is how one quality is changing with respect to time , for instance, rate equals distance divided by time: r = d/t.

In finance rate of change is also applicable we can have Unit price which is a particular rate that compares a price to some unit of measure. Example is $64 per dozen.

Therefore, Given from the question,

The temperature of a city changed -24 degrees Celsius ,

Time =6 weeks period.

Then change is r = d/t.

= (-24) / 6

Change = (-24) / 6 = -4 degrees

This means that each week the average change in temperature was -4 degrees Celsius.

3 0
3 years ago
Let U = {5, 10, 15, 20, 25, 30, 35, 40, 45, 50} A = {5, 10, 15, 20, 25} B = {25, 30, 35, 40, 45} C = {10, 20, 30, 40, 50} Find A
Dima020 [189]

Answer:

A∪B = {5, 10, 15, 20, 25, 30, 35, 40, 45}

Step-by-step explanation:

A = {5, 10, 15, 20, 25}

B = {25, 30, 35, 40, 45}

Find A∪B

There are 5 elements in set A

There are 5 elements in set B

A∪B is the combination of all the elements in set A and set B without repeating any

A∪B = {5, 10, 15, 20, 25, 30, 35, 40, 45}

A∪B has 9 elements in it

A ⋂ B = {25}

6 0
3 years ago
Preston and Joel are both solving the equation 2x=14. Preston is not sure what to do because he does not know a power of 2 that
Murrr4er [49]

Answer:

  yes

Step-by-step explanation:

You can always separate an equation into two parts and see where those graphs intersect.

Joel's method works well.

_____

<em>Additional comments</em>

Preston should know that the invention of logarithms makes it easy to solve equations like this. x = log₂(14) = log(14)/log(2) ≈ 3.8073549.

As for Joel's method, I prefer to subtract the right side to get the equation ...

  2^x -14 = 0

Then graphing y = 2^x -14, I look for the x-intercept. Most graphing calculators make it easy to find x- and y-intercepts. Not all make it easy to find points of intersection between different curves.

7 0
3 years ago
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