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Marina CMI [18]
3 years ago
9

Assume that the salaries of elementary school teachers in the united states are normally distributed with a mean of $32,000 and

a standard deviation of $3000. if 100 teachers are randomly selected, find the probability that their mean salary is less than $32,500.
Mathematics
2 answers:
murzikaleks [220]3 years ago
8 0

Answer: 0.9525

Step-by-step explanation:

Given : The salaries of elementary school teachers in the united states are normally distributed with a mean of \mu=\$32,000 and a standard deviation of \sigma=\$3000.

Sample size : n= 100

Let x be a random variable that denotes the salaries of elementary school teachers in the united states.

Formula : z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}

Then, the probability that their mean salary is less than $32,500 will be :-

P(x

Hence, the probability that their mean salary is less than $32,500 = 0.9525

yanalaym [24]3 years ago
7 0
Can you make this question clearer to read
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Answer:

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Step-by-step explanation:

The full steps or solution to this is in an an attached document.

4 0
3 years ago
The number of freshman at George Washington high school is 60 greater than the number of sophomores. If there are 1250 students
solmaris [256]

Answer:

Hence total number freshman presented are 655.

The system is relative system as there is correlation between freshman and

sophomores<em>.</em><em>( as freshman are 60 more than the Sophomores)</em>

Step-by-step explanation:

Given:

1250 total students of sophomores and freshman.

To Find:

freshman count and its type of system used.

Solution:

We have that ,

consider x be the no.of freshman and y be the sophomores

So by given condition,

x+y=1250        ,..............................Equation(1)

And other one,

x=60+y

Use above value in equation (1) we get ,

60+y+y=1250

2y=1250-60

y=595

Now number of freshman ,

x+y=1250

x=1250-595

x=655

Hence total number freshman presented are 655.

The system represent the relative proportion system.The break even and total value should include all students in university .

Relative means in relationship with one another .

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3 0
3 years ago
Solve the System by Graphing:
Marat540 [252]

Answer:

  • B) One solution
  • The solution is  (2, -2)
  • The graph is below.

=========================================================

Explanation:

I used GeoGebra to graph the two lines. Desmos is another free tool you can use. There are other graphing calculators out there to choose from as well.

Once you have the two lines graphed, notice that they cross at (2, -2) which is where the solution is located. This point is on both lines, so it satisfies both equations simultaneously. There's only one such intersection point, so there's only one solution.

--------

To graph these equations by hand, plug in various x values to find corresponding y values. For instance, if you plugged in x = 0 into the first equation, then,

y = (-3/2)x+1

y = (-3/2)*0+1

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The point (0,1) is on the first line. The point (2,-2) is also on this line. Draw a straight line through the two points to finish that equation. The other equation is handled in a similar fashion.

7 0
2 years ago
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hichkok12 [17]

Answer:

1600/49

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Hope it helped :)
7 0
3 years ago
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