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irga5000 [103]
3 years ago
6

The incomes in a certain large population of college teachers have a Normal distribution, with mean $75,000 and standard deviati

on $10,000. Sixteen teachers are selected at random from this population to serve on a committee. What is the probability that their average salary is more than $77,500?
Mathematics
2 answers:
Natali [406]3 years ago
8 0

Answer:

probability that their average salary is more than $77,500 is 0.1587

Step-by-step explanation:

standard error

= 10,000/sqrt(16)

=10,000/4

= 2500 

(77,500 - 75000)/2500

2,500/2500

= 1 

p (z > 1) = .1587

So, the probability that their average salary is more than $77,500 is 0.1587

Marizza181 [45]3 years ago
6 0

Answer:

probability that their average salary is more than $77,500 is 0.1587

Step-by-step explanation:

If my answer qualifies please mark brainliest!

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Alex17521 [72]

Answer & Step-by-step explanation:

First, we will multiply 5 by 28 to find out the total number of ages in the room.

5 * 28 = 140

Now, we will multiply 6 by 29 to find out the total number of ages in the room after the new person comes in.

6 * 29 = 174

Now, in order for us to find the age of the new person, then we will subtract 140 from 174.

174 - 140 = 34

So, the person that entered the room is 34 years old.

6 0
3 years ago
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Expres each of the folowing as a single matrix.
Elden [556K]

Answer:

\left[\begin{array}{cc}6&-3\\10&-1\end{array}\right]+\left[\begin{array}{cc}-2&8\\3&-12\end{array}\right]=\left[\begin{array}{cc}4&5\\13&-13\end{array}\right]

Step-by-step explanation:

If you have two matrices:

A=\left[\begin{array}{cc}a&b\\c&d\end{array}\right]\\and\\B=\left[\begin{array}{cc}e&f\\g&h\end{array}\right]\\\\\\A+B=\left[\begin{array}{cc}a+e&b+f\\c+g&d+h\end{array}\right]

We have:

A=\left[\begin{array}{cc}6&-3\\10&-1\end{array}\right]\\and\\B=\left[\begin{array}{cc}-2&8\\3&-12\end{array}\right]

And we need to express as a single matrix:

A+B=\left[\begin{array}{cc}6&-3\\10&-1\end{array}\right]+\left[\begin{array}{cc}-2&8\\3&-12\end{array}\right]\\\\\\A+B=\left[\begin{array}{cc}6+(-2)&-3+8\\10+3&-1+(-12)\end{array}\right]\\\\\\A+B=\left[\begin{array}{cc}6-2&5\\13&-1-12\end{array}\right]\\\\\\A+B=\left[\begin{array}{cc}4&5\\13&-13\end{array}\right]

The answer is:

\left[\begin{array}{cc}6&-3\\10&-1\end{array}\right]+\left[\begin{array}{cc}-2&8\\3&-12\end{array}\right]=\left[\begin{array}{cc}4&5\\13&-13\end{array}\right]

It is expressed as a single matrix.

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Answer:

D

Step-by-step explanation:

So you can protect your eyes.

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andriy [413]
<span>Function 1:

Number of Weeks (x)          Amount Remaining (dollars) (y)

1                                           30
2                                           24
3                                           18
4                                           12

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The equation shows the relationship between the amount of money, y, remaining in Ricky's account and the number of weeks, x:

Function 2: y = –7x + 30 Which statement states and explains which function shows a greater rate of change?

The rate of change is the slope of the linear function, and this is the coefficient of the independent variable, x. Then the rate of change is - 7 dollar per week. Now you know that the two rates are constant and that the second function shows a steeper decreasing.


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zalisa [80]

Explanation:

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