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Shkiper50 [21]
3 years ago
5

Assume that the salaries of elementary school teachers in a particular country are normally distributed with a mean of $38,000 a

nd a standard deviation of $4,000. What is the cutoff salary for teachers in the top 7%?
Mathematics
1 answer:
VLD [36.1K]3 years ago
6 0

Answer:

$43,920.

Step-by-step explanation:

We have been given that the salaries of elementary school teachers in a particular country are normally distributed with a mean of $38,000 and a standard deviation of $4,000.

We will use the normal distribution table to solve our given problem. From normal distribution table, we need to find the z-score corresponding to the top 7% or z-score corresponding to probability 93% (0.93).

From normal distribution table, we get our required z-score as 1.48.

Now, we will use z-score formula to solve for sample score as:

z=\frac{x-\mu}{\sigma}\\\\1.48=\frac{x-38000}{4000}

1.48*4000=\frac{x-38000}{4000}*4000

5920=x-38000

5920+38000=x-38000+38000

43920=x

Therefore, the cutoff salary for teachers in the top 7% is $43,920.

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3 years ago
A construction company wants to hire carpenters for $220 a day and plumbers for $260 a day. The company wants to hire at least 1
joja [24]

Answer:


Step-by-step explanation:

Yes the company can hire 6 carpenters and 12 pumbers

So first lets find out how much it costs to have 6 carpenter for $220 a day.

$220 × 6 = $1320  this is how much it cost to pay 6 carpenters for one day.

Now lets find how much it cost to 12 plumbers at $260 a day.

$260 × 12 = $3120 this is how much it costs to pay 12 plumbers a day.

The total amount you have to pay to the workers is:

$3120 + $1320 = $4440

Your budget was $4500 so the total costs for the workers is $4440 which means you can hire those workers and you would still have $60.


3 0
3 years ago
The volume of a cube is 216 ft. What is the length of a side?
irina [24]

Answer: 6 in.

Step-by-step explanation:

Hope this helped! :)

3 0
2 years ago
Read 2 more answers
Identify the sequence as arithmetic, geometric, or neither. Explain your work.
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4 0
2 years ago
In a two digit number, t = the tens digit and u = the ones digit. Which of the expressions below shows the value of its reversal
Leni [432]

10u + t is the expressions shows the value of the reversal of digits in a two digit number, t = the tens digit and u = the ones digit. This can be obtained by multiplying 10 with the tens digit and adding unit digit.

<h3>Which is the required expressions?</h3>

Given that, in a two digit number,

t = the tens digit

u = the ones digit

The expression for the digit will be ,

10×t + u = 10t + u

The value of its reversal,

u = the tens digit

t = the ones digit

10×u + t = 10u + t is the required expression

For example,

37 = 10×3 + 7 = 30 + 7 and its reverse 73 = 10×7 + 3 = 70 + 3

Hence 10u + t is the expressions shows the value of the reversal of digits in a two digit number, t = the tens digit and u = the ones digit.

Learn more about algebraic expressions here:

brainly.com/question/19245500

#SPJ1

4 0
1 year ago
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