1)The average teacher's salary in a certain state is $37,764. Assume a normal distribution with a standard deviation of $5100. Assume that the sample is taken from a large population and the correction factor can be ignored. Use a TI-83 Plus/TI-84 Plus calculator and round the answers at least four decimal places.
(a) What is the probability that a randomly selected teacher's salary is greater than $42,000?
p (X > 42,000)=?
(b) For a sample of 75 teachers, what is the probability that the sample mean is greater than $39,500?
P (ꭓ > 39,500)=?

Answer:

Per mile Chau takes 5.8 minutes per mile.

Step-by-step explanation:

To find this answer you would have to do the amount of time divided by the amount of miles. Always remember when dividing time most of the time goes first unless the problem / instructions say differently. So, when you do 50 divided by 10 you will get 5.8. So, Chau takes 5.8 minutes per mile.

Answer:

1 mile ~ 1.60934 kilometers

Step-by-step explanation:

Hope this helps

Have a great day!

Answer:

6850 & 650

Step-by-step explanation:

The question is partly incomplete as it didn't state the cost of ticket sold. Also, it didn't state the total number of tickets sold. But, assuming that the tickets sold were $15 and $25 tickets, and the total number of tickets sold was 7500, then we say that

Let x = the number of $15 tickets sold

Let y = the number of $25 tickets sold

x + y = 7500 y = 7500 - x

15x + 25y = 119000

15x + 25(7500-x) = 119000

15x + 187500 - 25x = 119000

-10x = -68500

x = 68500 / 10

x = 6850 tickets at $15 each

Remember from the first calculation, we said x + y = 7500, then

y = 7500 - 6850

y = 650 tickets at $25 each

All you have to do is substitute the values I assumed for your given value. Thanks

Answer:

The 95% confidence interval for the population mean is between $140.89 and $159.11

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]

Now, find the margin of error M as such

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample. So

[tex]M = 1.96\frac{36}{\sqrt{60}} = 9.11[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is $150 - $9.11 = $140.89

The upper end of the interval is the sample mean added to M. So it is $150 + $9.11 = $159.11

The 95% confidence interval for the population mean is between $140.89 and $159.11

Answer:

c

Step-by-step explanation:

Answer:

-0.5

Step-by-step explanation:

Answer:

-6 1/2

Step-by-step explanation: M A T H W A Y Calculator

Answer:

you betta do ya best it might be 34

Step-by-step explanation:

Answer: the answer is 2/5

Step-by-step explanation: e

Answer:

65%

Step-by-step explanation:

Answer:

a   x^2+8x

b   12x-30x^2

-----------------------------------

a  3 ( 7 a + 8 b )

b 6 ( 2 a + 3 b )

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9 x ^2 + 2 x

---------------------------------

x=7/2 fraction

x=3.5 decimal

x=3 1/2 mixed number

ı hope ıt will help you

Step-by-step explanation:

I believe the answer is 4.

Step-by-step explanation:

Hope this helps!

Answer:

The tax paid by shania is $17.2

Step-by-step explanation:

The computation of the tax paid by shania is as follows:

= Cost of the shania groceries × sales tax rate

= $215 × 8%

= $17.2

by multiplying the cost of the shania groceries with the sales tax rate we can measured the tax paid by shania

hence, the tax paid by shania is $17.2

Answer:

1. the cross section is a rectangle 2.the cross section is a trapezoid 3.the cross section is a rectangle 4.the cross section is a point

Step-by-step explanation:

Step-by-step explanation:

Cross section dimensions

Answer:

slope is 1/2 and the y intercept is -1

Step-by-step explanation:

Answer: -4

Step-by-step explanation:

Answer:

r= -4

Step-by-step explanation:

Divide both sides by the numeric factor on the left side, then solve.

    </3 PureBeauty

Answer:

A. 0 and 4

Step-by-step explanation:

The x-intercepts are simply the values of x when y = 0. In other words it is the points where the line curve intercepts or cuts across the x-axis.

Form the graph given, we can see that at x = 0 and x = 4, the value of y = 0. Simply put, the curve cuts the x-axis at x = 0 and x = 4.

x-intercepts are 0 and 4.

Answer:

6

Step-by-step explanation:

Answer:

Extra 50 bags were collected by the messengers.

Step-by-step explanation:

a) Number of bags of cowries levied as fine by the District Commissioner = 200 bags

Number of bags of cowries collected by the messengers = 250 bags

The difference or extra bags collected above the authorized fine = 50 (250 - 200)

b) The extra 50 bags could be bribes collected by the messengers to settle their own selfish interests.  They could also represent extras freely donated by the villagers for the messengers' trouble.  In the colonial days, when literacy levels were very low among the indigenous peoples of Africa and white men were in charge of governance, it was established that the black "middlemen," called interpreters or messengers, greatly exploited their own people through inflated and wrongful interpretations of fines, contrary to what was levied by the District Commissioners (DCs).

Answer: x=4

Step-by-step explanation: 3x+8x= 11x. Divide 44 by 11 and it equals 4

Answer:

X = -6

1. 3x + 9 = 5x + 21

2. Subtract -5x from both sides

3x + 9 - 5x = 5x + 21 - 5x

3.-2x + 9 = 21

4. Subtract 9 from both sides

-2x + 9 - 9 = 21 - 9

5.-2x = 12

6. Divide both sides by -2

-2x/-2 = 12/-2

7. x= -6