Suppose the salaries of university professors are approximately normally distributed with a mean of $65,000 and a standard deviation of $7,000. If a random sample of size 25 is taken and the mean is calculated, what is the probability that the mean value will be between $62,500 and $64,000? a. .1465 b. .0827 c. .0371 d. .2005

Answers

Answer 1

Answer:

0.2005

Step-by-step explanation:

Mean, m = 65000

Standard deviation, σ= 7000

Sample size, n = 25

Let X = random variable of salary

Recall:

Z = (μ - x) /(σ/√n)

P(62500 ≤ x ≤ 64000) =?

Pr((65000 - 62500)/7000/√25 ≤ z ≤ (65000 - 64000) / 7000/√25)

P(2500 / 1400 ≤ z ≤ 1000/1400)

P = (1.79 ≤ z ≤ 0.714)

Using the normal distribution table or a Z probability calculator

0.4633 - 0.2624

= 0.2009


Related Questions

The library surveyed 180 people about their favorite type of movie. If 40% of the people chose action, how many people chose action?

Answers

Answer:72

Step-by-step explanation:

A distance of 400 km is represented in the map by 3 cm. What is the distance between two towns if they are 7.5 cm apart in the map?​

Answers

Answer:

The distance between the two towns is of 1000 km.

Step-by-step explanation:

This question is solved by proportions, using a rule of three.

We have that:

3 cm represents a distance of 400 km.

What is the distance represented by 7.5 cm?

3 cm - 400 km

7.5 cm - x km

Applying cross multiplication:

[tex]3x = 400*7.5[/tex]

[tex]x = \frac{400*7.5}{3}[/tex]

[tex]x = 1000[/tex]

The distance between the two towns is of 1000 km.

Helppp please and thank you !

Answers

Answer:

209 (Sorry if wrong)

Step-by-step explanation:

12x12=144

13x5=65

144+65=209

Answer:  174 square meters

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

How to get that answer:

We have a 12 by 12 square of area 12*12 = 144 square meters.

Then on top of this we have a triangle with base 12 and height 5, so its area is base*height/2 = 12*5/2 = 60/2 = 30 square meters

Overall, the two areas combine to 144+30 = 174 square meters

---------

Side notes:

The missing side of the triangle can be found through the pythagorean theorem. You could use the trapezoid area formula as an alternative path, instead of finding the area of each smaller piece.We can condense the unit "square meters" into "sq m" or "m^2".

A bag with 8 marbles is shown below. (2 marbles are yellow, 3 are red, and 3 are blue.) A marble is chosen from the bag at random. What is the
probability that it is yellow or red?
Write your answer as a fraction or a whole number.

Answers

Answer:

[tex]\frac{5}{8}[/tex]

Step-by-step explanation:

Hi there!

We're given that there are 8 marbles in total. 2 marbles are yellow and 3 are red, making the number of red AND yellow marbles 5 (2+3=5)

Because 5 out of the 8 marbles are yellow or red, the probability of choosing one of them is [tex]\frac{5}{8}[/tex].

I hope this helps!

Answer:

P(Red or Yellow) = 5/8

Step-by-step explanation:

2 (yellow) + 3 (red) = 5

Hence, the probability is 5/8

Feel free to mark it as brainliest :D

One box has 16 apples. Another box has 24 lemons. Each apple weighs twice as much as each lemon. If A is the weight of the box of apples
and B is the weight of the box of lemons, what is?

Answers

Answer:

48

Step-by-step explanation:

cuanto es 1+1 y 50+4

Answers

Answer:

1+1=2

50+4=54

54+2=56

Step-by-step explanation:

Answer:1+1 es 2 50+4 es 54

Step-by-step explanation:primero te debes de dar cuenta que 1+1 es 2 si te fijas en el 1 la parte de ariba si lo multiplicas por 2 lo divides por 2 luego le restas 1 y le sumas 2 y le restas 1 y lo vuelves a multiplicar por 2 te das cuenta que seria la misma respuesta que seria en total el resultado seria 2 y el de 50+4 es 54 porque si te das cuenta el numero cubico la cuadrado es 2345432345654323456543234543234543234543 respuesta justificada

Jack wants to abopt all kittens that weigh more than 4 ounces how many kittens will he abopt

Answers

Yea he will
Adopt that many kittens

round to the nearest hundredth . 7.428

Answers

Answer:

7.43

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

7.43

Step-by-step explanation:

So lets go over a few things:

In decimal form, you start of in the tenths.

So in this case that is 4.

After tenths, is hundreths, thousandths, ten thousandths, etc.

Since hundreths comes after the tenths, that will be 2.

Any number 5 or greater will be rounded up, and any number below 5 is rounde down.

Now, to find if we raise or lower the hundreths(which is 2), we must see if the thousandth splace is above or lower than 5.

We can see that our thousandths is 8.

Since 8 is higher than 5, the 2 in our hundreths place will go up to 3.

So we get:

7.43

Hope this helps!

Please help me!!!

Find the measure of angle x in the figure below:

Answers

Answer:

Step-by-step explanation:

48° is the answer to the question

P(A and B)=P(A)•P(B) is used when two events are used when two events are

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Answer:

Independent.

Step-by-step explanation:

Independent events:

Two events, A and B, are said to be independent if the probability of both happening is the same as the multiplication of the probabilities of each happening, that is:

[tex]P(A \cap B) = P(A)P(B)[/tex]

Thus, P(A and B)=P(A)•P(B) is used when two events are independent.

Edward took a survey of his classmates to see how many pets each student has. The dot plot shows the results of his survey

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Where the picture I need to see the picture

Which pair of functions are inverses of each other?
Wanting to make sure of answers in this pretest

Answers

Answer:

The only pair of functions that are inverses of each other are the ones for option D.

Step-by-step explanation:

Two functions, f(x) and g(x), are inverses if and only if:

f( g(x) ) = x

g( f(x) ) = x

So we need to check that with all the given options.

A)

[tex]f(x) = \frac{x}{7} + 10 \\g(x) = 7*x - 10\\[/tex]

then:

[tex]f(g(x)) = \frac{7*x + 10}{7} -10 = x + \frac{10}{7} - 10[/tex]

This is clearly different than x, so f(x) and g(x) are not inverses.

B)

[tex]f(x) = \sqrt[3]{11*x} \\g(x) = (\frac{x}{11} )^3[/tex]

Then:

[tex]f(g(x)) = \sqrt[3]{11*(\frac{x}{11})^3 } = \sqrt[3]{\frac{x^3}{11^2} } = \frac{x}{11^{2/3}}[/tex]

This is different than x, so f(x) and g(x) are not inverses.

C)

[tex]f(x) = \frac{7}{x} -2 \\g(x) = \frac{x + 2}{7}[/tex]

Then:

[tex]f(g(x)) = \frac{7}{\frac{x + 2}{7} } - 2 = \frac{7*7}{x + 2} - 2[/tex]

Obviously, this is different than x, so f(x) and g(x) are not inverses.

D)

[tex]f(x) = 9*x - 6\\g(x) = \frac{x + 6}{9}[/tex]

Then:

[tex]f(g(x)) = 9*\frac{x + 6}{9} - 6 = x + 6 - 6 = x\\g(f(x)) = \frac{(9*x - 6) + 6}{9} = x[/tex]

In this case we can conclude that f(x) and g(x) are inverses of each other.

Reflect the following points over the
x-axis. (-5, -3) (-2,-6) (-4,-8)

Answers

Reflect over x-axis rule: (x,y) -> (x,-y)

(-5,3) --> (-5,-3)

(-2,-6) --> (-2,6)

(-4,-8) --> (-4,8)

I. B. Find the circumference of the following given data,
1. r= 15m
2. r = 25cm
3. d = 30m
4. d = 10m
5. r = 7cm​

Answers

CIRCUMFERENCES

1. 94.25 m
2. 157.08 cm
3. 94.25 m
4. 31.42 m
5. 21.99 cm

Look at the cylinder.

What is the total surface area?

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D is the correct answer, 130 pie in squared.

How many small cubes, with a side length of 1/2 cm, will fill the larger rectangular prism below?

Answers

Answer:

15 cubes

Step-by-step explanation:

The volume of a rectangular prism is given as :

V = Lenght * width * height

V = 3/2 * 5/2 * 1/2

V = 15 / 8 cm³

Volume of a cube = a³

Where, a = side length of cube

a = 1/2 cm

V = a³ = (1/2)³ = (1/2 * 1/2 * 1/2) = 1/8

Volume of pyramid / volume of cube

15 / 8 ÷ 1 / 8

15 / 8 * 8 / 1

= 15

Lance purchased 6 songs and spent $9.
Erika purchased 8 songs and spent $12.
If each of song costs the same amount of
money, what is the constant of
proportionality between the money spent
and the number of songs downloaded?

A. 0.75
B. 1.5
C. 2
D. 3

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The answer to this question would be C im pretty sureee!!

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the answer is 80% because percentage wise, 100 would be equivalent to 5 so 100divided by 5 would make it 20 every 1, so 20x4 is 80%

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Answer:

what's your question mean I don't understand it

Step-by-step explanation:

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An artist charges $5 for each person in a cartoon drawing. Write an algebraic expression for the cost in dollars for a drawing that includes P people.

Giving Out Brainliest
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Answer:

An artist charges $5 for each person in a cartoon drawing. Write an algebraic expression for the cost in dollars for a drawing that includes P people.

Step-by-step explanation:

WILL MARK BRAINLIEST!!!

Solve for the listed Angles of the circle. Question in the picture

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Wollllllllyyyyy d-d-d-d-d-Dora

Once again, I'm asking for assistance in this problem. I thought it was 1/6 but I'm unsure. Someone help. The number next to 2/5 is 1/5.​

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Answer:

Equation of the parabola:  or

Vertex form:

Intercept form:Step-by-step explanation:

The blue dot is at what value on the number line?
I'm really desperate, please help me. I'll give the person who has the correct answer brainliest.

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Answer:

-19

Step-by-step explanation:

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A semi-circle with a diameter of 6 cm sits on top of an isosceles trapezoid. Find the area of the entire figure.

Answers

Answer:

                                     

Step-by-step explanation:

Convert 69 g/cm to kilograms per meter (kg/m).

Answers

Answer:

69g/cm is 6.9kg/m

Step-by-step explanation:

[tex]1 g --> \frac{1}{1000}kg\\\\69g --> \frac{69}{1000}kg\\\\1cm --> \frac{1}{100}m\\\\\frac{69 g}{1cm} = \frac{\frac{69}{1000} }{\frac {1}{100}} = \frac{69}{1000} \times \frac{100}{1} = \frac{69}{10} = 6.9kg/m[/tex]

Answer:

[tex]69 \: g {cm}^{ - 1} \\ 69 \times {10}^{ - 3} \times ({10}^{ - 2} ) ^{ - 1} kg \: {m}^{ - 1} \\ 69 \times {10}^{ - 1} \: kg {m}^{ - 1} \\ 6.9 \: kg {m}^{ - 1} [/tex]

Stuart throws a biased coin 10 times.
He gets 7 Tails.
Maxine throws the same coin 50 times.
She gets 30 Tails.
Prasha is going to throw the coin once.
(i) Whose results will give the better estimate for the probability that she will get Tails,
Stuart's or Maxine's?
You must give a reason for your answer.

Answers

Answer:

Below.

Step-by-step explanation:

1. Prasha's result is better as she tossed the coin the most times.

The result which gives a better estimate of obtaining tail is that which provides a greater probability, hence, Stuart's result is better.

Recall :

Probability = required outcome / Total possible outcomes

Stuart's throw:

Number of tails = 7Number of throws = 10

P(Tail) = 7/10 = 0.7

Maxine's throw :

Number of throws = 50Number of tails = 30

P(Tail) = 30 / 50 = 0.6

The result with higher probability gives the better estimate of obtaining tail.

Therefore, Stuart's result will be a better estimate.

Learn more : https://brainly.com/question/18153040

Find the common difference of the arithmetic sequence -16 -13 -10

Answers

Answer:

3

Step-by-step explanation:

-16+3= -13

-13+3= -10

the next number would be -7

A sample of 1,000 adults showed that 31% of them are
smokers. To estimate the proportion of people in the entire population who smoke, what additional information would you need?

Select one:

A. The size of the population

B. The length of time the people smoked

C. All the information you need is contained in the problem

D. The amount of confidence you desire in your estimate

Answers

Answer:

C. All the information you need is contained in the problem.

310 people of 1000 people smoke.

Step-by-step explanation:

[tex]\frac{y}{1000}: \frac{31}{100}[/tex]

y · 100 = 31 · 1000

100y = 31000

100y ÷ 100 = 31000 ÷ 100

y = 310

Help pls I’ll give extra points

Answers

Answer:

a

Step-by-step explanation:

you are correct it is a (decreases) when objects move farther away the strength of the force becomes less.

someone please tell me this answer!!

Answers

72

Explanation:
Volume of cuboid = 2 x 4 x 6 = 48 in3
Volume of pyramid = 1/3 x (4 x 6) x 3 = 24 in3
Total volume = 48 + 24 = 72 in3
This is 72
…………………….
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