Suppose the mean income of firms in the industry for a year is 90 million dollars with a standard deviation of 15 million dollars. If incomes for the industry are distributed normally, what is the probability that a randomly selected firm will earn less than 109 million dollars? Round your answer to four decimal places.

Answers

Answer 1

Answer:

0.8980 = 89.80% probability that a randomly selected firm will earn less than 109 million dollars

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Distributed normally, mean of 90 million, standard deviation of 15 million.

This means that [tex]\mu = 90, \sigma = 15[/tex]

What is the probability that a randomly selected firm will earn less than 109 million dollars?

This is the pvalue of Z when X = 109. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{109 - 90}{15}[/tex]

[tex]Z = 1.27[/tex]

[tex]Z = 1.27[/tex] has a pvalue of 0.8980

0.8980 = 89.80% probability that a randomly selected firm will earn less than 109 million dollars


Related Questions

What is the approximate area of the shaded region in the given square containing 2 semicircles? (Use * 3.14.) 10 cm 0 21.5 square centimeters O 50 square centimeters O 78.5 square centimeters O 100 square centimeters

Answers

Answer:

yes

Step-by-step explanation:

bcuz

Answer:

Subtract the circle from the square

Step-by-step explanation:

(10× 10) - 25pi

Each triangle in the net below has a base of 6 centimeters and a height of 8 centimeters. What is the surface area, in square centimeters, of the figure represented by the net? helpppppp i need help pls

Answers

The area of a triangle is 1/2 x base x height.

The area of the triangle is 1/2 x 6 x 8 = 24 square cm.

There are 4 identical triangles so 24 x 4 = 96 square cm.

The area of the square base = 6 x 6 = 36 square cm.

Total area = 96 + 36 = 132 square cm.

2/5 of 16= (estimate each product)

Answers

Answer:

6.4 rounds down to 6.

Step-by-step explanation:

Divide 16 by 5. Multiply that number by 2.

Will give brainly Simplify 5/10

Answers

1/2 , 5 is half of 10 and if you divide each number by 5 you get 1/2

Hank has 4 green marbles for every 9 red marbles. If hank has 39 total marbles, how many green marbles does he have? pls answer ASAP it for assignment

Answers

He has 12 green marbles. 4+9=13 and 39/13=3 so 4x3=12. to check, we can do 9x3=27 as well and add our results. 12+27=39 so we know we are correct.

Answer:

12 green marbles

Step-by-step explanation:

in this case we have to add the the green marbles as 4 and red marbles as 9

so, 4 + 9 = 13 and divide the total marbles to it

so, 39/13 = 3

so, here we have 3 times marble in 13 green marble to get the total number

so, 3 (13)

so, in this case we have to separate the green and red

so, 13 as ( 9 red + 4 green)

so,3 times  ( 9 red + 4 green)

in this case we can use distributive property of multiplication

so, 3 times 9 red = 27 is the total red marbles

and 3 times 4 green = 12 is the total green marbles

to check the answer we have to add this two

so, 27 red marbles + 12 green marbles = 39 total marbles

so, that's why it is 12 green marbles

Please mark me as brainliest

2[tex]\sqrt{64[/tex]

Answers

the answer is 0.03125

I WILL GIVE YOU 100 points and Braine at Math Properties of Equality, Part 2

For each expression, write an equivalent expression to show the

mathematical properties of equality.

Distributive Property:

6(m +4) = ?

Associative Property:

2 + (m + x) = ?

Commutative Property:

x + 3 = ?

Distributive Property:

3(2y - 6) = ?

Distributive Property:

m(y + 5) = ?

Answers

Answer:

1. 6(m + 4) = 6m + 24

2. 2 + (m + x) = (2 + m) + x

3. x + 3 = 3 + x

4. 3(2y - 6) = 6y - 18

5. m(y + 5) = my +5m

Step-by-step explanation:

1. Distributive property "distributes"/multiplies the 6 outside the parentheses to each term inside the parentheses.

2. Associative property deals with how terms and numbers are grouped into parentheses. The terms/numbers stay in the same order.

3. The commutative property means terms can change in order, and you will still get the same result.

4, 5. See #1 above. Distribute/multiply the number/term outside the parentheses to the numbers/terms inside.

Let me know if you have questions.

Determine whether the sequence converges or diverges. If it converges, find the limit. [Hint:
consider limit laws, the Squeeze Theorem, behavior of related real-valued functions, etc.]
(a) an = 2 + (0.86)^n
(b) an =(4^n)/(1+9^n)
(c) an = arctan(ln n)

Answers

(a) converges; consider the function f(x) = a ˣ, which converges to 0 as x gets large for |a | < 1. Then the limit is 2.

(b) converges; we have

4ⁿ / (1 + 9ⁿ) = (4ⁿ/9ⁿ) / (1/9ⁿ + 9ⁿ/9ⁿ) = (4/9)ⁿ × 1/(1/9ⁿ + 1)

As n gets large, the exponential terms vanish; both (4/9)ⁿ → 0 and 1/9ⁿ → 0, so the limit is 1.

(c) converges; we know ln(n ) → ∞ and arctan(n ) → π/2 as n → ∞. So the limit is π/2.

Divide. Write your answer in simplest form. 9/2 / 1/4

Answers

Answer:

18

Step-by-step explanation:

9/2 / 1/4

keep 9/2

Change the operation to multiplication

flip 1/4 into 4 or 4/1

multiply on top and bottom and get 36/2

which 36/2 is 18 and 18 is the answer

Brainliest?

It has to be 18 use Socratic

Please help 30 points pls

Answers

Answer:

4.75b; 8

Step-by-step explanation:

Area of triangle: height ÷ 2 × base

38 = 9.5 ÷ 2 × b

    = 4.75 × b

38 = 4.75b

b = 38 ÷ 4.75

b = 8

Answer:

4.75 & 8

Step-by-step explanation:

Hope this helps

Determine the missing number in the equation 3+7=+4 ANSWER QUICKLY PLEASE

Answers

Answer:

-6

Step-by-step explanation:

3+7=10

10-6=4

so 3+7-6=+4

hope this helps

Answer:

6

Step-by-step explanation:

= means the same as

3+7 = 10

therefore 4 + ?=10

10-4=6

therefore the missing number is 6

=6

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Answers

Answer:

x = 8

y = 14

Step-by-step explanation:

2x + 6 = 4x - 10 (Corresponding angles so they're equal)

2x - 4x = -10 - 6

-2x = -16

x = 8

2x + 6 + 13y - 24 = 180 (Supplementary angles so they add up to 180)

2(8) + 6 + 13y - 24 = 180

16 + 6 + 13y - 24 = 180

13y - 2 = 180

13y = 182

y = 14

Answer:

2x+6=4x-10[corresponding angle]

16=2x

x=8

again

2×8+6+13y-24=180°[linear pair]

13y=180+2

y=182/13

y=14

X increased by 10 is equal to 42

Answers

Answer:

x = 32

Step-by-step explanation:

x + 10 = 42, then you subtract 10 from both sides to get 32

The answer is treh I hunk

A car travels 30 – miles in
304
of an hour. What is the average speed, in miles per hour,
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Answers

Answer:

45.3 miles/h

Hope this will help you

Step-by-step explanation:

45.3h miles

welcome







20 letters

Juice is on sale with the rule "buy one, get one half-off.” Write an expression two different ways to represent the cost of buying two containers of juice, j, on sale. Enter the correct answers in the boxes. ​

Answers

Answer:

34

24

Step-by-step explanation:

divide 25 by 3

In AQRS, the measure of _S=90°, SQ = 13 feet, and QR = 59 feet. Find the measure
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Answers

Answer:

Step-by-step explanation:

12.7


Rectangles always have congruent diagonals.
False
True
False

Answers

False because there is no diagonal part in the rectangle

A company's human resources department was interested in the average number of years that a person works before retiring. The sample of size 11 follows: Based on the values of the arithmetic mean, median, and mode, what is the most likely shape of the distribution

Answers

Answer:

hello your question is incomplete  below is the complete question

A company's human resources department was interested in the average number of years that a person works before retiring. The sample of size 11 follows: 12 16 18 19,21 21, 21,22 24 24 26What is the arithmetic mean, median and mode? what is the most likely shape of the distribution

answer :

i) mean = 20.36

ii) median = 21

iii) mode = 21

iv) The most likely shape is a Bell - shaped curve

Step-by-step explanation:

sample size = 11

values ( observations ) = 12, 16, 18, 19,21,21,21,22,24,24,26

i) mean

 = ∑ values / sample size = 224 / 11 = 20.36

ii) median

median is the value of the data located at the center of the string of data

to determine the middle position = ( n+1 / 2 )

where n = sample size

hence position of median value = 11 + 1 / 2 = 12 / 2 = 6

the value at the 6th position = 21 ( median )

iii) mode

mode = most repeated value in the series of data

hence mode value = 21

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Haoeiwhah63618463642

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Answers

Answer:

AC=30

BD=30

BE=15

AB=27

Answer:

AC = 30, BD = 30, BE = 15, AB = 27, BC = 13.1

Step-by-step explanation:

AC = AE * 2

BD = BE * 2

BE = AE

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Answers

Answer:

Step-by-step explanation:

I know what your thinking YOU DIDNT ANSWER!!!!! but think again i did, it is just an imaginary answer. dad jokeCRINGE!!!!!

Answer:

2 imaginary numbers

Step-by-step explanation:

x^2-7x+13=0

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Answers

Answer:

2

Step-by-step explanation:

1 + 1 = 2

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Justin is going to invest $31,000 and leave it in an account for 7 years.
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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

v= -19

Step-by-step explanation:

Solve for  V  by simplifying both sides of the equation, then isolating the variable.

Answer:

-19

Step-by-step explanation:

+19 -19 = 0

Therefore,

V = -19

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Answers

Answer:

your answer will be A.85°

Step-by-step explanation:

hope it helps you

have a great day!!!

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Answers

Answer:

0,012

Step-by-step explanation:

12 grams is 0.012 kilograms.

Hope this helps; have a great day!

Zander found these coins in his Couch

Answers

Answer:

91 cents

Step-by-step explanation:

3 quarters+3 nickel+1 penny=91 cents

Answer:

91 cents

Step-by-step explanation:

3 quarters=75c

3 nickels=15c

1 penny=1c

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Which function is best represented by this graph?

Answers

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

the -2 in the answer is the y intercept. 1/4 is the slop. rise over run, so up one and over four

WILL MARK BRAINLEST
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An estimate for the number of fish in the pond is
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Answer:

450fish estimate

Step-by-step explanation:

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3(5b+1)(5b-1)
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