According to the data released by the Chamber of Commerce of a certain city, the weekly wages of factory workers are normally distributed with a mean of $720 and standard deviation of $40. Find the probability that a worker selected at random from the city makes the following weekly wage. (Round your answers to four decimal places.)

Answers

Answer 1

Complete question :

a. Of less than$720?

b. Of more than $840?

c. Between $680 and $760?

Answer:

0.500 ; 0.0013 ; 0.6827

Step-by-step explanation:

Given that :

Mean, μ = 720

Standard deviation, σ = 40

P(Z < x)

x = (x < 720)

Obtain the standardized value of x

P(x < 720) = (x - μ) / σ

P(x < 720) = (720 - 720) / 40

P(x < 720) = 0

P(Z < 0) = 0.5

B.) More than $840

P(x > 840)

P(x > 840) = (x - μ) / σ

P(x > 840) = (840 - 720) / 40

P(x > 840) = 120 / 40 = 3

P(Z > 3) = 0.0013499 (Z probability calculator)

c. Between $680 and $760?

P(760 < x < 680)

P(760 < x < 680) = ((x - μ) / σ) - ((x - μ) / σ)

P(760 < x < 680) = ((760 - 720) / 40) - (680 - 720) / 40)) = P( Z < - 1) - P(Z < - 1)

P(680 < x < 760) = 0.84134 - 0.15866 = 0.68268


Related Questions

help me please! i’m giving brainliest. :)

Answers

Answer:

1,814,000 mg

Step-by-step explanation:

1 kg = 1,000 g

1 g = 1000 mg

1 kg + 814 g = 1,814 g

1,814(1000) = 1,814,000 mg

Which expression means the same as "the quotient of 8 less than x and 4"?
A. (x + 4) - 8
B. (x + 4) = 8
a
C. (8 - x) = 4
D. (x-8) + 4
o
E (x - 8) -4

Answers

I think the answer is E

Answer: E

Step-by-step explanation:

which of the following could be the length of the side of a triangle

A :3,10 and 15
B :3,1 and 2
C :11,9, and 20
D :10,4, and 12

Answers

I’d say B

Correct me if I’m wrong

2 x - 3 / 5 = - 1 / 10

Answers

Answer:

1/4

Step-by-step explanation:

2x=-1/10 + 3/5

2x=1/2

x=1/4

A recipe for cookies calls for 2/3 cups of sugar per batch Atlanta use 4 cups of sugar to multiply batches of cookies how many batches will she make

Answers

6

Step-by-step explanation:

Find the slope that passes through the points (1,4) and (-4,14)

A: 1
B: -2
C: 1/2
D: -1

Answers

Answer:

B:  -2

Step-by-step explanation:

14-4/-4-1 = 10/-5 or -2

Answer:

-2...................

A data set contains the values 1, 2, 5, 5, and 7.
The table shows the distance between each value and the mean of 4.
Data value
Distance between
value and mean
1
3
2
2.
5
1
5
1
7
3
Sum of distances 10
What is the mean absolute deviation (MAD) of the data set?

Answers

Answer:

2, The MAD is the MEAN STANDARD DEVIATION meaning it is the average of all the numbers distances away from the MEAN. you just add up all the distances and divide by how many there are.

What is x plsssss help

Answers

Answer:

x = 6 (brainliest..?)

Step-by-step explanation:

x² = 4(4 + 5)

x² = 36

x = 6

What is the value of x in the triangle?

Answers

Answer:

C) 7[tex]\sqrt{2}[/tex]

Step-by-step explanation:

in an isosceles triangle, the hypotenuse equals a leg multiplied by [tex]\sqrt{2}[/tex]

If right I’ll mark brainiest need ASAP

Answers

Answer

Step-by-step explanation: Anybody who help me I will mark brainliest in give you 180 points you have to go on my page in answer all my questions

does anyone do primavera online 8B i need help ASAP
lots of point

Answers

no I don't I'm sorry.....

Someone help need this to pass last question for today!

Answers

Answer: Reflection=simply flipping an object across a line without changing its size or shape. While Translation just slide a figure in any direction without changing its size, shape or orientation.

Hopes that helps have a blessing day/night :)

PLSS HELP ASAP!!
13 points when answered:) Thank you!!

Answers

Answer:

The wright answer is A

Step-by-step explanation:

[tex] \sqrt{20} = 4.47 \\ \frac{14}{3} = 4.67 \\ 4.47 < 4.5 < 4.67[/tex]

Which equation gives the sum of...
S=0.2/1-8
S=1/8-0.2
S=8/0.2-1
S=8/1-0.2

Answers

Answer:

Option D

S=8/1-.2

Step-by-step explanation:

Edg

The sum of the sequence will be S = 8 / (1 – 0.2). Then the correct option is D.

What is the sum of the geometric series?

Let a be the first term and r be the common ratio. Then the sum of the geometric series will be

S = a / (1 – r) if r < 1

S = a / (r – 1) if r > 1

The sum of [tex]\rm \Sigma_{n = 1}^{\infty} 8(0.2)^{n - 1}[/tex].

Then the first term of the geometric sequence will be 8.

And the common difference between the successive terms will be 0.2.

The common ratio less than one, then the formula for the sum will be given as

S = a / (1 – r) if r < 1

Then the sum of the sequence till infinity will be

S = 8 / (1 – 0.2)

S = 8 / 0.8

S = 10

Thus, the sum of the sequence will be S = 8 / (1 – 0.2).

Then the correct option is D.

More about the sum of the geometric series link is given below.

https://brainly.com/question/2771750

#SPJ5

You have $5. You pay someone $3. You receive a gift of $4.

Answers

You have $6 in the end.

5 - 3 + 4 = 6

What is the volume of the rectangular prism?

Answers

Answer:

63

Step-by-step explanation:

The answer is ........ 63

A window is 12 feet above the ground. A ladder is placed on the ground to reach the window. If the bottom of the ladder is placed 5 feet away from the building, what is the length of the ladder?

Answers

Answers :

you will nees to use pythagorean theorem a^2 + b^2 = c^2

the a and b values will be 12 and 5 feet. So just plug them in and solve for c

12^2 + 5^2 = c^2

144 + 25 = c^2

169 = c^2 square root both sides

13 = c

so the ladder has a length of 13 feet.

62 x 37. How do I show my work help.

Answers

Step-by-step explanation:

62

x37

-------

434

+1860

--------

2294

which can be used to find the perimeter of the rectangle?

Answers

Answer:

Step-by-step explanation:

2 ( 5 plus 13)

Brainlist?

The probability that it will snow on Sunday is 3/5. The probability that it will snow on both Sunday and Monday is 3/10. What is the probability that it will snow on Monday, if it snowed on Sunday?

Answers

Answer:

1/2

Step-by-step explanation:

Probability of snowing on both Sunday and Monday= probability that it will snow on Sunday × probability that it will snow on Monday.

(and usually means multiply the probabilities while or implies addition of the probabilities).

Let probability of snowing on Monday be P

Hence 3/10=3/5× P

Hence P=(3/10) divided by (3/5) = 1/2

4x^2+ xy+81y^2 find the missing number

Answers

^ what that person said

Answer: (9y^4*x^6)^2

Step-by-step explanation: First you take the square root of 81, which is 9. Next, you divide 8 and 12 by 2. Lastly, you multiply everything together, and you get a final answer of (9y^4*x^6)^2. Do you do RSM?

What are some of the applications for exponential functions?
Designing identification tags
Conversion of measurements
Assigning phone numbers
Finding perimeter
Determining the number of subsets in a given set

Answers

Answer:

Option B and D are correct

Step-by-step explanation:

Exponential functions are really useful in the real world situation. They can be used to solve following

a) Population Models

b) Determination of area and perimeters

c) Determine time related things such as half life, time of happening of an event etc.

d) Useful for solving financial problems such as computing investments etc.

Hence, option B and D

Jerome is painting a rectangular toolbox that is 20 inches by 10 inches by 8 inches. and a tube of paint covers 300 square inches. What is the surface area? and how many tubes of paint should Jerome buy?

Answers

Answer:

He should buy 3 tubes of paint.

Step-by-step explanation:

20×10×8=880

880÷300=2.93

2.93≈3

So, Jerome should buy 3 tubes of paint.

Brainliest please!

A group of transfer bound students wondered if they will spend the same mean amount on texts and supplies each year at their four-year university as they have at their community college. They conducted a random survey of 54 students at their community college and 66 students at their local four-year university. The sample means were $947 and $1,011, respectively. The population standard deviations are known to be $254 and $87, respectively. Conduct a hypothesis test to determine if the means are statistically the same assume alpha is 0.05.

Answers

Answer:

We accept H₀. We don´t have enough evidence to support the difference between the two means

Step-by-step explanation:

Group 1 : Comunity College

Sample:

size  :   n₁  = 54

Sample mean    x₁  = 947

Sample standard deviation     s₁ = 254

Group 2 : Local University

Sample

size  :  n₂  =  66

Sample mean :  x₂  = 1011

Sample standard deviation    s₂  =  87

Significance level  α  = 0,05      α  =  5 %      CI = 95 %

Both samples are with n> 30 so we can use z table for the test

from z-table we find  z(c)  =  1,96

The problem statement establishes to run a hypothesis test to determine if the means are statistically the same  ( or different) then we use two-tail-test

Hypothesis Test

Null Hypothesis                        H₀             x₁   -  x₂  = 0 or    x₁  = x₂

Alternative hypothesis             Hₐ             x₁  -  x₂  ≠  0  or    x₁ ≠ x₂

To calculate

z(s)  =  (  x₁   -  x₂  ) / √ s₁²/n₁  + s₂²/n₂ )

z(s)  =  947  -  1011 / √  (254)²/54   +  (87)² / 66

z(s) = -  64  /√ 1194,74  +  114,68

z(s) =  - 64  / 36,185

z(s) =  - 1,77

Comparing modules of  |z(c)|  and |z(s)|

z(s) < z(c)

Then z(s) is in the acceptance region we accept H₀ . There is not enough evidence to support differences in the means of the two groups

what is the difference of -4-2 1/2?

Answers

-13/2
mixed number: -6 1/2
decimal: -6.5
i don’t know which one u want but yea

50 Points! Will give brainliest!

Answers

The answer is C

KLM~STU
From the positions you can find which angles are congruent

K~S
KL~ST
...Etc

Answer:

D.

Step-by-step explanation:

15–80÷4^2×2 as a expression using the order of operations.

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{Do PEMDAS}[/tex]

[tex]\large\text{Parentheses}[/tex]

[tex]\large\text{Exponents}[/tex]

[tex]\large\text{Multiplication}[/tex]

[tex]\large\text{Division}[/tex]

[tex]\large\text{Addition}[/tex]

[tex]\large\text{Subtraction}[/tex]

[tex]\mathsf{15 - 80\div4^2\times2}[/tex]

[tex]\mathsf{4^2}[/tex]

[tex]\mathsf{= 4\times 4}[/tex]

[tex]\mathsf{= \bf 16}[/tex]

[tex]\mathsf{15 - 80\div16\times 2}[/tex]

[tex]\mathsf{80\div16}[/tex]

[tex]\mathsf{= \bf 5}[/tex]

[tex]\mathsf{15 - 5\times2 }[/tex]

5 × 2 = 10

[tex]\mathsf{15 - 10}[/tex]

[tex]\mathsf{= \bf 5}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 5}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Help :)))))))
And branlist wil come!!

Answers

Answer:

y * 2.5 = x

Step-by-step explanation:

y= inch

x= conversion from inch to cm

In a random sample of 10 residents of the state of Florida, the mean waste recycled per person per day was 2.1 pounds with a standard deviation of 0.59 pounds. Determine the 98% confidence interval for the mean waste recycled per person per day for the population of Florida. Assume the population is approximately normal. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

Answers

answer ishsgsvdvdjuxgxvdbdhxudg

A store pay $120 for a bicycle. The store has a 60% markup policy. What is the selling price of the bicycle? (answer $192)
Use your answer from the above question to help answer this question!! The store is now going out of business and is selling all of the bicycles at a 30% discount. What is the sale price of the bicycle? (answer $134.4)

Use the information from the last two questions to help you answer this question. Will the store make money or lose money on the bicycle? How much?

Answers

Answer:

The store will make money for each option/event. For the first option, the store will earn extra $72. For the second option, the store will earn extra $14.4.

Step-by-step explanation:

120 x 1.6 = 192

192 x 0.7 = 134.4

For problem 1, the answer is $192

For problem 2, the answer is $134.4

The store will make money for each option/event.

192-120=72

134.4-120=14.4

Other Questions
If Westville has 15,200 households, predict the number of households that will have exactly 3 computers? Please answer I need help A pizza shop delivers an extra large pizza, which is sold for \$20$20dollar sign, 20, and costs the pizza shop \$12$12dollar sign, 12 to make. The pizza shop has a delivery policy that says if the pizza takes longer than half an hour to arrive, there is no charge. Experience has shown that delivery takes longer than half an hour only 10\%10%10, percent of the time.Let the random variable XXX be the pizza shop's profit for a randomly selected delivery order for one of these pizzas. Here is the probability distribution for XXX:Late On-time X=\text{profit}X=profitX, equals, start text, p, r, o, f, i, t, end text -\$12$12minus, dollar sign, 12 \$8$8dollar sign, 8P(X)P(X)P, left parenthesis, X, right parenthesis 0.100.100, point, 10 0.900.900, point, 90Given that \mu_X=\$6 X =$6mu, start subscript, X, end subscript, equals, dollar sign, 6, calculate \sigma_X X sigma, start subscript, X, end subscript.Round your answer to two decimal places.\sigma_X= X =sigma, start subscript, X, end subscript, equals dollars PLEASE HELP....I need a good grade... The president is meeting with chancellor of Germany. Which presidential role is he or she fulfilling? True or false? President Franklin Roosevelt was sworn in after President Kennedy's assassination. Solve the equation for x. You have $100 you have $100 to invest. If you can earn 12% interest, about how long does it take for your $100 investment to grow to $200? Suppose the interest rate is just half that, at 6%. At half the interest rate, does it take twice as long to double your money? Why or why not? How long does it take what is the value of 615 x 33 Can anyone please help me to do this with steps Please help ASAP and do it right please I have a E. Brainly will be awarded and five stars Use the words below. The Industrial Revolution occurred between 1760 and 1840. Many scientists agree that the Industrial Revolution fueled rapid growth in population. During this time, advances in technology made production of large quantities of food and clothing easier. Trains allowed people to travel greater distances. How could the Industrial Revolution have affected rapid growth in the population at this time? Mila and samuel had an equal amount of money for shopping. Mila spent $42 and Samuel spent $36. After that, Mila had 1/2 of what Samuel has left. How much money Milla had initially? Alex has 1.3 inches of string for his project. Chris has 2.56 inches of string. How much more string does Chris have than Alex? * What is toxicity testing? (3 sentences or longer) what is the differences Filipinos between Thai people A possible graph transformation f(kx) when 0 < k < 1 is? 3These headlines refer to the decision in which Supreme Court case?A Dred Scott v. SandfordB Gibbons v. OgdenWorcester v. GeorgiaMcCulloch v. Maryland Given a polynomial f(x), if (x + 7) is a factor, what else must be true Jay has an album that holds 500 hockey cards. Each page of the album holds 5 hockey cards. If 17% of the album is empty, how many pages are filled with hockey cards? Read the excerpt from "Why I Wrote 'The Yellow Wallpaper.'" The little book is valued by alienists and as a good specimen of one kind of literature. It has, to my knowledge, saved one woman from a similar fateso terrifying her family that they let her out into normal activity and she recovered. What does Gilman indicate is the impact of her work? Women are more likely to seek employment that satisfies them. Women are more likely to have a voice in their own treatment. Women are more likely to frighten their families in order to escape them. Women are more likely to read literature that they can relate to.