Assume that you have a choice between a manufacturing job and a sales job. The annual earnings from the manufacturing job will have a normal distribution with a mean of $40 000 and a standard deviation of $9 000. The annual earnings from the sales job will have a normal distribution with a mean of $35 000 and a standard deviation of $9 000. What is the probability that you would earn more than $45 000 per year if you select one or the other

Answers

Answer 1

Answer:

0.42124

Step-by-step explanation:

Manufacturing job :

Mean (m) = 40,000

Standard deviation (s) = 9000

Sales job :

Mean (m) = 35000

Standard deviation (s) = 9000

Probability of earning more than 45000 if one or the other job is selected;

Obtaining the standardized scores and probability for each :

Z = (x - m) / s

P(x > 45000)

Z = (45000 - 40000) / 9000 = 0.5555

= 0.56

P(Z > 0.56) = 0.28774(Z probability calculator)

For sales :

P(x > 45000)

Z = (45000 - 35000) / 9000 = 1.1111111

= 1.11

P(Z > 1.11) = 0.1335 (Z probability calculator)

0.28774 + 0.1335 = 0.42124


Related Questions

The administrators at the University of Oklahoma wonder if Oklahoma residents or non-Oklahoma residents differ in their excitement to go home for the holidays following final exams. They randomly select 100 Oklahoma residents and 100 non-Oklahoma residents for their study. They then ask all participants to rate their excitement level on a scale of 1-10. The mean excitement level for Oklahoma residents was 7.745, while the mean excitement level for non-Oklahoma residents was 7. They create the following 95% confidence interval for the mean difference: -1.78 to 3.27. Which of the following is the best way to interpret their results based on their confidence interval?
a. The administrators are 95% confident that Oklahoma residents are significantly more excited than non-Oklahoma residents to go home for the holidays.
b. The administrators are 95% confident that Oklahoma residents are significantly less excited than non-Oklahoma residents to go home for the holidays.
c. The administrators are 95% confident that Oklahoma residents significantly differ from non-Oklahoma residents in their excitement to go home for the holidays because their interval covers 0.
d. The administrators are unable to tell if there is a true difference between Oklahoma and non-Oklahoma residents in their excitement to go home for the holidays because their interval covers 0.

Answers

Answer:

d. The administrators are unable to tell if there is a true difference between Oklahoma and non-Oklahoma residents in their excitement to go home for the holidays because their interval covers 0.

Step-by-step explanation:

The confidence interval refers to a rabje of statistically calculated values used in establishing a certain level of confidence in the outcome of a data.

The confidence interval is calculated thus :

Mean ± (Zcritical * Error)

The ± sign ensures we have the lower and upper boundary of our confidence level.

From the confidence level given in the question : -1.78 to 3.27

Since 0 is contained in the confidence interval range given, then it can be concluded that the difference in excitement between Oklahoma and non oklahoma residents cannot be adequately established.

Determine if the graph of the quadratic equation opens up or down and is wider or narrower than the graph y=x?


y = -x? +2

Answers

Answer:

y = -x^2 +2

Step-by-step explanation:

? means like add something in. Like ^2 is what I added in.

https://brainly.com/question/20359398. This is what I learned after this chapter. (Concept.) You can learn about it and get ahead if they'll learn this.

estimate the quotients 123.8 divide by 62=

Answers

Answer:

Step-by-step explanation:

What is the perimeter of a rectangle with a height of 4 units and a length of 21 units?

A 75 units
B 44 units
С 25 units
D 50 units

Answers

Answer:

С 25 units

Step-by-step explanation:

hope this help

pick me as the brainliest

Answer:D

Step-by-step explanation:

Select all the expressions that are equivalent to 9 + 7x – 3y.

Answers

Answer:

9 – (–7)x – 3y

Step-by-step explanation:

because - * - = +

so 9 – (–7)x – 3y = 9+7x -3y

Which of the following equations are linear?
Hint: Two of them are linear.

1. y = 7/x
2. y = 3x + 4
3. 3x + 4y = 24

Answers

Final Answer: They are all Linear

Steps/Reasons/Explanation:

Question: Which of the following equations are linear?

1. [tex]y = \frac{7}{x}[/tex] Linear

2. [tex]y = 3x + 4[/tex] Linear

3. [tex]3x + 4y = 24[/tex] Linear

Because a linear equation is an equation of a straight line, it means that the degree of a linear equation must be 0 or 1 for each of its variables.

~I hope I helped you :)~

2/3 of a cake is divided between 6 friends. How much do they each get?

Answers

Answer:

4

Step-by-step explanation:

2/3 x6/1

Answer:

[tex]\frac{1}{9}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] ÷ [tex]\frac{6}{1}[/tex] = [tex]\frac{2}{3}[/tex] × [tex]\frac{1}{6}[/tex]

To change the ÷ sign to a × sign, swap the denominators and numerators of the second fraction.

[tex]\frac{2}{3}[/tex] × [tex]\frac{1}{6}[/tex] = [tex]\frac{2}{18}[/tex]

Directly multiply. Numerators with numerators and denominators with denominators.

[tex]\frac{2}{18}[/tex] = [tex]\frac{1}{9}[/tex]

Divide the fraction by 2 to simplify it.

Will give brainliest

Answers

Answer:

B

Step-by-step explanation:

I just know it.

PLS HELP MY GRADE DEPENDS ON IT

Image is attached below

Answers

Answer: the first one

Step-by-step explanation: head math

Solve using substitution.
- x - y = -1
X = 2

Answers

- 2 - y = -1
Add 2
-y = 1
Y = -1

Answer:

x = 2

y = -1

Step-by-step explanation:

-(2) - y = -1

add 2

-y = 1

divide by -1

y = -1

EMERGENCY PLEASE HELP! Which set of ordered pairs does not represent a function?
A. {(1,2), (7,8)}
B. {(-4,4),(-2,2),(-1, 1)}
C. {(1,1),(1,2)
D. {(-5,-4),(3,6)}
E. {(0,1),(1, 1), (2, 1)}

Answers

Answer:

c.

Step-by-step explanation:

The X value 1 is repeated

Oscar is selling tickets to a school play. Adult tickets cost $8 and student tickets cost $7. If he collected $245 by selling 34 tickets, how many adult and student tickets did he sell?

Answers

Answer:

Adult= 7 tickets

student= 27 tickets

Step-by-step explanation:

Step one:

let adult tickets be x

and students be y

Adult tickets cost $8 and

student tickets cost $7

So

[tex]8x+7y=245-----------1\\\\x+y=34-----------2[/tex]

Step two:

from equation 2

x=34-y

put the value of x in equation 1

[tex]8(34-y)+7y=245\\\\272-8y+7y=245\\\\272-y=245\\\\-y=245-272\\\\-y=-27\\\\y=27[/tex]

put y= 27 in equation 1

[tex]x+27=34\\\\x=34-27\\\\x=7[/tex]

For the right triangle shown, which equation is correct?
1. all answers are correct
2. cos(53) = x/16
3. cos(53) = sin(37)
4. sin(37) = 16/x

Answers

Answer:

3.37

Step-by-step explanation:

x+37+16+90=180

x+143=180

×=180-143

x = 37

How many Rubles are 40 cents? I will give Brainliest to the correct answer

Answers

Answer:

30.34

Step-by-step explanation:

Answer:

40 cents = 30.34 rubles

Step-by-step explanation:

1 us $ is 75.86 RUB ₽

0.40 * 75.86 = 30.34

15 people are expected for a dinner. Three ounces of corn serves one person. A can of corn is nine ounces. How many cans of corn should be bought for the dinner?

Answers

5 cans need to be bought. There are three servings in each can so you divide 15 by 3.

Answer:

5 cans need to be bought

Step-by-step explanation:

In each can, 3 people can be served. 3 × 5= 15

A mercury thermometer records a temperature of 10°F at 9 a.m. If the temperature drops by 3°F every hour, what will be the temperature by 2 p.m.?​

Answers

Answer:

No

Step-by-step explanation:

At the first game of the Major League Baseball season, a statistician keeps track of every pitch that a player throws during the game. The statistician reported that the mean pitch speed was 80 miles per hour (mph) and the standard deviation of the serve speeds was 10 mph. Assume that the statistician also gave us the information that the distribution of pitch speeds was mound- shaped and symmetric. What percentage of the player's serves were between 80 mph and 100 mph

Answers

Answer:

47.725%

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 80 mph

σ is the population standard deviation = 10 mph

For x = 80 mph

z = 80 - 80/10

z =0

Probability value from Z-Table:

P(x = 80) = 0.5

For x = 100 mph

z = 100 - 80/10

z = 2

Probability value from Z-Table:

P(x = 100) = 0.97725

Probability of the player's serves thay were between 80 mph and 100 mph is calculated as:

P(x = 100mph) - P(x = 80 mph)

= 0.97725 - 0.5

= 0.47725

The percentage of the player's serves that were between 80 mph and 100 mph is calculated as:

Converting to percentage:

0.47725 × 100 = 47.725%



I need help finding witch one is right

Answers

Answer:

I believe it's B!

Step-by-step explanation:

y=mx+b

y intercept is b

slope is m

y intercept is positive 5

slope is down 2 to the right 3

y= -2/3x+5

Answer:

The answer is B.

Step-by-step explanation:

In a slope form equation, y = mx + b where m represents gradient and b is y-intecept. In the graph above, the line shows a negative gradient and the y-intercept is 5. So the possible option is B.

plz help! will give brainliest!

Answers

x^6

When multiplying numbers in exponential form, if the number is the same, you can simply add the exponents:

x^2 * x^4 = x^(2+4) = x^6

16 liters to quarts (dry measure)

Answers

Answer:

16 litres =14.53 US qt dry

Step-by-step explanation:

Please mark my answer as a brainliest. ❤❤❤

What is 25% of 8. ??????????????????

Answers

Answer:

2

Step-by-step explanation:

1/4 of 8 = 25%

25% = 1/4

8 / 4 = 2

4 1/3 Divided by 1/2

Answers

Answer: 26/3

Explanation: Convert 4 1/3 which is 13/3

13/3 divided by 1/2

13/3 * 2

13/3 * 2= 26/3

What is the answer to 3/4x1/7

Answers

Answer:0.1072

Step-by-step explanation:

Siri

The lengths of the sides of a triangle are 15 cm, 20 cm, and 30 cm. What are the sides of the lengths of a similar triangle tat has a perimeter of 26 cm?

Answers

Answer:

6 cm, 8 cm, 12cm

Step-by-step explanation:

PLSSSSSS I NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Simplify the Expression:

[tex]\sqrt{9a^{2} }[/tex], if a<0

Answers

[tex]\sqrt{9a^{2}}=\sqrt{9}\sqrt{a^{2}}=3|a|[/tex]

As [tex]a < 0[/tex], [tex]|a|=-a[/tex], so [tex]3|a|=\boxed{-3a}[/tex]

Write the fraction as a decimal

4 -8
11

4 , and 8 over 11


Answers

Answer: 52

Step-by-step explanation:

11×4=44+8=52

Answer:

I'm pretty sure its 4.727

1
For every 2 teaspoons of white vinegar in a jar of homemade glue, there are 5 tablespoons of
cornstarch. How many teaspoons of white vinegar are there for every tablespoon of cornstarch?
A. 1
5
В.
C 1
D. 5

Answers

5 divided by 2 so it’s 2.5

The number of teaspoons of white vinegar are there for every tablespoon of cornstarch is 0.4.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, for every 2 teaspoons of white vinegar in a jar of homemade glue, there are 5 tablespoons of cornstarch.

The number of teaspoons of white vinegar are there for every tablespoon of cornstarch = 2/5

= 0.4

Therefore, the number of teaspoons of white vinegar are there for every tablespoon of cornstarch is 0.4.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ6

What is a unit rate? *
items of different measures being compared
a ratio in which the second value is one
a comparison of two quantities by division
0 This is a required question

Answers

Answer:

a ratio in which the second value is one

Step-by-step explanation:

Hope this helps!

Answer: How much of something per 1 unit of something else. Examples: • 100 cars pass by in 2 hours. The unit rate is 50 cars per hour. • You can paint 3 boards in half an hour. The unit rate is 6 boards per hour. • 200 sausages were eaten by 50 people. The unit rate is 4 sausages per person. • They need 5 m of thread to make 2 cm of cloth.

Step-by-step explanation: Just wanted to give a example if that doesn't help go to google and watch a video or do some reading about it!

Acardboard popcom container is shaped like a cone that is 11 inches high and has a radius of 2.5 inches What is the volume of the container? Use 3 14 for pi Round your answer to the nearest hundredth​

Answers

Answer:

71.99 in³

Step-by-step explanation:

The formula to apply is that of volume of a cone where;

V=π*r²*h/3  --------where V is the volume of the container, r is the radius of the container  and h is the height of the container

Given that : π=3.14 , r is 2.5 inches , h= 11 inches then apply values to the container as;

V= 3.14 * 2.5²* 11/3

V= 3.14 * 6.25 * 3.67

V= 71.9948

V= 71.99 in³

Answer:

Volume of Cone= 71.9583

Step-by-step explanation:

Volume of Cone= (1/3)πr²h

Volume of Cone= (1/3)×3.14×(2.5)²×11

Volume of Cone= 71.9583

Sam’s height is 1.58 m. His younger brother Tom’s height is 0.4 m less than his height. What is Tom’s height?

A)1.58 m B) 1.54 m C)1.98 m D) 1.18 m

Answers

I think it’s a.........

Sam's height= 1.58m

Tom's height= 0.4m less than Sam's

= (1.58- 0.4)m

= 1.54m

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