A bank's loan officer rates applicants for credit. the ratings are normally distributed with a mean of 200 and a standard deviation of 50. if an applicant is randomly selected, find the probability of a rating that is between 200 and 275. your answer should be a decimal rounded to the fourth decimal place.

Answers

Answer 1

Answer:

the probability of a rating that is between 200 and 275 is 0.4332

Step-by-step explanation:

Given the data in the question;

if an applicant is randomly selected, the probability of a rating that is between 200 and 275

mean μ = 200

standard deviation σ = 50

P( 200 < X < 275 ) = P( X-μ / σ  < x-μ / σ <  X-μ / σ )

P( 200 < X < 275 ) = P( 200-200 / 50  < x-μ / σ <  275-200 / 50 )

= P( 0/50 < Z <  75/50 )

= P( 0.00 < Z < 1.50 )

P(Z < 1.50) - P(Z < 0.0)

from the standard normal table

P(Z < 1.50) = 0.9332

P(Z < 0.0) = 0.5000

so

P( 200 < X < 275 ) = 0.9332 - 0.5000

P( 200 < X < 275 ) = 0.4332

Therefore, the probability of a rating that is between 200 and 275 is 0.4332


Related Questions

Is $20.29 with $4 dollar shipping more, or is $23.09 with 3 dollar shipping more? Help please, ASAP! :(

Answers

Answer:

23.09 w/ 3 dollar shipping is more.

Step-by-step explanation:

20.29 + 4 = 24.29

23.09 + 3 = 26.09

hope this helps :)

Answer:

23.09 dollars and 3 dollar shipping is more than 20.29 with 4 dollar shipping

Step-by-step explanation:

if you add the shipping and price together 23.09 dollars and 3 dollar shipping is 26.09 in total

And the 20.29 with 4 dollar shipping is 24.29 in total

and 26.09 is greater than 24.29, so 23.09 dollars and 3 dollar shipping is more than 20.29 with 4 dollar shipping

Which of the following is the equation of a line perpendicular to the line y =
-10x+1, passing through the point (5,7)?

Answers

Answer: The answer is C.

Step-by-step explanation: This is because when you solve you get y=1/10x+6.5 this graph runs through the point (5,7) and is perpendicular to y=-10x+1. In order for two equations to be perpendicular their slopes will be the opposite.

Evaluate 4(-9) i need help lol

Answers

Answer:

-36

Step-by-step explanation:

How are you in college lol

Answer:

Multiply  

4  by  − 9 .

− 36

Step-by-step explanation:

2 3/4 divided by 1 7/8

Answers

1.46 I used a calculator

Answer: 1.46666667

Step-by-step explanation:

what single decimal multiplier would you use to decrease by 7% followed by a 20% decrease

Answers

Answer:

x 0.27

Step-by-step explanation:

if they are both decreasing then just add the two percentages together then divide by 100 to give you your decimal answer

It would be 0.27 :)


Hope it helped hehe

Find the area of each figure in square units pls pls pls help ☝️​

Answers

Answer:

24u^2

Step-by-step explanation:

Divide the figure into two quad-l's.

5x4

2x2

------

20

4

-----

24

-----

The answer is 24 units squared.

Hope this helped!

Samuel entered the following key strokes on his calculator. What did Samuel’s calculator display? A. 2.5E – 13 B. 2.5E – 4 C. 2.5E5 D. 2.5E14

Answers

Answer:

Step-by-step explanation:

I believe the answer would be 2.5E14- (D)

I hope that helped!!

In the case above about Samuel, we can say that Samuel's calculator has display option A;  2.5 E (- 13)

What is the calculation about?

The function was 5 EE (-) 9 divided by 2 EE 4

5 EE (-) 9/ 2 EE 4

We know that, E implies 10 to rise to power.

So, the equation above is Converted from scientific notation into standard form;

= 5 EE (-) 9/ 2 EE 4

= 5/2  x 10 ⁻⁹⁻⁴

=2.5 x 10⁻¹³

Therefore, In the case above about Samuel, we can say that Samuel's calculator has display option A;  2.5 E (- 13)

Learn more about calculator from;

brainly.com/question/2146941

#SPJ2

-52=-0.8k need a answer

Answers

Answer:

k is 65

Step-by-step explanation:

isolate the variables by dividing each side by factors that don't contain the variable

I think 65 or 66 one of those :)

For ABC, let a = 80, b = 71, and c= 63. Then mC =​

Answers

Answer:

c= 37

Step-by-step explanation:

it is the sum of angle of triangle

30 kilograms of beans costs $5. How many kilograms of beans can you buy for $20?

Answers

Answer:

120 kg

the kilograms of beans which can by for $20 are

30*(20/5) = 30.4 = 120 (kg)

Answer: 120 kilograms

Step-by-step explanation:

We can buy 30 kilograms of beans for $5 dollars. We need to find how many kilograms of beans we can buy for $20.

The first step is to divide 20 by 5. Then, using the quotient, we can multiply it by 30 to see how many kilograms of beans we can buy for $20.

20 ÷ 5 = 4.

4 x 30 = 120.

Therefore, we can buy 120 kilograms of beans for $20.

Cool beans ;)

(25m + 22) + (9m) = ?​

Answers

Answer:

Step-by-step explanation:

Simplifying

25m + 22 = 9m

Reorder the terms:

22 + 25m = 9m

Solving

22 + 25m = 9m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-9m' to each side of the equation.

22 + 25m + -9m = 9m + -9m

Combine like terms: 25m + -9m = 16m

22 + 16m = 9m + -9m

Combine like terms: 9m + -9m = 0

22 + 16m = 0

Add '-22' to each side of the equation.

22 + -22 + 16m = 0 + -22

Combine like terms: 22 + -22 = 0

0 + 16m = 0 + -22

16m = 0 + -22

Combine like terms: 0 + -22 = -22

16m = -22

Divide each side by '16'.

m = -1.375

Simplifying

m = -1.375

The attendance at a new weekly exercise class doubled each week until week 4, when it reached its maximum capacity of 24 people

Answers

Answer:

Half Maximum capacity a week 3. And the class started off with 3 people.

Step-by-step explanation:

Please HELP Me! 15 Points Help e, please

Answers

Answer:

1260 sq yds

Step-by-step explanation:

slope side  +     vertical side  +     bottom side   +          both ends

(32x15)       +     (32x12)           +        (32x9)         +          (9x12x0.5)(2)=

480+384+288+108=1260

You are flying 2586 miles from San Francisco to New York.

The pilot looks at the speedometer on the plane and it reads 615 mph. This is a measure of the
a Average Speed
b Instantaneous Velocity
c Average Velocity
d Instantaneous Velocity

Answers

Answer:

Instantaneous Velocity

Step-by-step explanation:

It's instantaneous because the speedometer only shows the plane's current speed.

Cisco is building a container for his plants. It is made out of a cube and two cylinders. He plans to paint each surface, but cuts off the top of the two cylinders. He also wants to reinforce all the edges before putting it together. Which one is greater, the number of surfaces he has to paint, or the number edges he has to reinforce

Answers

Neither because if he has 2 cylinders/surfaces and a cube/point he cuts the cylinders and now has 4 surfaces and a cube has 4 points ( 4 surfaces 4 points )

7r+4r+10s what is the answer

Answers

Answer:

11r + 10s

Step-by-step explanation:

11r+10s you can only simplify

1. Oceanside Bike Rental Shop charges $16 plus $6 an hour for renting a bike. Melanie paid $70 to rent a bike. How many hours did she pay to have the bike checked out? Select the correct equation to represent this situation.

A) 16x+6x=70
B) 16+ 6x=70
C) 16x+6=70

2. Jason bought 9 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 42 cards left. How many cards did Jason start with? Select the correct equation to represent this situation.

A) 1/2(x+9)=42
B) 9x+1/2=42
C) 1/2x+9=42

3. Jason sold half of his comic books and then bought 6 more. He now has 17. How many did he begin with? Select the correct equation to represent this situation.

A) 1/2(x+6)=17
B) 1/2x+6=17
C) 1/2x+6x=17

4. Dan spent half of his allowance going to the movies. He washed the family car and earned $9. What is his weekly allowance if he ended with $15? Select the correct equation to represent this situation.

A) 1/2x+9=15
B) 1/2(x+9)=15
C) 9-1/2x=15

Answers

Answer:

1 = C

2 = B

3 = B

4= C

Step-by-step explanation:

Im not 100% sure but.. i tried

Answer:sike i lied i must provide

Step-by-step explanation: its ez just do it

Lucas loses 12 points for every shot he misses in a basketball video game. If Lucas missed 8 shots, how many
points did he lose?

It’s multiplying signed numbers

Answers

Answer:

96

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

8 times 12 is how you get it since he missed 8 and you lose 12 points every shot missed you just have to multiply them



Apply the distributive property to create an equivalent expression.
6(5x – 3)=

Answers

Answer: 30x-18

Step-by-step explanation:

What is the sale price of a hardcover book with a markdown of 46% and original price of 29.00 what is the discount amount

Answers

Answer:

15.66

Step-by-step explanation:

First you find what is 46% of 29.00 which is 13.34

Next do 29-13.34 and that is 15.66

that is your answer hope I helped.   :)


A line that includes the points (-9, h) and (-8, 9) has a slope of 10. What is the value of h?

Answers

Answer:

-1

Step-by-step explanation:

Use the rule y2-y1 / x2-x1

y1 = h

y2 = 9

x1 = -9

x2 = -8

so you get

9-h / (-8) - (-9) = 10

cross multiply to get

9-h = 10

so -h = 10-9

so h = -1

Select ALL expressions that are equivalent to 5x−3x−8+4+2x

Answers

Answer:

Where the picture of your work?

The answer is 4 (x-1)

Due to your severe pain, the doctor tells the nurse to give you 825 mg of pain medicine every 6 hours. You also hear the nurse say that the medication comes in 250-mg tablets. How many tablets should she give you every 6 hours? (Round to tenths, if necessary.)

Answers

Answer:

3

Step-by-step explanation:

divided 825 by 250 which give you 3.3

She would have to give you 3.3 tablets.

The math is 825 divided by 250 is 3.3.

Will someone please answer these problems?? I need them done ASAP!!!!!!

Answers

Answer:

Step-by-step explanation:

1. 10/15 = 2/3. Similar.

2. 101/151 ≠ 100/150. Not similar.

3. 10/20 = 7/14 = 4/8. Similar

4. 6/3 = 7/3.5 = 7/3.5 Similar

Given that L is a linear function, L (5) = 100 and L (9) = 150.
a. Determine the value of L (13)

Answers

Answer:

L(13) = 200

Step-by-step explanation:

Linear function:

A linear function has the following format:

[tex]y = mx + b[/tex]

In which m is the slope(how much y changes when x changes by 1) and b is the y-intercept(value of y when x = 0).

Finding the slope:

L (5) = 100 and L (9) = 150.

The slope is given by the change in the output(L, which is equals to y in the general formula) divided by the change in the input(x).

Change in the output: 150 - 100 = 50

Change in the input: 9 - 5 = 4

Slope: [tex]m = \frac{50}{4} = 12.5[/tex]

So

[tex]y = 12.5x + b[/tex]

L (5) = 100

So [tex]y(5) = 100[/tex], which means that when [tex]x = 5, y = 100[/tex], and we use this to find b.

[tex]y = 12.5x + b[/tex]

[tex]100 = 12.5*5 + b[/tex]

[tex]b = 100 - 12.5*5[/tex]

[tex]b = 37.5[/tex]

So

[tex]L(x) = 12.5x + 37.5[/tex]

a. Determine the value of L (13)

L when [tex]x = 13[/tex]. So

[tex]L(13) = 12.5*13 + 37.5 = 200[/tex]

Select the correct answer. What is 2 1/2 divided by 1/3? A. 3 1/2 B. 7 1/2 C. 7 1/6 D. 2/15

Answers

Hello,

The answer is:
7 1/2

Hope this helped :)

Answer:

the answer is 7 and a half so it would be B

Find two consecutive numbers whose sum is 55

Answers

Answer:

27 and 28

Step-by-step explanation:

Answer and Step-by-step explanation:

27 and 28.

27 plus 28 equals 55.

To know which numbers to use, we have to find two numbers that would produce a number that would include the digit of the second number in 55. Then, we find numbers that add up to 5, then minus by 1.

#teamtrees #WAP (Water And Plant)

Which set of ordered pairs satisfies the equation
f(x)=7x+20

Answers

Answer:

The 2nd one

Step-by-step explanation:

2 one I think sorry if I’m wrong

URGENT NEED ANSWERS •_•

Answers

9. 130 = x + 137
answer x = -7

10. 9x-3 = 4 + 8x
9x = 7 + 8x
answer x = 7

A student is taking a true/false quiz with 16 questions. The student has not studied and has an equal chance of answering True or False on each question. What is probability that the student will answer at least 12 questions correctly?

Answers

Chance of success

0.03841 or 3.84%

Step-by-step explanation:

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