Scores for a common standardized college aptitude test are normally distributed with a mean of 496 and a standard deviation of 110. Randomly selected men are given a Test Preparation Course before taking this test. Assume, for sake of argument, that the preparation course has no effect. If 1 of the men is randomly selected, find the probability that his score is at least 545.7. P(X > 545.7)

Answers

Answer 1

Answer:

0.3257

Step-by-step explanation:

Given an approximately normal distribution:

Z = (x - mean) / standard deviation

Mean = 496 ; Standard deviation = 110

For :

P(x > 545.7)

We obtain the standardized, Z score

Z = (545.7 - 496) / 110

Z = 49.7 / 110

Z = 0.4518

Hence, using the Z distribution table :

P(Z > 0.4518) = 1 - P(Z < 0.4518)

P(Z > 0.4518) = 1 - 0.67429

P(Z > 0.4518) = 0.32571


Related Questions

Ryan bought a new phone case that was originally $80, it is now on sale for $60. What was the percentage change?

Answers

Answer:  25% decrease

Step-by-step explanation:

80 - 60

-----------  =  20/80 = 1/4 OR 25%

   80

Hope this helped :)

The answer is 25% ... 25% off 80 = $60.00

Please Help Me!
*Question Is Below Here*

Answers

The product of this equation is 21 when the values of X and Y are imputed into the equation.

Answer:

21

Step-by-step explanation:

2^3=8

7x6=42

42x8=336

336/ (10.6+5.4)

336/ 16= 21

Answer 21


The ages of undergraduate students in a state in a particular year approximately follows a normal distribution, with a mean
age of 20.6 years and a standard deviation of 1.3 years.
If the total number of undergraduate students in the state is 430,000, how many students are aged 19 years or more?
A)
123,000
B)
223,000
C)
313,000
D)
383,000

Answers

Answer is b hope this helps

Formula to find commission​

Answers

A commission is a percentage of total sales,

multiply the rate of commission by the total sales

To find the commission you have to multiply the rate of commission by the total sales

42 42 52 53 58 58 61 what is the mean

Answers

Hello! the mean mean is 53 hope this helps!

Answer:

exact: 366/7

approximate: 52.3

Step-by-step explanation:

mean = (42 + 42 + 52 + 53 + 58 + 58 + 61)/7 = 366/7 = 52.3

Abby scored 87, 93, 96, and 89 on her first four history quizzes. What score does
Abby need to get on her fifth quiz to have an average of exactly 91 on her history
quizzes?

Answers

Answer:

73

Explanation

To find the average we need to find the mean. So you have

87,93,96, and 89. Add it up and you get 365. Next you have to divide it by how many numbers there are, so 365 divided by 5 and you get 73.

(I divided 365 by 5 because we are looking for the score she needs on the 5th quiz too.)

8).
9).
7). Degrees
Degrees
Degrees
A
77
Teacrerit20
HELP ASAP PLEASE

Answers

7. x= 47
8. x= 28
9. x= 26

Answer:

1) 47 degrees

2) 28 degrees

3) 26 degrees

Step-by-step explanation:

a triangle always equals 180 degrees, you add together the numbers you have then subtract it from 180 then you'll get your answer <3

part 1. Use side ratios to determine if the triangles in each pair of similar. If so complete the similarity statement. ​NO LINKS!!!

Answers

9514 1404 393

Answer:

  4) ΔEFG ~ ΔECD

  6) Not Similar

Step-by-step explanation:

4) Shortest to longest sides are ...

  EF : FG : GE = 14 : 16 : 20 = 7 : 8 : 10 (reduced)

  EC : CD : DE = 7 : 8 : 10

The triangles have the same side length ratios, so are similar.

  ΔEFT ~ ΔECD

__

6) Shortest to longest, the given sides have ratios ...

  UT : TV = 71 : 84 (reduced)

  GT : TH = 60 : 72 = 5 : 6 (reduced)

The side ratios are different, so the triangles are NOT SIMILAR.

Answer:

part 1. Use side ratios to determine if the triangles in each pair of similar. If so complete the similarity statement. NO LINKS!!!

How do I deposit more money into my bank account

Answers

Answer:

When you deposit cash at a bank or credit union, you typically need to use a deposit slip. That's simply a slip of paper that tells the teller where to put the money. Write your name and account number on the deposit slip (deposit slips are usually available at the lobby or drive-throug).

High value points! Please find the VALUE of x and y (my last problem for my work) please help!

Answers

Answer:

x=35

y=100

Step-by-step explanation:

x+15=50

x= 50-15

x= 35

y+30+50=180

y+80=180

y=180-80

y= 100

Plz help this is due today NO LINKS OR GROSS PICTURES OR I Will REPORT And please show work

Answers

Answer:

the volume is 120

Step-by-step explanation:

the formula for volume with length times width times height. Just multiply 3 x 5 x 8

find the surface area of each figure (spheres and hemispheres)

Answers

Answer:

7. 1520.53 cm²

8. 232.35 ft²

9. 706.86 m²

10. 4,156.32 mm²

11. 780.46 m²

12. 1,847.25 mi²

Step-by-step explanation:

Recall:

Surface area of sphere = 4πr²

Surface area of hemisphere = 2πr² + πr²

7. r = 11 cm

Plug in the value into the appropriate formula

Surface area of the sphere = 4*π*11² = 1520.53 cm² (nearest tenth)

8. r = ½(8.6) = 4.3 ft

Plug in the value into the appropriate formula

Surface area of the sphere = 4*π*4.3² = 232.35 ft² (nearest tenth)

9. r = ½(15) = 7.5 m

Surface area of the sphere = 4*π*7.5² = 706.86 m² (nearest tenth)

10. r = ½(42) = 21 mm

Plug in the value into the formula

Surface area of hemisphere = 2*π*21² + π*21² = 2,770.88 + 1,385.44

= 4,156.32 mm²

11. r = 9.1 m

Plug in the value into the formula

Surface area of hemisphere = 2*π*9.1² + π*9.1² = 520.31 + 260.15

= 780.46 m²

12. r = 14 mi

Plug in the value into the formula

Surface area of hemisphere = 2*π*14² + π*14² = 1,231.50 + 615.75

= 1,847.25 mi²

Another name for a hexahedron is O A. cube O B. cylinder O C. pyramid O D. equilateral triangle​

Answers

A. Cube is the answer

Franz must buy a minimum of $25 of art supplies to qualify for free shipping. He bought an easel for $15. He also bought 10 tubes of paint that all costs the same amount. *

Answers

Answer:

if each tube of paints costs a dollar he will get 25 because of the 15 dollars added to the 10 dollars

Step-by-step explanation:

hope this helps

Simplify −6+13x−7−16x

Answers

29
-1
-29x-1. You have no idea what if she has

Express tan(-310°) as a function of a positive acute angle in
terms of tan x

Answers

guessing

360 - 310 = 50

-tan(50)

The average amount of ozone in several cities across Pennsylvania was found in a study to correlate with the average number of asthma cases in those cities. What type of study was this

Answers

Answer:

Ecological study

Step-by-step explanation:

When the basis for the conclusion of a study is done an a group or population level rather than on a person, single or individual basis, then we refer to this as an ecological study. In the scenario described above, relationship between ozone in Pennsylvania and the number of asthma cases was generalized and presented on the mean or average level rather than being compared in terms of individual figure. Hence, research studies of this type or nature are classed as ecological study.

plzzzzzzzz help for a brainly

Answers

Answer:

50

Step-by-step explanation:

50+40=90 and that's what you need

Answer:

50

Step-by-step explanation:

it's a right triangle so it has to equal 90 and since there is a 40 you will need 50 to equal 90

The original price of a pair of shoes is $60. The sale price is 25% off the original price. What is the amount off of
the original price?

Answers

The price after the 25% would be $15
Or it will be $45 off

Bella invested $8,400 in an account paying an interest rate of 1.9% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $9890?

Answers

Answer:

8.6 years

Step-by-step explanation:

PLEAS HELP!!! The function f(x) = 500(0.75)^x represents the amount of a 500-mg dose of
medication remaining in a patient's system x number of hours from the time the patient
took the medication. Which percent is the rate of decrease of the medication?
A. 75%
B. 25%
C. 7.5%
D. 2.5%

Answers

the answer is b

cccxcxcxcxcxzczczxc

The percentage of the rate of decrease in the medication will be 75%. Option A is correct.

What is an exponential function?

The exponential function is characterized as a function that increases quickly and whose value is always positive. With the exponent y = aˣ, where a is the constant and a>1.

It is given that the function is,f(x) = 500(0.75)ˣ. The number x represents the number of hours since the patient took their medication.

f(x) = 500(0.75)ˣ

Compare the function with the standard function as

y=baˣ

Where b is the constant value, a is the percent of the rate of decrement and x is the time period,

The value of a for the given function will be 0.75. The value is in percentage form and can be written as,

=0.75 ₓ 100

=75%

Thus, the medication's rate of decline will be 75%. Option A is correct.

Learn more about the exponential function here:

brainly.com/question/11487261

#SPJ2

State that the triangles in each pair of similar. If so, complete the similarity statement, and find the scale factor for each one. (you may go either direction). NO LINKS!!!​ Part 1

Answers

9514 1404 393

Answer:

  ΔLMN ~ ΔLFG; scale factor 7/3

Step-by-step explanation:

The ratios of side lengths, shortest to longest are ...

  FG : GL : LF = 24 : 36 : 42 = 4 : 6 : 7 (reduced)

  MN : NL : LM = 56 : 84 : 98 = 4 : 6 : 7 (reduced)

The side ratios are the same, so ΔLMN ~ ΔLFG. The scale factor is ...

  MN/FG = 56/24 = 7/3

Answer:

State that the triangles in each pair of similar. If so, complete the similarity statement, and find the scale factor for each one. (you may go either direction). NO LINKS!!! Part 1

Shreman drew a shape with these properties: •Four sides •Four right angles •Two sides have different lengths​

Answers

Answer: the shape is a rectangle

Step-by-step explanation:

Answer:

Rectangle :)

Step-by-step explanation:

Find two numbers a and b whose sum a+b is -3 and whose difference a−b is -5

Answers

Answer:

A=-4, b=1

Step-by-step explanation:

add those two function together u will got:

a+b+(a-b)=-3+(-5)

2a=-8

A=-4

-4+b=-3

B=1

please help !! i’ll give 5 stars if help.

Answers

Answer:

true

Step-by-step explanation:

there are two x-intercepts

Which list shows all the factors of 36?
1, 2, 3, 4, 6, 9, 12, 18, 36
1, 2, 3, 4, 8, 9, 12, 18, 36
2,3, 4, 6, 9, 12, 18
2, 4, 6, 8, 9, 12, 18

Answers

Answer:

Step-by-step explanation:

1,2,3,4,6,9,12,18,36

PLEASE HELPPP 7TH GRADE MATHHHH!! WILL GIVE BRAINLIEST!! NEED RN PLEASE

Driving down the highway in separate vehicles, two friends realized that there were mile markers along each side of the road. They counted ten green markers for every mile they traveled. They also counted 8 yellow markers for each green marker. They text to each other their observations and wondered who was driving faster. Dev said he saw 110 green markers in 20 minutes. Mike said she saw 88 yellow markers in 2 minutes. Based on their observations, who is traveling faster?

Answers

Answer:

mike because he saw more markers in a less time than dev did


A study finds that 80% of the local high school students text while doing homework. Ten students are selected at random from the local high
school. Which expression would be part of the process used to determine the probability that, at most, 7 of the 10 students text while doing homework?

Answers

Answer:

Step-by-step explanation:

How many tryouts weighed MORE THAN 450 grams?

Answers

Answer:

11

Step-by-step explanation:

Basically count each doubt that is on the number line with a value greater than 450

Answer:

11 trouts

Step-by-step explanation:

Count the dots that are after the 450-gram mark.

Trouts that weigh 452 = 5

Trouts that weigh 454 = 2

Trouts that weigh 456 = 2

Trouts that weigh 458 = 1

Trouts that weigh 460 = 1

Then, add everything up.

5 + 2 + 2 + 1 + 1 = 11

So, 11 trouts weigh more than 450 grams.

Have a wonderful day!

Candices 3 jumps were all the same length. Her total distance was 38ft. What was the length of each of her jumps?

Answers

Answer:

12.66

Step-by-step explanation: 38 divided by 3

Equals That.

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