Mathematics College

A college-entrance exam is designed so that scores are normally distributed with a mean of 500 and a standard deviation of 100. You scored a 625. Calculate your z-score to the nearest hundredth (i.e. 2 decimal places).

z=

Answers

Answer 1

Answer: The required z-score = 1.25

Step-by-step explanation:

Let x be a random variable that denotes the scores in the exam.

The formula for z-score = [tex]\dfrac{X-\text{mean}}{\text{standard deviation}}[/tex]

As per given, we have

X= 625, mean=500, standard deviation = 100

Z-score = [tex]\dfrac{625-500}{100}[/tex]

i.e. Z-score = [tex]\dfrac{125}{100}[/tex]

i.e. Z-score =1.25

Hence, the required z-score = 1.25

Related Questions

What integer is the opposite of 32 degrees Celsius below zero?

Answers

Answer:

-32?

Step-by-step explanation:

What is the probability that a randomly selected date in the year 2021 is not in the month of October or
November?
Type your answer into the box as a decimal. Round to the nearest thousandth.

Answers

Answer:

0.833

Step-by-step explanation:

There are 365 days in 2021

There are 31 days in October

There are 30 days in November

(365-61)/365 = 0.833

what is the diameter of a circle with a circumference of 27 centimeters?

Answers

Answer:

diameter = 8.6 cm

Step-by-step explanation:

diameter = 27/π = 8.6 cm

Asap
It is for past paper that is due in tomorrow 29th

Answers

Answer:

(i) 22.5

(ii) 7.2

Step-by-step explanation:

(i)

AB:PQ = 2:5 = 1:2.5

So PQ is 2.5 times longer than AB.

PQ=2.5AB=(2.5)9=22.5

(ii):

Since the triangles are similar, their sides are in ratio to each other. So if PQ was 2.5 times longer than AB, QR must also be 2.5 times longer than BC:

QR=2.5BC

BC=QR/2.5=18/2.5=7.2

Amanda runs 7 miles in 80 minutes. At the same rate, how many miles would she run in 64 minutes?

Answers

Answer:

5.6 miles

Step-by-step explanation:

[tex]\frac{7}{80} =\frac{x}{64}[/tex]   Set up the proportion

[tex]7(64)=x(80)[/tex]  Cross multiply

[tex]448=80x[/tex]     Simplify

[tex]\frac{448}{80}=\frac{80x}{80}[/tex]    Divide both sides by 80

[tex]5.6=x[/tex]

PLEASE HELP!!
What value if m makes the equation true??
m+2m-6 =-12+2m
m=?????

Answers

I think m = -6, but im not 100% sure

server F, working 7 hours offers to join the group of five servers sharing their workload. If server F joins will the mean number of hours worked increase or decrease​

Answers

π I don’t really know the answer I’m really sorry

1.11. There are 37 girls and 39 boys going on a field trip with the drama club. At least 1 adult for
every 6 students will also go on the trip. Which correctly explains how to find the number of
adults needed for the trip?
(

Answers

Answer:

C

I have done the math on a calculator. :p

Answer:

C

Step-by-step explanation:

First you Just Divide

and the remainder

will be R4 and it's 76÷6

help please i really need this done

Answers

Answer:

x = 33°

Step-by-step explanation:

x = 180° - 80° - 67° = 33°

above ^^^ is the right answer. the guy above me :)

Select the correct graph.

Which graph represents function f?

Answers

Answer: top right graph

Step-by-step explanation: Put in calculator and you will find the answer

An earlier study determined that 60% of women older than age 50 have annual mammograms. To see if this proportion is still valid, we send surveys to 1000 women older than age 50. Of the 100 who respond, 70 say they have annual mammograms. What is the (estimated) current proportion of women older than age 50 who say they get annual mammograms

Answers

Answer:

The % of women above 50 having mammograms as devised from the survey is 70%.

Step-by-step explanation:

Given

60% of women older than age 50 have annual mammograms

Out of 1000 surveyed women of  age greater than 50, 100 women responded and out of these 100, 70 confirmed that they have annual mammograms

The % of women above 50 having mammograms as devised from the survey is 70%.

EVERYONE HELP SOS SOS I NEED YOUR HELP THIS IS AN EMERGENCY SOS
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How is X - 5 mathematically different from x > 5?

INCLUDE A REAL LIFE EXAMPLE IN YOUR RESPONSE AND YOU WILL RECEIVE A BONUS POINT AND MARKED BRAINLYEST ​​

Answers

Answer:

The result is different

Step-by-step explanation:

Hope this helps

X equals 5 in the first and x is greater than 5 in the second. This can translate to life by saying you need 5 points to get an 100 or u need to get more than 5 goals to win the game

Find the volume of the following figure using unit cubes.

Answers

Answer:

Volume : 94

Step-by-step explanation:

2(4 x 5) = 40

2(3 x 5) = 30

2(3 x 4) = 24

------------------

40 + 30 + 24 = 94

Please help very urgent

Answers

Answer:

Amplitude = 5.5 units

Domain = All Real Numbers

Range = [-11,11]; {y | -11 ≤ y ≤ 11}; greater than or equal to -11 and less than or equal to 11.

A) 45
B) 120
C)120
D) 60

Answers

Answer is B 50
Opposite sides are same

Drag the expressions into the order in which the expressions are listed from greatest value to least value. Place the expression with the greatest value at the top and the one with the least value at the bottom.
(5280×10)−(314×10)

5280−314

10.6× (5280 −314)

(5280−314)÷111

Answers

Answer:  1.  (5280 - 314) ÷ 1/11  2.  10.6 x (5280 - 314)  3.   (5280 x 10) - (314 x 10)  4.   5280 - 314

Step-by-step explanation:

I did the test!
Answer:

Greatest expression=10.6× (5280 −314)

Least expression= (5280−314)÷111

Step-by-step explanation:Definition of greatest value and least value

The greatest value is the maximum value in given observation and least value is the minimum value in the given observation.

Solution of first expression

[tex](5280*10)-(314*10)= 52800-3140\\=49660[/tex]

Solution of second expression

[tex]5280-314= 4966[/tex]

Solution of third expression

[tex]10.6*(5280-314)=53632.8[/tex]

Solution of fourth expression

[tex](5280-314)/111=44.74[/tex]

From the above observation we can observe that greatest and least value are 53632.8 (which is third expression ) and least value 44.74(which is fourth expression)

To know more about solving expression

https://brainly.com/question/23180795

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Which number best represents the probability that an event is very unlikely to occur?
A) 1.25
B) 0.50
C 0.97
D) 0.05
Helpppp fastttt

Answers

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bit.[tex]^{}[/tex]ly/3a8Nt8n

? Miss mama just say the answer

Enter the phrase as an algebraic expression.

the product of 38 and g

Answers

Answer:

38g

Step-by-step explanation:

Product means multiplication so:

The product of 38 and g is 38g

What decimal is equal to 3/4???? ANSWER FAST!!!!!!!!!!!1

Answers

Answer:

0.75

Step-by-step explanation:

What is 0.0475 converted to a percentage

Answers

Answer:

0.0475 = 4.75%

Step-by-step explanation:

Answer:

4.75%

Step-by-step explanation:

Look at the decimal number 0.0475 as 0.0475 out of one. Furthermore, percent means per hundred. So the task is to convert 0.0475 out of one to 0.0475 out of one hundred.

The equation to solve the problem is displayed below where x is the 0.0475 as a percentage.

[tex]\frac{0.0475}{1}[/tex]=[tex]\frac{x}{100}[/tex]

We solve the equation for x above by first multiplying each side by one and then multiplying each side by one hundred. Thus, the answer to 0.0475 as a percentage is:  4.75%

There are 9 cherry trees in Edgar's orchard, and he wants to plant more. It takes him an hour to plant each tree.
Let h represent the number of hours Edgar spent planting and c represent the total number of cherry trees he will have.

Answers

1: 1

3: 4

5: 9

7: 16

sorry if this doesn't make sense if it does i hope it helped:)

please help me.. I don't understand what it is..

Answers

9514 1404 393

Answer:

  22.6

Step-by-step explanation:

The diagonal of the square is they hypotenuse of an isosceles right triangle with sides of 16 inches. The Pythagorean theorem tells you its length (d) is ...

  d^2 = 16^2 +16^2 = (16^2)(2)

Taking the square root, we have ...

  d = 16√2 ≈ 22.6 . . . . inches

Is this relationship proportional or non proportional

Answers

Non-proportional because all the dots are scattered I believe a proportional chart will have a straight line please correct me if I’m wrong :)

The first sequence rule is add 5 starting from 20. The second sequence rule is subtract 7 starting from 56. What is the first number that appears in both sequences?

25
28
42
35

Answers

Answer:

35

Step-by-step explanation:

its the 4th step your welcome

20-25-30-35

56-49-42-35

Answer: 35 I got it correct on the quiz

Step-by-step explanation:

A number squared, then increased by 4, I need the equation.

Answers

See order to find out ave dvide is to research and hive

A jewerler had a fixed amount of gold

Answers

Answer:

ohhhhh and who is the jeweler

Hey guys, I really need help with this question!Please no links, or I will report! Dont answer if you dont know please! ​

Answers

The second option :)

What is the image point of (-9,-2) after the transformation T-2,-5

Answers

Answer:

(-11, -7)

Step-by-step explanation:

The original point is (-9,-2)

The transformation you have to do is (x-2 , y-5)

This makes it so that you move the original point 2 units to the left (as a negative sign in the x value is towards the left side where the negative units are) and 5 units downwards (as a negative sign in the y value is on the negative side of the y-axis which is down)

So, your final answer would be (-9-2,-2-5) which is (-11,-7)

Find the Area of the figure below, composed of a rectangle with a semicircle removed
from it. Round to the nearest tenths place.

Answers

Answer:

69.9 sq units

Step-by-step explanation:

find area of entire rectangle then subtract out area of semi-circle

(14 x 6) - (3²π ÷ 2)

84 - 14.1 = 69.9

69.9

Step-by-step explanation:

Triangle ABC maps to triangle A′B′C′ by a 90∘ rotation counterclockwise about the origin.

If AB=61 units, BC=11 units, and AC=60 units, what is the length of A′C′?
11 units
61 units
90 units
60 units

Answers

Answer:

60 Units

Step-by-step explanation:

The length of AC does not change. Since the translation is a rotation, nothing about the size of the triangle should change. Meaning A'B'C' is still 60 units in length.

The length of the side A'C' of the triangle after rotation is A'C' =AC = 60 units

What is Rotation?

The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.

90° clockwise rotation: (x,y) becomes (y,-x)

90° counterclockwise rotation: (x,y) becomes (-y,x)

180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)

270° clockwise rotation: (x,y) becomes (-y,x)

270° counterclockwise rotation: (x,y) becomes (y,-x)

Given data ,

Let the triangle be represented as ΔABC

Now , the measures of the sides of the triangle are

The measure of side AB = 61 units

The measure of side BC = 11 units

The measure of side AC = 60 units

And , the triangle is rotated by 90° counterclockwise  about the origin

The coordinates of the triangle after rotation is A'B'C'

And ,

The measure of side A'B' = 61 units

The measure of side B'C' = 11 units

The measure of side A'C' = 60 units

The length of the sides of the triangle does not change during a transformation of rotation by any degree

Hence , the measure of side A'C' of triangle is 60 units

To learn more about rotation click :

https://brainly.com/question/3956347

#SPJ3

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