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

Factor the expression (x+4)^2-4y^5(x+4)+4y^10

Answers

if you factor this,
it is (x+4-2y^5)^2

2. Lara collects shark's teeth. She has 72 teeth. She wants to put them in special cases. Each case can hold 10 teeth. How many cases should Lara buy? Draw a picture to find the answer. Then explain how you know your answer is correct.​

Answers

Answer:

Lara should buy 8 boxes

Step-by-step explanation:

To start we would need to do

72/10

since 72 isn't a multiple of ten we can round it down to 70, then do

70/10=7

since we still have two teeth, we can put them in their own box so

7+1=8

A sweater is marked down from $25 to $19. What is the percent of change?

Answers

hi

25X = 19

    X= 19/25

    X = 0.76

so new price is  0.76 % of former price. So it's has been reduce of  24 %  

let's check :    25 * (1-24/100 ) =  25 * 0.76 = 19

The sweater is marked down by 76%

Find 0% of 180

Find 100% of 180

Answers

Answer:

First one is 0

Second one is 180

Step-by-step explanation:

0% of any number is 0 so 0% of 180 is 0

100% of any number is the number itself, so 100% of 180 is 180

QUESTION 2
The equation for this problem is what? The business has 23 employees that work 8 hours per day at $10.62 per hour.


Answers

Answer:

10/8+10.62

23*8*10.62

10.62*8+23

23+8*10.62

Step-by-step explanation:

Either one of these, I hope this helps:)

Answer Please this would be a huge help. (About Math BTW)

Answers

Answer:

The measure of the angle( F is 150 °)

Step-by-step explanation:

[tex]210 + f = 360 \\f = 360 - 210 \\ f = 150 \: \: degree[/tex]

I hope that is useful for you :)

The Value of X________

Answers

Answer:

x = 59.5

Step-by-step explanation:

the angles  of a quadralateral equal 360 degrees, one angles is 90 degrees, the other i 151, 90 + 151 = 241, 360 - 241 = 119, 119/2 = 59.5, x = 59.5

If the y-intercept of your quadratic is (0,5) and your axis of symmetry is x=4,
determine a second point on your quadratic graph based on this information.

Answers

The axis of symmetry goes through the x-value. 4. So your equation for your axis of symmetry is going to be x equals. 0 (undetermined)

- branliest will be appreciated

Thanks

Find the area of the figure to the nearest tenth

A. 99.0 in.
B. 31.5 in.
C. 11.0 in
D. 155.5 in.

Answers

Answer:

155.5 is the answer

Step-by-step explanation:

Answer:

The correct answer is A) [tex]99.0 \ in.^{2}[/tex]

Step-by-step explanation:

Just took the test

hope this helps :)

Data Set A: 1 3 3 2 4 0 4 3 3 5 2

Data Set B: 3 5 5 4 6 1 6 6 6 6 5

Based on the distribution which data set best measures of center and spread?

Mean
[ Select ]
Median
[ Select ]
Quartiles
[ Select ]
Range
[ Select ]
Standard deviation
[ Select ]
Mode

Answers

Do you need the median for all of them?

30 mm
40 mm
What is the length of the hypotenuse?

Answers

Answer:

50 mm

Step-by-step explanation:

I remembered the 345 triangle, so it applies here.

In 32 days, a person saved $56. What was the person's average daily savings?

Answers

Answer: $ 1792

Step-by-step explanation:

What the person up top said

What is the vertex form of a quadratic?
A) y= a(x - h)^2+k
B) y= (x -a)(x - b)
C) y = ax^2 + bx + c
D) y = mx + b

Answers

The answer should be A) y=a(x-h)2+k

Assuming y>0, which of the following expressions is equivalent to 8√18y^2−5√50y^2
A. −y√2
B. 7y√3
C. 24y√3−25y√2
D. 2y√2

Answers

Answer:the answer is A

Step-by-step explanation:

What are the graphs vertex ?

Answers

There are two of theme dudgeon

What is the value of x?​

Answers

The horizontal value in a pair of coordinates: how far along the point is. The X Coordinate is always written first in an ordered pair of coordinates (x,y), such as (12,5). In this example, the value "12" is the X Coordinate. Also called "Abscissa" See: Coordinates.

If this doesn’t answer your question, then do you have any further information?

who is the best fnf mod character mine is sarvenette and ruv

Answers

Answer:

same my fav

Step-by-step explanation:

have a good day!!

Answer:Kapil or Matt

Step-by-step explanation: I would say Kapil better because of the DDR pad and his last Song Beathoven replicates beethoven virus. Matt Wiik 2 is great but can't beat

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

#SPJ2

Work out
m
and
c
for the line:
y
=
11
x

Answers

Answer: m=11

Step-by-step explanation:

PLEASE HELP ASAP . PLEASE

Answers

Answer:

18.3%

Step-by-step explanation:

18.3% hoped this help!:)

In order for a chemical reaction to occur the Fahrenheit temp

Answers

SOLUTION: In order for a chemical reaction to take place, the fahrenheit temperature of the reagents must be atleast 149.25 degrees Fahrenheit.

Monique and Tara each make an ice-cream sundae. Monique gets 2 scoops of Cherry ice-cream and 1 scoop of Mint Chocolate
Chunk ice-cream for a total of 71 g of fat. Tara has 1 scoop of Cherry and 2 scoops of Mint Chocolate Chunk for a total of 73 g of
fat. How many grams of fat does 1 scoop of each type of ice cream have?

Answers

Answer:

the number of grams in cherry ice cream and mint chocolate is 23 grams fat and 25 grams fat respectively

Step-by-step explanation:

Let us assume the number of grams in cherry ice- cream be x

And, the number of grams in mint chocolate be y

Now as per the question

The following equations should be used

2x + y = 71  ................... (1)

x  + 2y = 73.................(2)

Multiply 2 in equation 1

So,

4x + 2y = 142

x + 2y = 73

3x = 69

x = 23 grams fat

And, y is

2(23) + y = 71

y = 25 grams fat

hence, the number of grams in cherry ice cream and mint chocolate is 23 grams fat and 25 grams fat respectively

A car travels 120 miles at the speed of 48 miles per hour. Find the time taken for the journey using the formula d = rt.
1 hour
2 hours
O 1.5 hours
O 2.5 hours

Answers

Answer:

2 hours

Step-by-step explanation:

Car travels from A to B at 60 miles/hour. Time of travel = 120/60 = 2 hour. Average speed of round trip = (120+120)/(2+3) = 48 miles per hour.

FOR 58 POINTS!!!
Angle H is half as large as angle J. Angle J is one fourth as large as angle K. Angle K has a measure of 240 degrees. What is the measure of angle H?

Answers

Answer:

30

Step-by-step explanation:

Which graph represents an exponential function?

Answers

Answer:

The second one

Step-by-step explanation:

If you know about hyper and Para bolas then the second one also know as a frowny fave parabola is a function

n is an integer such that -2 <n<3
Write down all the possible values of n.​

Answers

Answer:

................................

if x=8 and y= -3, evaluate the following expression: 20- 5y+ 2x

Answers

21 is the answer you are looking for.

Step-by-step explanation:

First, plug in the numbers for the variables:

[tex]20-5(-3) + 2(8)[/tex]

Then use order of operations to solve, begin with parenthesis:

[tex]20-15+16[/tex]

Subtract:

[tex]5 +16[/tex]

Add:

[tex]5+16=21[/tex]

So,

[tex]20-5y+2x=21[/tex]

The correct answer is 21

Find the volume of the pyramid below.

A. 1088
B. 1360
C. 7200
D. 2400​

Answers

Answer:

Answer is A

Step-by-step explanation:

add 8 x 8 x 17= 1088

la expecion del volumen​

Answers

Answer:

no hay imagen lo siento

Step-by-step explanation:

please help me fast , answer with explanation please!! I need answers for both ​

Answers

Answer:

(1) The angles are 81⁰, 76⁰, 23⁰ and y = 157⁰

(2) The angles are E = 122⁰, P = 40⁰, and Q = 18⁰

Step-by-step explanation:

(1)

Considering the first diagram;

(4x + 29)  + (5x + 11)   +   (2x - 3) = 180 (sum of angles in a triangle)

collect like terms together;

(4x  + 5x  +  2x)  + ( 29 + 11 - 3) = 180

11x + 37 = 180

11x = 180 - 37

11x = 143

x = 143 / 11

x = 13

The angles of this triangle are calculated as follows;

4x + 29 =  (4 x 13)  + 29  = 81⁰

5x + 11  = (5 x 13) + 11 = 76⁰

2x - 3 = ( 2 x 13) - 3 = 23⁰

y⁰ + (2x - 3) = 180 (sum of angles on a straight line)

y⁰ + 23⁰ = 180

y⁰  = 180 - 23

y = 157⁰

(2)

Considering the second triangle;

(15m + 17)  +   (7m - 9)   +   (4m - 10) = 180 (sum of angles in a triangle)

(15m + 7m + 4m) + (17 - 9 - 10) = 180

26m - 2 = 180

26m = 180 + 2

26m = 182

m = 182 / 26

m = 7

The angles of this second triangle are calculated as follows;

E: 15m + 17  = (15 x 7) + 17 = 122⁰

P: 7m - 9 = (7 x 7) - 9 = 40⁰

Q: 4m - 10 = ( 4 x 7)  - 10 = 18⁰

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