Mathematics College

a set of data items is normally distributed with a mean of 60. convert the data item to a z score if the standard deviation is a as given. data item : 56 standard Deviation 4
A. 4
B. -1
C. 1
D. -4

Answers

Answer 1
C

(z - x) / s (standard dev)
(60-56)/4
= 4/4
= 1
Answer 2

The z-score for data item 56, with a mean of 60 and a standard deviation of 4, is -1.

Option B is the correct answer.

We have,

To convert a data item to a z-score, you can use the formula:

z = (x - μ) / σ

Where:

z = z-score

x = data item

μ = mean

σ = standard deviation

In this case, the data item (x) is 56, the mean (μ) is 60, and the standard deviation (σ) is 4.

Plugging these values into the formula.

z = (56 - 60) / 4

z = -4 / 4

z = -1

Therefore,

The z-score for data item 56, with a mean of 60 and a standard deviation of 4, is -1.

Learn more about normal distribution here:

https://brainly.com/question/15103234

#SPJ4

Related Questions

A rectangular parking lot is 115 meters long and 36 meters wide. What is its perimeter?

Answers

Answer:

Perimeter is 302 meters

Step-by-step explanation:

Recall that the formula for the perimeter of a rectangle of length L and width W is given by:

Perimeter = 2 * L + 2 * W

so in our case, since L = 115 and W = 36, we get:

Perimeter = 2 * 115 + 2 * 36 = 230 + 72 = 302 meters

Answer:

302m^2

Step-by-step explanation:

rectangular parking lot is 115 meters long

36 meters wide.

Solution

Perimeter of the park=2(length+width)

=2((115+36)

=2×151

=302m^2

So permiter is 302m^2

Help I will mark you brainliest it’s for algebra 1

Answers

Answer:

0, -1, -2

Step-by-step explanation:

Domain means the x-values of the function, so whatever points you can see the function passes through (I assume) would be your domain. HTH :)

Simplify the expression.
t + 2 + 6t =

Answers

The answer i got is:
5t+2

Help please ten points I’ll mark brailiest

Answers

KJ, IK, HI, HK, then HJ

i think this is it. hope it helps!! :)

Kara has 25 toy animals and 12 books Jorge has 8 more toy animals than Kara has how many toy animals does Jorge have

Answers

Answer:

Jorge Has 33 more toy animals than kara

Step-by-step explanation:

Answer:

Jorge has 33 toy animals.

Step-by-step explanation

We're adding 25 and 8 together to get our answer, which would be 33 at the end.

0.5*0.6 equivalent expression

Answers

If i understand what you're asking then,

0.5*0.6 = 0.3

so you need to find any other thing that would also = 0.3

examples could be:

3/10 = 0.3

0.1+0.2 = 0.3

0.6-0.3 = 0.3

1.0-0.7 = 0.3

I need help with this question?

Answers

Answer:

[tex]x[/tex]=5

Step-by-step explanation:

You stand 25 m from the base of a tree
and the angle of elevation from the
ground to the top of the tree is 48
degrees. How tall is the tree?

Answers

Answer:

21

Step-by-step explanation:

a bag of sugar hasa mass of 2kg write an expressions for the mass of n bags of sugar (in kg)

Answers

Total mass (in kg) =2n
the mass is 2*n (kg)

Patti got a new part-time job. Her hourly wage increased from $10.50 to $12.39. What was the percent increase in Patti’s hourly wage? A 1.8% C 18% B 15.25% D 189%

Answers

Answer:

1.8 %

Step-by-step explanation:

Subtract $10.50 from $12.30 and you will get 1.8.

Then divide 1.8 to 100 (because 100% = total) and you will get 0.018 which means 18%. Her hourly wage increased by 18%.

*I hope this helped :)

The percentage increase in Patti’s hourly wage will be 1.8%

What is the percentage?

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

It is given that Patti got a new part-time job. Her hourly wage increased from $10.50 to $12.39.

The percentage change will be calculated as:-

Subtract $10.50 from $12.30 and you will get 1.8. Then divide 1.8 by 100 (because 100% = total) and you will get 0.018 which means 18%. Her hourly wage increased by 18%.

Percentage change = ( 12.39 - 10.50 ) / 10.50

Percentage change = 1.89 / 100

Percentage change = 0.018 x 100 = 1.8%

Therefore, the percentage increase in Patti’s hourly wage will be 1.8%

To know more about percentages follow

https://brainly.com/question/24304697

#SPJ5

|y+3|=7

Absolute value! Help!

Answers

Answer:

y=4

Step-by-step explanation:

y+3=7. take 3 off and also off the 7 then you get 4 which is the ansew as 3+4 equals 7 it is simple algebra substitute

-3. -3

7-3=4


How much did Kay deposit in cash and coins?

Answers

Answer:

c

Step-by-step explanation:

Answer:

C $93.44

Step-by-step explanation:

Just took the test on EDG

Consider the line that passes through each pair of given points, and decide what type of slope the line has.
(2, 4) and (5, 1)
undefined slope
(3,5) and (-1,2)
negative slope
(-7, 8) and (-7,0)
positive slope
(6.-3) and (4, -3)
zero slope

Answers

Answer:

The slope of line through (2, 4) and (5, 1) is Negative

The slope of line through (3,5) and (-1,2) is Positive

The slope of line through (-7, 8) and (-7,0) is Undefined

The slope of line through (6.-3) and (4, -3) is Zero

Step-by-step explanation:

Slope is defined as the steepness of a line.

Slope is denoted by m and the formula for calculating slope is:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Here

(x1,y1) and (x2,y2) are coordinates of the points through which the line passes

Now,

For (2, 4) and (5, 1):

[tex]m = \frac{1-4}{5-2} = \frac{-3}{3} =-1[/tex]

NEGATIVE

For (3,5) and (-1,2)

[tex]m = \frac{2-5}{-1-3} = \frac{-3}{-4} = \frac{3}{4}[/tex]

POSITIVE

For (-7, 8) and (-7,0)

[tex]m = \frac{0-8}{-7+7} = \frac{-8}{0}[/tex]

UNDEFINED

For (6.-3) and (4, -3)

[tex]m=\frac{-3+3}{4-6} = \frac{0}{-2} = 0[/tex]

ZERO

Hence,

The slope of line through (2, 4) and (5, 1) is Negative

The slope of line through (3,5) and (-1,2) is Positive

The slope of line through (-7, 8) and (-7,0) is Undefined

The slope of line through (6.-3) and (4, -3) is Zero

Velma has 300 stickers in her collection.57% of them are scratch and sniff. How many stickers are scratched and sniff

Answers

Answer:

171

Step-by-step explanation:

300*0.57=171

Answer:

129

Step-by-step explanation:

1
A pack of 8 batteries costs £4.99
How much does each battery cost?
Give your answer to the nearest penny.​

Answers

A). 50 penny
B) This type of battery is cost effective.
Step-by-step explanation:
A) A pack of 8 batteries cost 3.99 pounds so one battery will cost = 3.99/8 = 0.499 pound
Since 1 pound = 100 penny
So 0.499 pound = 100×0.499 = 50 penny
B). A pack of 6 batteries of the same type costs 2.79 pounds
So one battery will cost = 2.79/6 = 0.465 pound or 47 penny
Now we say that type A batteries are costlier than B. Therefore B type batteries are of a better value.
4.99/8 = £0.62375
rounded = £0.62
1 battery costs £0.62
hope this helps x

What is 3/5 by 1/2 reduced?

Answers

Answer: 1/10

Step-by-step explanation:

I think you mean 3/5 - 1/2?

we need to make the denominators the same, so we find the LCM of 5 and 2, which is 1, so we multiply them to get a common denominator of 10.

Now we multiply 3/5 by 2/2 to get 6/10, and 1/2 by 5/5 to get 5/10.

6/10 - 5/10 = 1/10

can you give brainliest

CAN YOU ANSWER THIS PLEASE

Answers

It’s the absolute value of 0 and 5 because it’s the same absolute value the absolute vale is 5 for both 5 and -5 because absolute value of a number is the distance from 0 you can’t have a negative value

A wheelbarrow has a wheel with a diameter of 10 inches. What is the distance, in inches, that the
wheelbarrow moves after 16 full rotations of the wheel? Use 3.14 for m.

Answers

Answer:

Step-by-step explanation:

Using the formula for finding the circumference of a circle.

C = 2πr

r is the radius

radius = diameter/2

radius = 10/2

radius = 5in

C ,= 2(3.14)(5)

C = 20(3.14)

C = 31.4×2

C = 62.8in (for 1 rotation)

For 16 rotations;

C = 16×62.8

C = 1004.8in

The distance covered is 1004.8in

92,902 to the nearest ten thousand

Answers

Answer:

90,000 i think sry if im wrong

Step-by-step explanation:

If €1 equals 72 pence how much is €410 in pounds

Answers

Answer:

=29520pence

Step-by-step explanation:

€1 = 72 pence

So

€410=410×72

=29520pence

Street H is perpendicular to the line 2x –3y = –4 and goes (0, –6). Write this street’s equation in standard form.

Answers

Answer:

I think its 68 + 1 = 69

Step-by-step explanation:

You decide you need to start placing money aside for your new car which you would like to purchase in the next 2 to 3 years. Would this be considered investing?

Answers

Yes! This counts as investing

If there are 214 student in school and 81 get cookies 74 get ice cream how many get cake?

Answers

51 students get cake

Answer:

59 Get cake.

Step-by-step explanation:

214 - 81 = 133

133 - 74 = 59

It is easy subtraction, i hope this helps you.

Find the slope of the line on the graph

Answers

Answer:

y = -1

Step-by-step explanation:

there is no slope, so the slope is 0

Please help it was due a week ago I numbered them (with poor handwriting) anyways yeah please help

Answers

Answer:

Functions - 2, 3

Not a Function - 1, 4, 5, 6

What is the value of m(7+9)n, when m = 0.5 and n = 2?

Answers

Answer:

16

Step-by-step explanation:

Plug things in then use PEMDAS:

m * (7+9) * n

= 0.5 * (7+9) * 2

= 0.5 * 16 * 2

= 16

Step-by-step explanation:

=m(7+9)n

putting value of m&n

=0.5(7+9)2

=8×2

=16 ans

hope u need this.

Sarah climbed 3,150 feet of the way up Pikes Peak and then stopped to rest. After she stops, she continues to climb at a rate of 75 feet per hour for h hours. Which expression indicates her elevation, in feet, h hours after she stops?
A.
3,150 ÷ 75 × h
B.
3,150 - 75 × h
C.
(3,150 + 75) ÷ h
D.
3,150 + 75 × h

Answers

Answer:

im pretty sure its A

Step-by-step explanation:

Answer:

the answer would be A. 3,150 / 75 x h

Step-by-step explanation:

Fifty more than five times a number is 150. What is this number?

Answers

Answer:

the number is 20

Step-by-step explanation:

5x+50=150

5x=100

x=20


what is the 94% of 104​

Answers

Answer:

97.8

Step-by-step explanation:

All you need to do is times the percentage with the number(make sure to change the percent to a decimal)

104 x 0.94 = 97.76

97.8

a line has a slope of negative 1 over 2 and a y-intercept of -2 what is the x intercept of the line ​

Answers

Answer:

x=-1

Step-by-step explanation:

plug in zero for y

y= -1/2x -2

0= -1/2x-2

2= -1/2x

-1=x

Other Questions
Find the length of each side of an equilateral triangle with perimeter 60 inches. Which one should i pick This illustration of India under British rule appeared in a London newspaper in 1877. This image showing the Great Famine implies that Which statement best describes the areas and perimeters of the figures below?Figures 1 and 2 both have the same perimeter, but have different numbers of units inside of the shape.They have the same area and same perimeter.They have the same area but different perimeters.They have different areas but the same perimeter.They have different areas and different perimeters. Which of these is NOT a bone?femurskullhumerusbicepsWhich body system involves the hair skin and nails? * Name one current day state that is in the New EnglandColonies and write one sentence about the culture of thatcolony you learned from A package of 6 pairs of insulated socks costs $32.34. What is the unit price of the pairs of socks? In which era was theater the most popular performing art in Europe?18th centuryRenaissanceearly 20th century19th century each function. g(x) = 2x^3 4; Find g(2) Following a stroke, Jordon has lost function of one of her arms. Which health professional will Jordon Write the code in python to input a number and print the square root. Use the absolute value function to make sure that if the user enters a negative number, the program does not crash. The set of line styles and line thickness used on drawings used on drawings are referred to as the ____. I NEED THIS ASAP!!!!!!!!!!!What describes using organisms that were only alive during a specific time period to estimate the unknown age of items?Group of answer choicesRadioactive datingLaw of superpositionRelative datingIndex fossils Why did native Americans have conflict with President lamar When Alice Paul lived in England, she was exposed to the tactics of the British women's suffragemovement. True or false?A. TrueB. False Plz help ASAP!!Who owns most factors of production in a market economy?. individualsB. individual statesC. the federal governmentD.community leadersPlease select the best answer from the choices provided whoever answers this first gets marked brainliest why is there not enough water supply from canals to meet the needs of all users Colonel Regan gives Isabel the code words ad astra to use when entering therebel camp. The words mean "to the stars" in Latin. Why is this an appropriatecode word for the rebels and how do these words foreshadow Isabel andCurzon's ultimate escape to freedom at the end of the novel? Factor and solve the equation[tex]v {}^{2} + 11v - 26 = 0[/tex]