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.

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Related Questions

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:

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:

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

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:

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%

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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.

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

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.

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:

Help please ten points I’ll mark brailiest

Answers

KJ, IK, HI, HK, then HJ

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

|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

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

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

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

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

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.


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

Simplify the expression.
t + 2 + 6t =

Answers

The answer i got is:
5t+2

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


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

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

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

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

92,902 to the nearest ten thousand

Answers

Answer:

90,000 i think sry if im wrong

Step-by-step explanation:

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

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 :)

I need help with this question?

Answers

Answer:

[tex]x[/tex]=5

Step-by-step explanation:

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

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

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)
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