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

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

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Answer:

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Not a Function - 1, 4, 5, 6

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Find the slope of the line on the graph

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Answer:

y = -1

Step-by-step explanation:

there is no slope, so the slope is 0


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 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;

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C = 1004.8in

The distance covered is 1004.8in

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
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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

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

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Answers

KJ, IK, HI, HK, then HJ

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

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

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Simplify the expression.
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Answers

The answer i got is:
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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)
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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

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

Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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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


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Answers

Answer:

c

Step-by-step explanation:

Answer:

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Step-by-step explanation:

Just took the test on EDG

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A.
3,150 ÷ 75 × h
B.
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C.
(3,150 + 75) ÷ h
D.
3,150 + 75 × h

Answers

Answer:

im pretty sure its A

Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

51 students get cake

Answer:

59 Get cake.

Step-by-step explanation:

214 - 81 = 133

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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.

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Answer:

[tex]x[/tex]=5

Step-by-step explanation:

|y+3|=7

Absolute value! Help!

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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

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Answers

Yes! This counts as investing

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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 :)

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

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

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:

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.

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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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
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