For a sample with mean = 50 and standard deviation = 10...
A. Find the z-score for each of the following X values:
X = 60
X = 75
X = 30

Answers

Answer 1

X = 60 is 1 standard deviation above the mean.

X = 75 is 2.5 standard deviations above the mean.

X = 30 is 2 standard deviations below the mean.

To find the z-score for a particular X value, we use the formula:

z = (X - mean)/standard deviation

where X is the given value, mean is the population mean, and standard deviation is the population standard deviation.

For X = 60:

z = (60 - 50)/10 = 1

Therefore, the z-score for X = 60 is 1.

For X = 75:

z = (75 - 50)/10 = 2.5

Therefore, the z-score for X = 75 is 2.5.

For X = 30:

z = (30 - 50)/10 = -2

Therefore, the z-score for X = 30 is -2.

The z-score represents the number of standard deviations that a particular X value is away from the mean. Since the mean z-score is 0 and a positive z-score means that the X value is above the average.

For such more questions on standard deviation

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Related Questions

Salma's company makes solid metal balls for various industrial uses. A customer wants lead balls that have a diameter of 6 in. If Salma must make 80 of these balls, how much lead will she need?

HEELPP ME PLLEASEE

Answers

Answer:

Total volume of 80 balls = 2,263.2 inch³

Step-by-step explanation:

Given:

Diameter of lead ball = 6 inch

Number of ball need = 80

Find:

Total volume of 80 balls

Computation:

Radius of lead ball = Diameter / 2

Radius of lead ball = 6 / 2

Radius of lead ball = 3 inch

Volume of lead ball = πr²

Volume of lead ball = (22/7)(3)²

Volume of lead ball = (22/7)(9)

Volume of lead ball = 28.29 inch³ (Approx.)

Total volume of 80 balls = 80 x Volume of lead ball

Total volume of 80 balls = 80 x 28.29

Total volume of 80 balls = 2,263.2 inch³

Find the midpoint of the line segment joining points A and B. A(2,-7); B(2,3) The midpoint of the line segment is (Type an ordered pair.)​

Answers

The midpoint of a line segment is the point that is exactly halfway between the two endpoints. To find the midpoint of the line segment joining points A(2,-7) and B(2,3), we can use the midpoint formula:

Midpoint = [(x1 + x2) / 2, (y1 + y2) / 2]

where (x1, y1) and (x2, y2) are the coordinates of the two endpoints.

Substituting the values for A and B, we get:

Midpoint = [(2 + 2) / 2, (-7 + 3) / 2]

Midpoint = [4 / 2, -4 / 2]

Midpoint = [2, -2]

Therefore, the midpoint of the line segment joining points A and B is (2, -2).

BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS

Answers

Answer:

80

Step-by-step explanation:

sorry if wrong

80 degree angle






STEP-BY STEP EXPLINATION:

100 degrees is like a triangle or a square so o belive its 80 degrees

What is the location of point A? (5,-8) (-8,5),(8,-5) (-5,8)

Answers

We need picture if you message me a picture I can tell you what the answer is

Answer: Dude the answer is (-5,8).

Step-by-step explanation:

Mark me brainliest please since I have the real answer.

SUPER EASY QUESTION WILL GIVE BRAINLEST!!!!!!!!!!!!!!!!!!!!! (no links please
what is 11683.94 rounded to the nearest tenth.

Answers

11683.94 rounded to the nearest tenth is 11,683.9

whoever gets this correct first gets brainlest

Answers

Answer:

36°

Step-by-step explanation:

From the question,

The sum of the exterior angle of a polygon = 360

From the diagram. the polygon is Decagon

Note: A Decagon is a polygon with 10 sides.

number of sides = 10 .

The exterior angle of a regular polygon = sum of the exterior angle/number of sides.

Exterior angle = 360/10

Exterior angle = 36°

Hence the measure the single extrior angle = 36°

If a trader gained 15% by selling an
article for A1560.00, what is the cost
price of the article?​

Answers

Answer$67

Step-by-step explanation:

Answer:

A or B

Step-by-step explanation:

The Black transles are shown. Find the value of
The value of
(just type a number in the box)
please help me !!

Answers

Answer:

I think its d

Step-by-step explanation:Because i think that.

Answer:

x = 8

Step-by-step explanation:

The ratio between the traingle is

2:3

x:12

3*4 = 12

2*4 = 8

8:12

BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS

Answers

i think C if i’m wrong i’m sorry

karina has a job at a video game store, the total she is paid each week is made up of an hourly rate of

Answers

Answer:

you have not put the  full question

Step-by-step explanation:

Answer:

The question is incomplete

What is the volume of the following rectangular prism?

Answers

Answer: 2.76

Step-by-step explanation:

I wrote it down on paper :)

Help me please (show work)

Answers

9514 1404 393

Answer:

  14.  53.1°

  16.  253.7°

Step-by-step explanation:

14. The measure of angle L can be found from the cosine relation:

  Cos = Adjacent/Hypotenuse

  cos(L) = 9/15 = 3/5

  L = arccos(3/5) = 53.1° . . . arc MK

__

16. Arc MK is half of arc JK, so that arc is 106.3°. The long arc JPK is the difference between 360° and the measure of the short arc JK.

  360° -106.3° = 253.7° . . . arc JPK

Graph the parabola.
y=-3x2 +6
PLEASE ANSWER quickly

Answers

Answer:

y = 12

Step-by-step explanation:

y = 3x2+6

   = 6+6

   = 12

y = 12

Help pls this is my first question on here and I need help with this pls. I will give you the brainliest and a thanks!! :)) Can you do 1 and 4 thanks!! :)))

Answers

Answer:

1. 18.85in

4. 25.13m

Step-by-step explanation:

I got you

So to find the circumference of any circle we use the equation 2pi(r)

2(3.1415)(3)= 18.85in for the first one because radius is half of the diameter which is 6 so half of 6 is 3

For 4. 4m is actually the radius so just plug that into the equation 2pi(4)=25.13m

What is the slope of the line through (1, 1) and
(4.1)

Answers

0
formula for slope is y2-y1 divided by x2-x1
substitute
1-1 / 4-1 = 0/3 meaning slope is 0

Answer:

m = 0

Step-by-step explanation:

Let's figure out the change in x (the 'run') and the change in y (the 'rise').  Going from the first point to the second, we see that x increases by 3 and y stays the same.  Therefore we know that the line is a horizontal one with zero slope.

Solve the system of equations.
2.5y+ 3x = 27
5x-2.5y = 5
What equation is the result of adding the two equations?
What is the solution to the system?​

Answers

Answer:

The asnwer to the system of equation

x=4 y=6

Step-by-step explanation:

Answer:  1) 8x=32       2) (4,6)

Step-by-step explanation:

Hope this helps!

Mark me brainliest!

Pls and ty!

Question 3 of 10
What is the equation of the following line? Be sure to scroll down first to see
all answer options.

Answers

answer: F. y = - 1/2x

The equation of the line passing through two points (0, 0) and (4, -2) is y = -x/2

What is an equation of the line?

The general equation of a line in two variables of the first degree is represented as Ax + By +C = 0, A, B ≠ 0 where A, B and C are constants which belong to real numbers.

Given is a line passing through two points (0, 0) and (4, -2), we need to find the equation of the line,

We know that the equation of the line, passing through two points (x₁, y₁) and (x₂, y₂), is given by:

y-y₁ = y₂-y₁ / x₂-x₁ (x-x₁)

Here, (x₁, y₁) and (x₂, y₂) are (0, 0) and (4, -2), putting the values to finding the equation,

y-0 = -2-0 / 4-0 (x-0)

y = -1/2(x)

y = -x/2

Hence, the equation of the line passing through two points (0, 0) and (4, -2) is y = -x/2

Learn more about equation of the line, click;

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from SMALLEST to LARGEST: 1/4", 3/4", 12", 1/8", 3/8 5/8”

Answers

Answer:

1/8", 1/4", 3/8", 5/8", 3/4", 12"

Step-by-step explanation:

First, make all of the fractions have similar denominators. We'll use eighths.

1/4 = 2/8

3/4 = 6/8

The rest are either whole numbers or already have a denominator of 8.

2/8, 6/8, 12, 1/8, 3/8, 5/8.

Rearrange.

1/8, 2/8, 3/8, 5/8, 6/8, 12.

Now we take the fractions we converted, and change them back to their original form. Then we'll have the answer.

1/8, 1/4, 3/8, 5/8, 3/4, 12.

---

hope it helps

Gina needs to buy a bathroom mirror that is 3 feet wide and 6 feet long. If the mirror sells for $3.00 per square foot, what will the total cost of the mirror be?

Answers

Answer:

$54

Step-by-step explanation:

beacuse 6x3=18 and 18x3=54 so your answer will be $54

sorry if im wrong mark me brainliest if im right

The radius of the inside circle is 8 inches. The radius of the larger circle is 4 inches more than the radius of the small circle.

What is the area in square inches of the shaded area? Use 3.14 for π and round your answer to the nearest whole number.

Answers

Answer:

Area of shaded region=2 ×3.14×R -2×3.14×r(where R is lager radius and r is smaller radius.)

Therefore area of shaded region=2×3.14×12 -2×3.14×8

=2×3.14(12-8)

=6.18 ×4

=24.72 inc^2

Step-by-step explanation:

Biology A bald eagle snatches a fish from a lake and Mies to an altitude of 256 it.
The fish manages to squirm free and falls back down into the lake. Its height in
feet can be modeled by h(1) - 256 - 167, where is the time in seconds. How many
seconds will the fish fall before hitting the water?

Answers

Answer: Its height h in feet can be modeled by h(t) = 256 – 16t2, where t is the time in seconds.

Step-by-step explanation:

Its height h in feet can be modeled by h(t) = 256 – 16t2, then like i said t is the time in seconds may be marked brainliest

Find the probability that a randomly selected point within the circle falls in the white area

Answers

Answer:

67%

Step-by-step explanation:

out of 6 sections, 4 are white

therefore, 4/6 or 67% have a chance of landing in white areas

need help please.........

Answers

Answer:

Step-by-step explanation:

C

Answer:

A.

Step-by-step explanation:

k=am+3mx=m(a+3x)

⇒   [tex]m=\frac{k}{a+3x}[/tex]

PLEASE HELP I WILL MARK YOU BRAINIEST

Answers

Answer:

x greater than or equal to 1/3

Step-by-step explanation:

Answer:

equation is unclear. Send another pic.


Mr. G's pet cat can travel 10 meters in 20 seconds. How many meters can the cat travel in 1 second? Write your answer as a ratio.

Answers

Answer:

0.5 meters a second or 0.5:1

Step-by-step explanation:

10 meters ÷ 20

_______________

20 seconds ÷ 20

=  

0.5 meters

_______________

1 second  

If John ran a 40 yard dash, how far did he run in decimeters?​

Answers

Answer:

365.76 decimeters

Step-by-step explanation:

Please give me brainliest

A glass prism on a chandelier is 80 millimeters long. A base of the prism is an equilateral triangle with side lengths of 9 millimeters and a height of about 5.8 millimeters. What is the approximate surface area of the prism?

Answers

Let's find the area of the equilateral triangle first:

There are two triangles - one on each end. So we multiply our previous expression by 2.

Each rectangle is 75 millimeters long and 9 millimeters wide: 75*9 mm^2.

We have 3 rectangles each the same size so we multiply 75*9 by 3.

75*9*3 = 2025

2025 + 70.2 = 2095.2

HELP ME PLEASE
15 points and brainliest if right

Answers

Step-by-step explanation:

area of a rectangle bh

4x7=28

7x9=63

9x4=36

the only rectangle that has an area equal to 28 is the 4x7 which is the front face and back face.

Hope that helps :)

o que significa 1E+76 ?????

Answers

Answer:

e means error at least when the number is higher than the computor can calculate or it is just a variable

Step-by-step explanation:

The range of a data set is 18 . If the smallest number in the set is 9 what is the largest?

Answers

Answer:

So you start off with 9, we know that the range is 18, so you do 9 + 18 = 27, So the largest number in the set would be 27 .

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