A missing data value from a set of data has a z-score of –2.1. Fred already calculated the mean and standard deviation to be Mu = 43 and Sigma = 2. What was the missing data value? Round the answer to the nearest whole number. 39 41 45 47

Answers

Answer 1

Answer:

39

Step-by-step explanation:

i just did it on usa test prep

Answer 2

Using the normal distribution, it is found that the missing data value was of 39.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem, we have that:

[tex]\mu = 43, \sigma = 2, Z = -2.1[/tex]

The missing data value is X, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-2.1 = \frac{X - 43}{2}[/tex]

[tex]X - 43 = -4.2[/tex]

[tex]X = 38.8[/tex]

Rounding up, the missing data value was of 39.

More can be learned about the normal distribution at https://brainly.com/question/14424710


Related Questions

Segment Line segment X Y is dilated using a scale factor of Two-thirds through P. Which segment shows the correct result of the dilation?

Answers

Answer:

We need the segments but which ever one has the segment that is 2/3 times the length of segments xy

Step-by-step explanation:

Answer: line c

Step-by-step explanation: I got it correct

Solve for the value of x and y

Answers

The value of x is 35° and the value of y is 72.5°

Hope this helps! If you have any more questions or need any further explanation then please comment down below or message me! Good luck!

Edith wants to make a paperweight at pottery class. She wants the paperweight to have a pyramid-like shape with a base area of 120 square centimeters, and she wants it to weigh 400 grams. The density of the clay she is using is 1.6, point, 6 grams per cubic centimeter.
What should be the height of the paperweight?

Answers

Answer: 6.25

Step-by-step explanation:

I took the quiz on Khan Academy and it’s right.







Kelly is going to shop with the $200.00 that she earned from doing chores. She wants to save 30% of her money to put into a savings account. She buys a sweater for $60.00 and a new coat for $75.00, with 6% sales tax on both items. Does Kelly still have the amount of money she planned to put into her savings account?

Answers

Answer:

No she won't

Step-by-step explanation:

200(0.30)=60

60(0.06)=3.6

60+3.6=63.6

75(0.06)=4.5

75+4.5=79.5

79.5+63.6=143.1

200-143.1=56.9

56.9<60

What is the mean and median of 73 45 88 90 90 81 83

Answers

Answer:

Mean = 78.5

Median = 83

Is the ordered pair (4, -2) a solution to this system? Explain why or why not.

Answers

Answer: No, it would not be a solution.

Step-by-step explanation:

The solution to a systems of equations is the point where the lines intersect. The lines do not intersect at (4,-2) so it is not a solution. The lines do intersect at (-2,4), so (-2,4) would be the solution to this system.

Write the standard form of the line that passes through the given points. (-3,5) and (-2,-6)

Answers

Answer:

Step-by-step explanation:

What you’ll do is subtract -3 and -2 and then subtract 5 and -6

Can someone pls help me find the value of b and x??

Answers

Answer: b = 126,8

Step-by-step explanation:

c = 53,2

d = 90

90

b = 360 - 90 - 90 - 53,2 = 126,8

Select Yes or No to state whether each data set is likely to be normally distributed.

number of tables in Honeycomb Cafe
number of patrons in Honeycomb Cafe at noon
number of minutes it takes to be served at Honeycomb Cafe

Answers

Answer:

number of tables in Honeycomb Cafe- No

number of patrons in Honeycomb Cafe at noon- No

number of minutes it takes to be served at Honeycomb Cafe- Yes

Step-by-step explanation:

Normal Distribution is for continuous data.

time is continuous but no. of tables and patrons is discrete

Correct answers only!

To the nearest cent, how much will he have in 2 years?

Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer: $44.10

Step-by-step explanation:

We are given our p, r, t in the problem.

p=40 (starting amount)

r=0.05 (5%)

t=2 (years)

With the given information, we can plug this into our equation.

B=p(1+r)^t

B=40(1+0.05)^2

B=44.1

probability spinning a 6 and flipping tails

Answers

Answer:

Probability of spinning a six, and I'm guessing on a spinner with six numbers would be 1 and 6, 1:6, or 1/6. Flipping tails would be 1 and 2, 1:2, or 1/2

Step-by-step explanation:

What’s the value of x?

Answers

Answer:

19

Step-by-step explanation:

In any triangle, the sum of the measures of the angles is 180 degrees.

(5x + 5) + (x + 16) + (2x + 7) = 180

Combine like terms.

8x + 28 = 180

8x = 152

x = 19

Given: 6|x/3| < 18
Part A: Show the step(s) to get the absolute value expression by itself.

Part B: Write the two equations used to solve the absolute value equation.

Part C: Solve the equations and check your equations.

Answers

Answer:

see below

Step-by-step explanation:

6|x/3| < 18

Divide by 6

6/6|x/3| < 18/6

|x/3| < 3

Now we get two equations, one positive and one negative, remembering to flip the inequality

x/3 < 3   x/3 > -3

Multiply by 3 to isolate x

x/3 *3 < 3*3  and  x/3*3 > -3*3

x < 9          and      x > -9

Rewriting

-9 < x<9

Check -12

6|-12/3| < 18

6|-4| <18

24<18  False  good

Check 0

0<18  true

Check 12

6|12/3| < 18

6|4| <18

24<18  False  good

factor k^2 +3x-10 .....

Answers

Answer:

I think you mean: x^2 + 3x - 10, then

x^2 + 3x - 10

= x^2 + 5x - 2x - 10

=x(x + 5)  - 2(x + 5)

=(x - 2)(x + 5)

Hope this helps!

:)

Translate the expression with rational exponents. Simplify if necessary

Answers

Answer: 27

Step-by-step explanation:

The expression given is inside a cube root. This is a simplified version of a fractional exponent, 1/3.

We can take the expression outside of the radical to get this:

3 ^ 9 ^ (1/3)

When an exponent is raised to another exponent, multiply the exponents and keep the base the same:

3 ^ (9 * 1/3)

3 ^ 3

The expression is equal to 27.

3(x + 4)(x – 5)
Find the product

Answers

Answer:

I got 3x^2 -3x-60

but you might wanna check again.

4x + 7 is what i got! hope this helps :)

Find the distance between
(-1, - 3) and (8, – 3).

Answers

Answer: d (A,B) = 9

Step-by-step explanation: d(A,B) = √(xB - xA)^2 + (yB - yA)^2

                                              d(A,B) = √(8-(-1))^2 + (-3 - (-3))^2

                                              d(A,B) = √81 + 0    

                                              d(A,B) = 9                                        

Can someone Help me with this

Answers

Answer:

33.165

Step-by-step explanation:

Answer:

33.165

Step-by-step explanation:

4.95*6.7= 33.165

hope this helps

Hailey has 48 inches of ribbon. How many feet of ribbon does she have?

Answers

Conversion:

12 inches = 1 foot

Divide:

48 / 12 = 4

Therefore, Hailey has 4 feet of ribbon.

Best of Luck!

Answer: 4 foot of ribbon

Step-by-step explanation: there is 12 inches in one foot so this means to get the answer you must divide 48 by 12 to get 4 so 4 feet is the answer

hope this helps and mark me brainliest if it did hope you have a great day

The equation Ax - 4y + 2 = 0 represents a linear relation.
Determine the value of A if the point (6,5) belongs to the relation.

Answers

Answer:

The value of A is 3.

Step-by-step explanation:

In order to determine the value of A if the point (6,5) belongs to that linear relation, we need to apply the coordinates for that point on the equation and solve it for A. This is shown below:

A*x  - 4*y + 2 = 0

A*(6) - 4*(5) + 2 = 0

6*A -20 + 2 = 0

6*A - 18 = 0

6*A = 18

A = 18 / 6

A = 3

The value of A is 3.

Concert tickets were originally priced at $65. When you use your coupon to buy a ticket you receive a discount of 25%. There is a service free of 12% applied to the discounted price. How much do you have to pay for the ticket?

Answers

Answer: 56.55

Step-by-step explanation: im assuming there was a typo and instead of free its fee so 25%-12% is 13% and 100%-13% is 87% therefore 87%of 65 is equal to 56.55

Someone please help

Answers

Answer:

42

Step-by-step explanation:

The difference of each letter times 2 get you the next number in the sequence.

Rewrite the equation by completing the square.
4x2 + 28x + 49 = 0
(x+) =

Answers

Answer: x = - 3.5

Step-by-step explanation:

Rewrite the equation by completing the square.

4x2 + 28x + 49 = 0

Completing the square method :

Divide through by the Coefficient of x^2

x^2 + 7x + (49/4) = 0

a = 1, b = 7, c = 49/4

Move c to the right side of the equation

x^2 + 7x = - 49/4

Complete the square on the left hand side by squaring its half of the x term

(7/2)^2 = (49/4)

Add the output to both sides of the equation

x^2 + 7x + (49/4) = - (49/4) + (49/4)

(x + 7/2)^2 = 0

Square root of both sides

x + 7/2 = 0

x = - 7/2

x = - 3.5

Answer:

x = - 3.5

Step-by-step explanation:

Find F(-2)
F(x)=5^x
A=1/25
B=1/10
C=-10
D=-25

Answers

F(-2) when F(x)=5^x is 1/25

If I take the shortest route do I take a new road ? Please explain. How far is the longer route than the shorter route and assume they are all straight. This is Pythagorean theorem.

Answers

Answer:

the new road is new so it will be a new way which makes it shorter if yuo think about it

PLEASE HELP!!!!!The table below shows the data for a random sample of fish that were collected from and later released into a lake:

Type of Fish Catfish Grass Carp Bluegill
Number of Fish 52 61 87

How many bluegills are estimated to be present if a sample of 800 fish is collected from the lake? (5 points)

148
174
244
348

Answers

Answer:B

Step-by-step explanation:

All you have to do is multiply

A shelf at a grocery store contains 500 packages of corn and flour tortillas. If 22% of the packages are flour tortillas how many packages are corn tortillas

Answers

This one is an easy one

500x22%

Select the correct answer. Maxine owns a food truck that sells cups of frozen yogurt. The revenue, y in dollars, Maxine makes from selling x number of frozen yogurts is recorded in the table below. x 38 44 55 62 76 y 68.42 76.38 83.61 80.27 74.75 If y = -0.03x2 + 3.52x - 21.86 is the equation for the curve of best fit for the given data, about how much revenue will Maxine make when she sells 90 cups of frozen yogurt? A. $41.79 B. $83.61 C. $67.74 D. $51.94

Answers

Answer:

$51.94

Step-by-step explanation:

Ashley collects colored golf balls from a miniature golf course. She will randomly select one ball from her collection of 9 blue, 7 magenta, and 2 purple golf balls. Develop a probability model based on theoretical probability.
1. What is the total number of colored golf balls in Ashley’s collection?
2. What is the sample space?
S =
3. What is the theoretical probability that each event in the
sample space occurs?

Answers

Answer:

18 golf balls in all, 1/18 is the answer

Step-by-step explanation:

Answer:

1. 18

2. {blue, magenta, purple}

3. P(blue) = 1/2

P(magenta) = 7/18

P(purple) = 1/9

Step-by-step explanation:

Total balls:

9 + 7 + 2 = 18

Sample space: all possible outcomes

{blue, magenta, purple}

P(blue) = 9/18 = 1/2

P(magenta) = 7/18

P(purple) = 2/18 = 1/9

You have bag filled with 6 red marbles, 4 blue marbles, and 8 yellow marbles. What is the probability of pulling out a red marble?

Answers

Step-by-step explanation:

Simple

Total no of marbles = 6 + 4 + 8 = 18

Probability of red marble = 6 / 18 = 1/ 3

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