Carmen is a professor at a local university. In collecting data on her Introduction to Business course for a year, she wants to calculate the z-score for a student who scores a 83 on the final exam. The mean and the standard deviation scores on the exam are 72 and 5, respectively. Calculate the z-score.

Answers

Answer 1

Answer:

[tex]\boxed {\boxed {\sf z=2.2}}[/tex]

Step-by-step explanation:

The z-score tells us how many standard deviations a value is away from the mean.

The formula is:

[tex]z=\frac{x- \overline{x}}{s}[/tex]

where x is the value, [tex]\overline {x}[/tex] is the mean, and s is the standard deviation.

We want to find the z-score for the score of an 83, the mean is 72, and the standard deviation is 5.

[tex]x=83 \\\overline {x}= 72 \\s=5[/tex]

Substitute the values into the formula.

[tex]z=\frac{83-72}{5}[/tex]

Solve the numerator.

[tex]z=\frac{11}{5}[/tex]

Divide.

[tex]z=2.2[/tex]

The z-score is 2.2, which means the score of 83 is 2.2 standard deviations above the mean.


Related Questions

...What is, -7=z/2+1

Answers

0.0000000000000000000

Answer:

z=-16

Step-by-step explanation:

-7 = (z/2) + 1 Original equation

-7-1 = (z/2) Combining like terms

-8 = z/2 Simplification

-8 × 2 = (z/2) × 2 Isolating the variable

-16 = z The answer

Check your answer

-7 = (-16/2) + 1 Substitution

-7= -8 + 1 Simplify

-7 = -7 Your answer is right

Hope this helped!!!

double y, then raise the result to the 10th power

Answers

Answer:

2y^10

Step-by-step explanation:

If you are doubling "y" you are multiplying it by 2 so it is 2y

If you are raising 2y to the 10th power it will be 2y^10

Answer:

2y^10 or 2y¹⁰

Step-by-step explanation:

I’ve been stuck in this question. Please help me.

Answers

D. They are congruent triangles


School sucks doesn’t it?

Answer:

They are congruent triangle

Step-by-step explanation:

They are congruent because they have the same measurements for angles and sides.

The area of a rectangle is (27x5 + 9 - 18x3) square feet. The width of the rectangle is 9x2 feet. What is the length of the rectangle?​

Answers

Answer:

Step-by-step explanation:

If the width is 9x², then the length is 27x^5+9x^4-18x^3/9x², which equals 3x³+x²+2x. ☺☺☺☺

if i drive 118.3 miles and my cars miles to gallon is 26.8 how many times would i have to fill up my tank?

Answers

You would have to fill up your tank 5 times because it would need 4.41 gal

Answer:

4.4.

Step-by-step explanation:

I rounded my answer to 4.4. You can divide 118.3 by 26.8 to get your answer. Hope this was helpful.

The diagram shows a door lock.
А
B
1
2
3
4
The code is a letter followed by a number.
Write down all the possible codes,
write your answers like this: (A, 1) You must write all of your answers on one line.

Answers

Answer:

(A, 1); (A, 2); (A, 3); (A, 4); (B, 1); (B, 2); (B, 3); (B, 4)

Step-by-step explanation:

What a tedious question...

What elements, found on the right side of the periodic table, usually accept electrons and have a negative valence? A. metals B. nonmetals C. metalloids D. alkaline metals

Answers

ANSWER:Non ElementsNOTES:With the exception of HYDROGEN, the elements on the left side of the periodic table are METALS. Elements on the right side of the periodic table are NONMETALS.

Select the fraction that is equivalent to one half.

Question 1 options:

two fourths

three fourths

four sixths

two halves

Answers

Answer:

2/4 = 1/2

Step-by-step explanation:

What is the median of 30,33,38,40,51,57,81,91?

Answers

Answer:[tex]{ \left[\begin{array}{ccc}45.5\\\\\end{array}\right] }{}\\\\\end{array}\right] } ----[/tex]

Step-by-step explanation: Hey, Basically we are going to arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.

Hope this helps!

I need help plsssss✨

Answers

Answer:

With?

Step-by-step explanation:

A fruit basket is filled with 8 bananas, 3 oranges, 5 apples, and 6 kiwis.
For every 3 kiwis, there are 4

Answers

Answer:

83

Step-by-step explanation:

666

Answer:

Bananas

Step-by-step explanation:

60° X48° 72° x = degrees​

Answers

180 - 48 = 132

x = 132°


Which of the following is most likely the next step in the series?

Answers

A. think of it like a clock
A if you think of it like a clock only one of the lines move to the left

4) Check all the equations below that are equivalent to:
3(2+1) = 15 - 26
(Select all that apply)
3+3(1+t) = 15 - 26
6+ 3t = 6 + 70-5t+ 9
3(2+1) +7= 15 - 20 + 7
ht=9

Answers

The 1st and 3rd ones I think correct me if I’m wrong
The I and 3 ones I got a long time ago

The 12 members of the middle school filmmaking club need to raise at
least $1,400 to make a short film. They already have raised $650. How
much more should each member raise on average?

Answers

Answer:

At least $62.50 per member

Step-by-step explanation:

They need to raise at least $1400-$650=$750 more.

That means on average $750/12 = $62.50 per member.

A one-question survey is to be distributed to a random sample of 1500 adults in Ohio. The question asks if they support an increase in the state sales tax from 5% to 6%, with the additional revenue going to education. Let p-hat denote the proportion of adults in the sample who say they support the increase. Suppose that 40% of all adults in Ohio support the increase. What is the probability that p-hat will be more than 50%

Answers

Solution :

It is given that :

Total number of adults in the sample of Ohio, n = 1500

Increase in the sale tax = 5% to 6 %

Let [tex]$\hat p$[/tex] = proportion of the adults that supported the increase in the sales tax.

        = 40%

        = 0.40

Therefore the probability that [tex]$\hat p$[/tex]  will be more than 50% will be :

   [tex]$P(\hat p > 0.50) = P\left( \frac{\hat p - E(\hat p)}{\sigma_{\hat p}} > \frac{0.50-0.40}{0.0123}\right)$[/tex]

                    [tex]$=P(z>7.936508)$[/tex]

                    [tex]$=1-P(Z<7.936508)$[/tex]

                    = 1 - 1

                    = 0

20 Points!!!!!
Find the cofactors of each entry in the first row of the matrix

Answers

Answer:

can you make the more clear

Help&EXPLAIN

Don’t use for points or will be reported and I’ll take the points back

Answers

Answer:

X=151

Step-by-step explanation:

1. 61+90= 151

-Combine the two given angles

2.180-151= 29

-Subtract the total of the two combined from 180 because all 3 angles of a triangle add up to 180.

-29 is your difference which is also the angle next to X.

3.180-29= 151

-To find angle X you subtract 29 from 180 because angle X and 29 are supplementary angles that add up to 180.

-Therefore X=151

Which graph represents a function

Answers

the second one on the top row

Answer and Step-by-step explanation:

The graph to the top right is a function.

This is a function because it a straight, connected line.

The First graph isn't a function because the lines are connected, and doesn't pass the horizontal test.

The Bottom left graph isn't a function because there are two lines and they intersect.

The Bottom right graph isn't a function because there are points but aren't connected.

#teamtrees #PAW (Plant And Water)

A bicycle path starts 5 miles due east of an intersection, and continues in a straight line to finish 8 miles due north of the same intersection. Let the intersection be represented by the point (0, 0). Suppose a cyclist rides the path from start to finish in 2 hours. Which parametric equations model the path of the rider?

Answers

The parametric equations that models the path of the rider are:

x(t) = -5/2t + 5 and y (t)= 4tx(t) = -5/2t + 5 and y(t) = 4t + 8What is a Parametric Equation?

This refers to the type of equation that makes use of a parameter to define dependent variables.

Hence, we can see that to model the path of the rider, the parametric equation that can be best used is to model the direction of the bicycle which is moving 5 miles east and then continues 8 miles north, and the fact that they started at rest 0 and the equations to make the model are:

x(t) = -5/2t + 5 and y (t)= 4tx(t) = -5/2t + 5 and y(t) = 4t + 8


Read more about parametric equations here:

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2+2 is what broooooooooooooooooooooooooooooooooooooooooooooooooooo

Answers

Answer:

It's 4

Step-by-step explanation:

WOW ‍♀️‍♀️‍♂️‍♂️THAT WAS SO HARD

Answer:

why would you ask such a stu pid question bro, its obviously 22

Step-by-step explanation:


[tex]4859 \div 23[/tex]
pls help me asap​

Answers

the answer is 211.26087

Step-by-step explanation:

211 R6

_____

step 1. 23 / 4859

46

25

23

29

23

6. -> R6

step 2. answer: 211 R6 or 211 6/23.

Express each of the following in km/h.
(a) 8.4 km/min (b) 315 m/s
(c) 242 m/min (d) 125 cm/s

Answers

Answer:

Step-by-step explanation:

NEED ASAP !! HELP PLEASE 10 PTS

Answers

The correct answer for angle YVZ is 47 degrees

How many times do parallel lines intersect?
A. 0
B. 1
C. 2
D. 3

Please help. Will make brainiest !!

Answers

Answer:

A) 0

Step-by-step explanation:

The actual definition of parallel lines are lines that never intersect, so the answer is 0

The number of times parallel lines intersect is (a) 0

How many times do parallel lines intersect?

From the question, we have the following parameters that can be used in our computation:

The list of options in relation to parallel lines

By definition of parallel lines, we have

Parallel lines are lines that extend indefinitely on both sides without intersecting

Using the above as a guide, we have the following:

Point of intersection = 0

Hence, parallel lines intersect (a) 0 times

Read more about parallel lines at

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2. Candles normally cost £6 each.
Two websites have special offers:
Candles R Us has 20% off
Waxz has a special offer, buy 3 get 1 free
Laura wants to buy 30 candles
Which website should Laura use​

Answers

Answer:  candies are us has a better offer

Step-by-step explanation:

for the candies r us website, the price of the candies is 30*6 then times 0.8=$144

and for waxz, if you buy 3 get 1 free, then you at least have to buy 3 candies 9 times, and that would be 18*9 which equals 162, which is more expensive then waxz

hope this helps!

please make me brainliest! thanks!

A researcher for a polling organization used a random sample of 1,540 residents in a city to construct a 95 percent confidence interval for the proportion of voters who would vote for candidate Jones. The resulting confidence interval was 0.480 ± 0.025. What is the correct interpretation of the confidence interval?

A proportion of 0.455 and 0.505 of respondents think that Jones has a 95% chance to win.

If 95% of all the voters voted, then Jones would receive between 45.5% and 50.5% of the votes.

The polling organization can be 95% confident that the interval from 0.455 to 0.505 captures the proportion of all city voters who would vote for Jones.

If we repeatedly sampled voters from this city, taking samples of size 1,540, approximately 95% of those samples would have between 45.5% and 50.5% voting for Jones.

Answers

Answer:

The polling organization can be 95% confident that the interval from 0.455 to 0.505 captures the proportion of all city voters who would vote for Jones.

Step-by-step explanation:

took the quiz

The polling organization can be 95% confident that the interval from 0.455 to 0.505 captures the proportion of all city voters who would vote for Jones.

What is confidence interval?

A confidence interval is a set of values used to estimate an unknown population parameter with a high degree of certainty. It is calculated from a sample of data and takes into account the sample's variability.

The polling organisation is 95% confident that the range of 0.455 to 0.505 accurately represents the proportion of all city voters who would vote for Jones.

This means that if the researcher repeated the sampling process a number of times and created a confidence interval for each sample, 95% of those intervals would contain the true proportion of all city voters who would vote for Jones.

Thus, it does not imply that the true proportion is 95% likely to fall within the interval.

For more details regarding confidence interval, visit:

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The following are a list of variables that will almost certainly vary across students in a large undergraduate introductory statistics course.
(a) Favorite beverage
(b) Year of birth
(c) Typing speed
(d) Handedness (e.g., left or right-handed)
(e) Age
(f) Occupation
(g) Self-report of Assertiveness
For questions 1a to 1d that follow choose the variable or variables that best represent the level of measurement.
a) Which variables would typically be measured on a nominal scale of measurement?
b) Which variable would likely be measured on an interval, but not a ratio scale?
c) Which two variables are most likely to be measured on a ratio scale?
d) As typically measured, which variable represents at least an ordinal scale of measurement, but probably not a true interval scale?

Answers

Answer:

a.) Favorite Beverage, Handedness, Occupation.

b.) Year of birth

c.) Age and typing speed

d.) Self-report of Assertiveness

Step-by-step explanation:

Scales of measurements are used in statistics to classify variables. The scale of measurement of a variable is important in statistics because it determines the kind of satisfaction analysis that should be used on it.

The four types of scale of measurement are;

1.) Norminal Scale: The normal scale is a categorical scale where variables are labeled with no specific order. No calculations can be done on this type of measurement because they do not have values and there is usually no order. Examples include;

Occupation, Favorite Beverage and Handedness.

2.) Ordinal Scale: This is used to show the order of variables. It is similar to the norminal scale with a slight difference. The ordinal scale has some form of ranking, that is some variables will be considered better or higher than others. Example include;

Self-report of assertiveness. Someone that claims to be highly assertive can be ranked above one that is just assertive.

3.) Interval Scale: This kind of measurements shows definite intervals between variables. It is like a scale where the order and the difference between variables are shown with no true zero value. Variables that fall under this category include; temperature and year of birth.

4.) Ratio Scale: This is the most accurate scale of measurement that encompasses the norminal, ordinal and interval scale of measurement. It has a zero value, shows order, interval and can still categorized. And example is the Age of students and typing speed.

In your backpack there are three math books, two science books, and five notebooks. If you reach into your backpack and select a math book, and then reach in and select a notebook, are these independent events? Explain.

Answers

Answer:

No, because grabbing the math book changed the odds of grabbing the notebook.

These are not independent events as you didn't replace the first book so that changed the probability that you would draw a notebook second , Option C is the answer.

What is Probability ?

Probability is the likeliness of an event to happen.

It is given that there are three math books, two science books, and five notebooks.

Total number of books = 3 + 2 + 5 = 10

The probability of drawing a mathbook is 3 / 10 = 0.3

and then if the mathbook is not replaced then the total outcomes for drawing a notebook changes.

Therefore they are not independent events and Option C is the answer.

To know more about Probability.

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please help me asap!!!

Answers

Answer:

6

Step-by-step explanation:

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