A statistics teacher gives a multiple-choice exam with 20 questions. The teacher wants to discourage guessing on the exam, so for each question the student earns 1 point for a correct answer, 0 points for no answer, and -1 point for a wrong answer. Consequently, if a student answered every question incorrectly the student would earn a score of -20 on the exam. However, if a student answered every question correctly, the student would earn a score of 20 on the exam. After the exam, the teacher distributes the list of test scores and asks the class to calculate the standard deviation. The first student to finish the calculations says that the standard deviation is -1.8.

a. True
b. False

Answers

Answer 1

Answer:

b. False

Step-by-step explanation:

The answer is false because the standard deviation was miscalculated.

We can compute the formula for calculating the standard deviation as:

[tex]\sigma = \sqrt{\dfrac{\sum (x_i-\overline x)^2}{n}}[/tex]

As a result of the  square in the numerator of the summation, the square [tex]\sum (x_i-\overline x)^2[/tex]   is usually non-negative.

Even if the data is positive, negative or zero, as a result of the above claim, the standard deviation is always non-negative.

Thus, the fact that the first student who finishes the calculation first and claim that the standard deviation is -1.8 is false.


Related Questions

Please help ill vote you brainliest. [tex]-2 ^-3[/tex]

Answers

Answer:

Ok.

Your answer is -1/8

Have a nice day!

Step-by-step explanation:

I believe the answer is - 1/8

Convert the following into percentage. 2.00 =

Answers

Answer:

2/100

Step-by-step explanation:

to find a percentage you times by a hundred

Each line of a computer printout contains 72 characters. A: how many characters can print in a 75-line report? B:The computer printer can print 135 characters each second. How long will it take to print this report.

Answers

5 pages X 60 minutes = 300 pages per hour

It will take 1 hour to print 300 pages on a printer that prints at 5 pages per minute. Do you have enough ink to print 300 pages?

If x > 0 and y > 0, where is the point (x, y) located?

Answers

Answer:

Quadrant I, see both images below...

Step-by-step explanation:

7:8:9=__:12:__ 20 characters lolololol

Answers

Answer:

21/2  : 12  : 27/2

Step-by-step explanation:

7:8:9=__:12:__

12/8 = 3/2

Multiply each term by 3/2

7*3/2  :8* 3/2  :9*3/2

21/2  : 12  : 27/2

Could you please answer these

Answers

Step-by-step explanation:

here u gggggggggggggggoooo

Answer:

x = 4, y = 2 or (4, 2)

Step-by-step explanation:

Given :-

2x + 3y = 14 -(1)

 x +  3y = 10 -(2)

To Find :-

x and y

Solving :-

Subtract (2) from (1).

=> x =  4

Substituting value of x in Equation 2 :-

4 + 3y = 10

3y = 6

=> y = 2

Solution :-

x = 4, y = 2

Jen was making cake pops for the bake sale. After 3 hours, she had completed half of the work. She called Maryna for help and together they finished everything in half an hour. How long would it take Maryna to finish the job alone if she replaced Jen after Jen baked for 3 hours?

Answers

Answer:

Your answer is: t = (1/2 * 6/12) / (5/12) (which equals) t=3/5 or in decimal form t= 0.6

Step-by-step explanation:

It says, " After 3 hours, she had completed half of the work" it means it would take all together Jen 6 hours to do the entire job.

It says, " together they finished everything in half an hour", so that means Jen does an a little bit more work, [1/2 / 6] or 1/12 for the entire job , and Maryna does 5/12 of the whole job in 1/2 hr.

Then, the equation would have been (5/12) / (1/2) = (6/12) / t, and the time for  Maryna to finish on her own  portion she would be doing 6/12 (half) of the whole job.

So therefore Your answer is: t = (1/2 * 6/12) / (5/12) (which equals) t=3/5 or in decimal form t= 0.6 :)

Hope this helped : )


1. Alex decided to look at new and used SUVs. He found a used SUV for $24,000. if a new SUV is $32,000, what percent of the price of a new
SUV does Alex pay for a used SUV

Answers

Answer:

25%

Step-by-step explanation:

used SUV = $24000

new SUV = $32000

find the differences between the new SUV and the used SUV.

$32000 - $24000 = $8000

take the difference price and divide by original price ( $32000 ), multiply with 100

8000/32000 x 100

=25%

Jennifer is planning a holiday. The hotel costs $130 per night and her flight costs $600. She has a budget of $2,000 for hotel and flights.
If x represents whole nights at the hotel, complete the inequality below to show how many nights Jennifer can afford. The answer must be a whole number.

Answers

Answer:

kindly house you have a good day and I will be there

Answer:

you  can get one hotel

Step-by-step explanation:

1. The amount of extension in an elastic spring varies directly as the weight hung on it. If a weight of 150 gm produces an extension of 2.9 cm, then what weight would produce an extension of 17.4 cm

Answers

Answer:

900 g

Step-by-step explanation:

let e be extension and w be weight

given e varies directly as w then the equation relating them is

e = kw ← k is the constant of variation

to find k use the condition w = 150 , e = 2.9 , then

2.9 = 150k ( divide both sides by 150 )

[tex]\frac{2.9}{150}[/tex] = k , that is

k = [tex]\frac{29}{1500}[/tex]

e = [tex]\frac{29}{1500}[/tex] w ← equation of variation

when e = 17.4 , then

17.4 = [tex]\frac{29}{1500}[/tex] w ( multiply both sides by 1500 )

26100 = 29w ( divide both sides by 29 )

900 = w








Find the G.C.D. of the following:
(a) 30, 45, 75

Answers

Answer:

15

Step-by-step explanation:

We can start by trying to figure out the divisors for each number. A divisor is a whole number that we can multiply by another whole number to equal our target number.

For example, 2's divisors would be 2 and 1, because we can multiply 2 and 1 together to get 2.

30's divisors would be: 1, 30, 2, 15, 3, 10 4, 5, 6

45's divisors would be: 1, 45, 3, 15, 5, 9

75's divisors would be: 1, 75, 3, 25, 5, 15

We should start with 30's divisors because we're searching for a greatest common divisor, so we have to make sure that divisor still fits into the smallest number. Additionally, we should go from biggest to smallest because by eliminating the highest possibilities first, we can ensure that our answer will be the biggest possible one without having to check every single one.

30's biggest divisor is 30, but neither 45 nor 75 have it. 30's next biggest divisor is 15, and that is a common divisor between 45 and 75. Since we worked from the biggest to the smallest, we also know that it is the highest possible common divisor.

That means the G.C.D. of 30, 45, and 75 is 15.

im in the 6th and im helpful and i like to do math

Answers

Answer:

ok

Step-by-step explanation:

The sum of four consecutive even integers is 180

Answers

The next four consecutive even numbers would be A+8, B+8, C+8, & D+8. Consequently their sum would be 180+4*8 = 212.

A video store took in $450 in DVD rentals during one day. If DVDs rent for $9 each, how many DVDs were rented.

Answers

Answer:

50

Step-by-step explanation:

This is because if each DVD costs $9 and the total cost was $450 then all you have to do is divide the numbers.

50

The solution is like this,
450/9= 50

The smaller of two consecutive even integers is five more than one half of the greater. Find the integers.

Answers

Answer:

12, 14

Step-by-step explanation:

Let's call the smallest number n.

Let n + 2 = the larger even integer.

Let's write our equation:

"The smaller of two consecutive even integers is five more" would be +5 and "nne half of the greater" can be written as [tex]\frac{1}{2}[/tex](n + 2).

n = 5 + [tex]\frac{1}{2}[/tex](n + 2)

Solvew for n.

n = 5 + [tex]\frac{1}{2}[/tex](n + 2)

Let's multiply each side by 2, to get rid of the fraction, [tex]\frac{1}{2}[/tex].

2 (n) = 2(5 + [tex]\frac{1}{2}[/tex](n + 2))

2n = 2* 5 + 2*([tex]\frac{1}{2}[/tex](n + 2))

2n = 10 + (n + 2)

2n = 10 + n + 2

2n = 10 + 2 + n

2n = 12 + n     Subtract n from each side.

2n - n = 12 + n - n

2n - n = 12

n = 12

Let's solve for our other integer:

n + 2 = 12 + 2 = 14

So our 2 consecutive, even integers are

12 and 14

What expression shows 3 less than a number?
A. n + 3
B. n - 3
C. 3 - n
D. 3n

Answers

Hey there!

Remember, 3 less than a number means we subtract 3 from that number.

It's the same as "a number minus 3"

Now, let's check all 4 options and see which one's right.

The first one is

n+3

Well, that's definitely not the right option, because it says "a number plus 3"

Is it Option B? Yeah!

Because n-3 is the same thing as "a number minus 3"

Is it Option C? Nope!

Because 3-n is the opposite of "a number minus 3"

Is it Option D? no.

Because 3n means "3 times a number"

Hence, the right expression is

[tex]\boxed{\boxed{\bold{n-3}}}[/tex]

Hope everything is clear.

Let me know if you have any questions; if so, please comment.

#LearningDoesn'tEnd

#LearningIsFun

Which expression is equivalent to (4^5/4x4^1/4/4^1/2)^1/2?

Answers

Answer:

2

Step-by-step explanation:

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

n: Find the area of each shaded region. Assume that tangies are right angles. 2.​

Answers

I really don’t know but try googling it like literally copying and pasting and you may/may not get your answer…

Hope this helps!

don’t know what the answer is pls help

Answers

Answer:

2.04

...

...

....

.

.................

In the expression below, a is an integer.
12x2 + ax - 20
If 3x + 4 is a factor of the expression above, what is
the value of a ?

Answers

Answer:a=1

Step-by-step explanation:

795 times 12 then add 6754 then divided by 7

Answers

Answer ISSSSSSSSSSS

2,327.71

Answer:

795 * 13 + 6754 / 7 = 2,327.71

Step-by-step explanation:

795 * 13 + 6754 / 7 = 2,327.71

The graph to the right is the uniform probability density function for a friend who is x minutes late.
(a) Find the probability that the friend is between 10 and 20 minutes late.
(b) It is 10 A.M. There is a 30% probability the friend will arrive within how many minutes?

Answers

Using the uniform distribution, it is found that:

a) There is a 0.3333 = 33.33% probability that the friend is between 10 and 20 minutes late.

b) Within 9 minutes.

What is the uniform probability distribution?

It is a distribution with two bounds, a and b, in which each outcome is equally as likely.

The probability of finding a value of at lower than x is:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

The probability of finding a value between c and d is:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

Researching the problem on the internet, it is found that the variable is uniform with a = 0 and b = 30.

Item a:

[tex]P(10 \leq X \leq 20) = \frac{20 - 10}{30 - 0} = 0.3333[/tex]

There is a 0.3333 = 33.33% probability that the friend is between 10 and 20 minutes late.

Item b:

This is x for which P(X < x) = 0.3, hence:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

[tex]0.3 = \frac{x}{30}[/tex]

[tex]x = 9[/tex]

Within 9 minutes.

To learn more about the uniform distribution, you can check https://brainly.com/question/13889040

A line passes through the point (8,3) and has a slope of 5/2 . write an equation in point-slope for this line

Answers

Step-by-step explanation:

y = mx + c

(3) = (5/2) (8) + c

c = - 17

y = 5/2 x - 17

How do you identify a table as linear, exponential, or quadratic?

Answers

The way to identify these tables is through the way that the value of y increases.

How to identify a linear table

A linear table is a table that increases or decreases by a common difference. Check the attachment to see how it increases.

How to identify an exponential table

This is the table that the value increases with a common ratio. The y value doubles in this case.

How to identify a quadratic table

This is a table that has a constant second difference.

Read more on Quadratic and linear functions here:

https://brainly.com/question/25841119

Need help with question 7 and 8

Answers

Click here for explanation: https://brainly.com/

Josephine decides this shed is a little too big. She decides to cut 2 feet off the length and 2 feet off the width. She says this will make the shed 4ft^3 smaller. Explain with words and numbers why Josephine is incorrect

Answers

Answer:

Josephine needs to include the height as part of the volume calculation.

Step-by-step explanation:

See attached image.

What is the inverse of the function h(x) = 2x + 1?

Answers

Answer:

h^-1(x)=(x-1)/2

Step-by-step explanation:

We can rewrite the function as y=2x+1, switch the y and x, x=2y+1, and simplify to y=(x-1)/2.

what is the acceleration of a baseball when its speed increases from 1 m/sec to 25 m/sec in 1 second?

Answers

Answer:

24 m/s²

Step-by-step explanation:

Acceleration is change in velocity over time.

a = Δv / Δt

a = (25 m/s − 1 m/s) / 1 s

a = 24 m/s²

Construct a line through the point (3,1) that is perpendicular to the line through (2,12) and (5,18). Answer in slope-intercept form.

Answers

Answer:

  y = -1/2x +5/2

Step-by-step explanation:

The equation of the desired line can be determined by first finding the slope of the line between the two reference points. Then the point-slope equation of the desired line can be written, and that can be rearranged to slope-intercept form.

__

The slope of the line between two points is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (18 -12)/(5 -2) = 6/3 = 2

The slope of the perpendicular line is the opposite reciprocal of this:

  m' = -1/m = -1/2

__

The point-slope equation of a line is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

The line we want can be described by the equation ...

  y -1 = -1/2(x -3) . . . . . line with slope -1/2 through point (3, 1)

__

Rearranging to slope-intercept form, we find ...

  y = -1/2x +3/2 +1

  y = -1/2x +5/2

_____

Additional comment

The geometry program used to draw the figure in the attachment shows the line's equation in standard form to be ...

  x +2y = 5

Solving for y gives the slope-intercept equation:

  2y = -x +5 . . . . . . . . subtract x

  y = -1/2x +5/2 . . . . . divide by 2

Wanda pays $19.50 per month for her gym membership. She can take yoga classes at her gym that
cost an additional $8 per class. At the end of January, she paid $43.50 in total. How many yoga classes
did Wanda take in January? Write and solve an equation.

Answers

Answer: She took 6 yoga classes

Step-by-step explanation: So first

Subtract

$43.50 - $19.50 = $24

Carry then Divide

$24 / 8 = 6 Classes

PLEASE MARK ME BRAINLIEST!!!

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