The number of hours worked by the employees of Bob's Car Wash in one week are listed.

20, 40, 30, 36, 36, 40, 39, 36, 38

The mean is 35 hours per week and the median is 36 hours per week.

Which statement best explains why the mean is less than the median?

O

A. There are only 9 employees.

O

B. Nobody works more than 40 hours.

O

c. The smallest number is half the largest.

O

d. One worker works much fewer hours than everyone else.

PLEASE HURRY

Answers

Answer 1

Answer:

Option D

One worker works for much fewer hours than everyone else

Step-by-step explanation:

First of all, we will need to clarify the concepts.

The median of a distribution is the middle number in that distribution, after the values have been arranged in either an ascending or descending order.

The mean is a weighted average of a distribution.

The mean has the characteristic of  usually being affected by extremely low or extremely high values.

In our case, we have a relatively low value in terms of hours worked. This means that in the distribution, the worker that worked only 20 hours, will affect the mean hours worked by all the workers, making it lower than the median value.  

Means give better results, when used to analyse distributions with smaller ranges.


Related Questions

1. A three-dimensional figure that has one vertex and one circular base is known as a:

Answers

Answer:

cone

Step-by-step explanation:

Probability
Consider the following set of numbers:
{1,2,3,4,5,6,7,8,9,10)
What is the probability of drawing an odd number or a
multiple of 3?
9/10
1/2
7/100
3/5?​

Answers

Answer:

1/2

Step-by-step explanation:

Arial says that, for any pair of linear relations, if the coefficients of the y-terms are equal and the coefficients of the x-terms are equal, the graphs of the two lines will be parallel.
a. Give an example for which Arial's claim is true.

b. Give an example for which Arial's claim is false.

c. Suggest an improvement to Arial's claim.

Answers

Answer:

a. Give an example for which Arial's claim is true.

If linear relations have equal coefficient about the independent variable, then those linear relations are parallel. For example, [tex]y=3x+4[/tex] and [tex]y=3x-5[/tex].

Notice that the coefficient of the dependent variable must be also equal, otherwise it would change the slope of the expression and they wouldn't be parallel.

b. Give an example for which Arial's claim is false.

The statement is not false.

c. Suggest an improvement to Arial's claim.

An improvemente would be that the constant term no need to be equal too, between linear relations, because they can be at "differecent heights", sort of speak.

Which could be the area of a face of the rectangular prism?

A rectangular prism with a length of 3 meters, width of 4 meters, and height of 2 meters.

5 m2
6 m2
7 m2
9 m2

Answers

Answer:

[tex]6m^{2}[/tex]

Step-by-step explanation:

well we are looking for a face of the rectangular prism.

the front face of the rectangular prism is length times height

which is 3 times 2 = [tex]6^{2}[/tex]

if we did any other face, like the side which is width times height ( 8 meters) it is not one of the answers.

so the only face that can be answers is length times height.

therefore the answer is

6m^2

i rly hope this helps!! :)

Answer:

the answer is B .

Step-by-step explanation:

Kira is using the figure shown to prove the Pythagorean theorem. She starts by writing the
equation (a + b)2 – 2 = 4( ab) because she knows two equal ways to represent the area
of the shaded region. Which best describes the next steps Kira should take to complete her
proof?

Answers

Answer:

B. Simplify both sides of the equation to get [tex]a^2 + 2ab + b^2 - c^2 = 2ab[/tex]; then subtract 2ab and add [tex]c^2[/tex] to both sides of the equation

Step-by-step explanation:

Given

[tex](a + b)^2 - c^2 = 4(\frac{1}{2}ab)[/tex]

Required

Describe the next steps to

First, we open all brackets

[tex](a + b)^2 - c^2 = 4(\frac{1}{2}ab)[/tex]

[tex](a + b)(a + b) - c^2 = 4(\frac{1}{2}ab)[/tex]

[tex]a^2 + 2ab + b^2 - c^2 = 4 * (\frac{1}{2}ab)[/tex]

[tex]a^2 + 2ab + b^2 - c^2 = 2ab[/tex]

At this point, options A and C are incorrect because they didn't present the right result of the expression.

So, we have options B and D to consider

The next step is to subtract 2ab from both sides

[tex]a^2 + 2ab + b^2 - c^2 - 2ab = 2ab - 2ab[/tex]

Collect like terms

[tex]a^2 + b^2 - c^2 +2ab - 2ab = 2ab - 2ab[/tex]

[tex]a^2 + b^2 - c^2 = 0[/tex]

Lastly, to prove the Pythagoras theorem, the equation has to be in form of[tex]a^2 + b^2 = c^2[/tex]; meaning the [tex]c^2[/tex] is added to both sides; See below

[tex]a^2 + b^2 - c^2 = 0[/tex]

Add [tex]c^2[/tex] to both sides

[tex]a^2 + b^2 - c^2 + c^2= 0 + c^2[/tex]

[tex]a^2 + b^2 = c^2[/tex]

At this point, only option B completes Kira's proof

Answer:

It’s B

Step-by-step explanation:

I did the test

Find the distance between (6, −2) and (1, −2).

Question 14 options:

5 units

6 units

7 units

4 units

Answers

Answer:

5 units

Step-by-step explanation:

the formula is delta y over delta x.

The distance between -2 and -2 is 0

The distance between 6 and 1 is 5

So, it's 5 units.

Hope this helps :)

i need your help please asap

Answers

Step-by-step explanation:

First we will calculate the total amount spent on each website so

Website A = 49.95 + 4.39 = 54.34

Website B = 47.68 + 6.95 = 54. 63

So website A is cheaper by €0.29

Website A is cheaper by .29

A manager samples the receipts of every fifth person who goes through the line. Out of 50 people, 4 had a mispriced item. If 1,600 people go to this store each day, how many people would you expect to have a mispriced item?

Answers

Answer:

128

Step-by-step explanation:

There are 32 50's in 1600.

So 32x4=128

What is the slope of a line that is parallel to the line shown?

Question and options in images below.

Answers

Answer: m= 2/3

Step-by-step explanation:

4/6 simplify into 2/3

Solve for x
HELPP PLEASEE
20 points!

Answers

Answer:

[tex]\sqrt{119}[/tex]

Step-by-step explanation:

Basically you need to have the third value of the other triangle to be able to solve for the other triangle. Use pythagorean theorem to find the missing values.

a^2+5^2=10^2

a^2+25=100

a^2=75

square root of 75

a=5[tex]\sqrt{3}[/tex]

5[tex]\sqrt{3}[/tex]^2+x^2=12^2

[tex]\sqrt{119}[/tex]

Answer:

8 1/3, or 8.307

Step-by-step explanation:

First we need to get the measurement of the division line, or the middle line. We can use the Pythagorean Theorem! How exciting!

[tex]10^{2} - 5^{2} = 75[/tex]

Now, you have two options:

A) If you are good at math and can understand shortcuts, there is no need to take the square root of this, as you will instantly have to square it as we use it in the second half.

B) If you need to have something written down for your though process, go ahead and square root 75.

I am going to use option A, but if you need me to explain why we do not have to take the square root, follow along, and if you still do not get it, do not be afraid to ask!

For the second half of the problem, to find x, we must again use the Pythagorean Theorem!

[tex]12^{2} = x^{2} + 75[/tex]

144 - 75 = 69

[tex]\sqrt{69} = 8.30662386292[/tex]

And now we are done, with a final answer of 8.307, or [tex]8\frac{1}{3}[/tex]!

Hope this helps! Math is fun!

Use the population data set of the price, in dollars, of a milkshake at five different restaurants: 2, 4, 6, 9, 14.
The mean is 7.
Which of the following is the approximate standard deviation for the set?

Answers

Answer:

The standard deviation of the set is 4.2

Step-by-step explanation:

The standard deviation (sd) for the set is calculated as follows:

sd² = [(x1 - mean)² + (x2 - mean)² + ... ]/N

where x1, x2, et cetera are the values in the set and N is the number of elements in the set. Replacing with data:

sd² = [(2 - 7)² + (4 - 7)² + (6 - 7)² + (9 - 7)² + (14 - 7)²]/5

sd = √17.6

sd = 4.2

Please Help!!!!!
I need the answer!!!!​

Answers

Answer:

It's the first one

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

x=y

they are the same numbers

Drake rolls two fair number cubes.
ANN
1
2
| 3
4
5
6
1
1
2
3
4
5
6
2 3 4 5
2 3 4 5
4 6 8 10
6 9 12 15
8 12 16 20
10 15 20 25
12 18 24 30
6
6
12
18
24
30
36
What is the probability that the product of the two numbers Drake rolls is less than 14? Enter your answer
as a fraction in simplest form
The probability that the product is less than 14 is

Answers

Answer:

23/36

Step-by-step explanation:

In the figure attached, the possible outcomes are shown. We can see that there are 6*6 = 36 total outcomes, 23 of them are less than 14. Then the probability that the product of the two numbers Drake rolls is less than 14 is 23/36

What is the surface area of the cylinder with height 5 m and radius 8 m?
Round your answer to the nearest thousandth.

Answers

Answer: 653.45m²

I  got it right thats why

Find the difference. Write your answer in standard form.
(5x3−3x+6)−(2x2−4x+8)

The difference is _______

Answers

Answer: 5x^3 + x-6

Step-by-step explanation:

PLEASE HELP I WILL MARK BRAINLIEST

Right to expressions that are equivalent to the expression below.
(9-c) + (9-c) + (9-c) + (9-c)

Answers

Answer:

36-4c

plz mark brainliest

36-4c................

sandra cut her sandwich into 3 equal parts. she ate 1 part for lunch. what fraction of the sandwich did sandra eat for lunch?

Answers

Sandra ate One-Third (1/3) of her sandwich for lunch.

Please mark me Brainliest!! You don’t have to though!!

Which number is divisible by 3?
A 137
B 136
C 138
D 41

Answers

Answer:

C (148)

Step-by-step explanation:

All numbers divisible by 3:

The numbers equal to something divisible by 3

ex:

138=

1+3+8= 12 which is divisible by 3, so 138 is divisible by 3

Answer:

138

Step-by-step explanation:

We know that if the sum of the numbers that make up 138 is divisible by 3, then 138 is divisible by 3. Note: If you divide 138 by 3, you get 46 which is a whole number.

17. Which of the following forces is not a
long-range force?
A) gravitational force
B) friction
() electric force
D) magnetic force

Answers

Answer: D. Magnetic Force

Step-by-step explanation:

The range isn't compatible from a long distance. Only when close to contact.

Answer:

the answer is magnetic force

hope this helps u

What is the correct answer..

Answers

Answer:

64 feet

Step-by-step explanation:

To find the height of the kite we use sin trigonometric ratio.

Let the height of the kite from the ground be x feet.

[tex] \therefore \: \sin 40 \degree = \frac{x}{100} \\ \\ \therefore \: 0.6427876097= \frac{x}{100} \\ \\ \therefore \: 0.6427876097 \times 100= x \\ \\ \therefore \:x = 64.29 \\ \\ \therefore \:x = 64 \: feet[/tex]

While shopping at a clearance sale, Samantha finds a $60.00 dress on sale for 25% off. Samantha also has a 50% off coupon
Which statement correctly summarizes her savings?
Samantha will save $45.00 because the two sales will combine for 75% off the original cost.
Samantha will save $37.50 because she must first find the 25% sale price before taking the extra 50% reduction
Samantha will save $22.50 because she must first find the 25% sale price before taking the extra 50% reduction
Samantha will save $15.00 because the two sales will combine for 75% off the original cost


PLEASE HELP!!!!

Answers

Answer:

Samantha will save 45 dollars because the two sales will combine for  75 percent off the orignial cost.

Step-by-step explanation:

50 + 15 equals 75

75 percent off of 60 equals 15 dollars

60-15 equals 45 dollars so she saved 45 dollars.

Answer:

Samantha will save 45 dollars because the two sales will combine for  75 percent off the orignial cost.

Step-by-step explanation:

50 + 15 equals 75

75 percent off of 60 equals 15 dollars

60-15 equals 45 dollars so she saved 45 dollars.

Step-by-step explanation:

Please help!!! i attached the problem.

Answers

Answer:

y>7.5

line under inequality sign.

Step-by-step explanation:

which value makes the equation
3x - 6 = 36 true?
a) 10
b)12
c)14
d)16​

Answers

Answer:

C) 14

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 6 to both sides:

3x - 6 (+6) = 36 (+6)

3x = 36 + 6

3x = 42

Next, divide 3 from both sides:

(3x)/3 = (42)/3

x = 42/3

x = 14

c) 14 is your answer.

~

think: 1 cartoon = 1

Answers

Answer:

1 cartoon = 1 dance

Step-by-step explanation:

Not sure what the question asks for?

Answer:

SpongeBob

Step-by-step explanation:

Is that what you wanted?

Enter the equation of the circle with the given center and radius.
Center: (0,3); radius: 3
The equation of the circle is

Answers

Answer:

x² + (y - 3)² = 9

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (0, 3) and r = 3, thus

(x - 0)² + (y - 3)² = 3², that is

x² + (y - 3)² = 9 ← equation of circle

What’s the missing leg length

Answers

Answer:

a = 80

Step-by-step explanation:

This is a right triangle so we can use the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

a^2 + 60^2 = 100 ^2

a^2 +3600=10000

Subtract 3600 from each side

a^2 = 10000-3600

a^2 =6400

Take the square root of each side

a = sqrt(6400)

a = 80

HELP ASAP FIRST CORRECT GETS BRAINLIEST

Answers

Answer:

Right

Step-by-step explanation:

Answer: the first one is x less than 468 and the second one is  and open circle at 468 and the third one is  go left

Step-by-step explanation:

it would be a open circle if it wasnt a line under it and it would move the oppisite which is the left

Determine whether 90.5m .92m is equivalent to each of the following expressions.
Equivalent
Not equivalent
ვნm
81m
92.5m

Answers

Answer:i think it is 92.5

WILL MARK BRAINLIEST! A bag has 4 blue marbles, 6 green marble and 3 red marbles in it. What is the ratio proportion of pulling a red or green marble from the bag ? *

Answers

Answer:

9:13

Step-by-step explanation:

The label that wraps around a a can is 4 inches long. How wide is the can?​

Answers

1.273 is the answer

bc the label is circumference and the width would be diameter

so circumference divided by pi is diameter

so 4 ÷ 3.14 = 1.273

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