A set of data has a mean of 58 and only one outlier of 92. Which statement about this data set must be true?


The range is 34.

The range is 34.

The mode is equal to the mean.

The mode is equal to the mean.

The mean is greater than the median.

The mean is greater than the median.

The distribution curve is skewed to the right.

Answers

Answer 1

Answer:

The correct option is;

The distribution curve is skewed to the right

Step-by-step explanation:

The given parameters are;

The mean = 58

The outlier = 92

Given that the outlier, P, can be found from the following formula, we have;

P > Q₃ + 1.5·IQR = (Q₃ + 1.5 (Q₃ - Q₁)

92 > (Q₃ + 1.5 (Q₃ - Q₁)

Given that mean = 58

Therefore, the IQR, and Q₃ are relatively small compared to the outlier, and the data is skewed, with the more smaller numbers than there are large numbers which makes the distribution curve to be skewed to the right.


Related Questions


Convert y = x2 - 4x + 1 to vertex form by completing the square.

O y= (- 1)2 + 4
O y= (1 - 2)2 +5
O y= (x - 2)2 – 3
O y = (x - 4) + 1

Answers

Answer:

vertex: (-2, -3)

Step-by-step explanation:

y = x2 + 4x                 + 1  

y = x2 + 4x + 22          + 1 - 22  

y = (x + 2)2 + 1 - 4  

y = (x + 2)2 - 3            in y = (x - h)2 + k, (h, k) is the vertex.  

 

Answer:

y = (x - 2)² - 3

Step-by-step explanation:

Given

y = x² - 4x + 1

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 4x

y = x² + 2(- 2)x + 4 - 4 + 1

   = (x - 2)² - 3

2. The sum of the measures of the exterior angles of a triangle equals: 60 180 270 360​

Answers

Answer:

360

Step-by-step explanation:

the intirior angles equals 180 so ttthe outside have to equal 360

I need help what is -0.5 _ -0.2​

Answers

-0.5 < -0.2,
because I need more characters

)) Stefan estimates the income and expenses for renting
a phone accessory store in the mall. He enters the
amounts in the table shown. Should Stefan rent a
phone accessory store? Explain.
Estimated Income and Expenses
Type Amount Frequency
Sales
$950 Each week
Services
$2,875 Each month
Rent
-54,500 Each month
Travel
-$7.50 Each day
Merchandise -$1,650 Each month

Answers

Answer:

Stefan should rent a phone accessory store

Step-by-step explanation:

The given information are;

The total of the estimated income and expenses are given as follows;

Sales

Type [tex]{}[/tex]                      Amount  [tex]{}[/tex]                      Frequency

Sales [tex]{}[/tex]                      $ 950 [tex]{}[/tex]                          Each week

Services [tex]{}[/tex]                 $2,875 [tex]{}[/tex]                        Each month

Rent  [tex]{}[/tex]                     -$4,500 [tex]{}[/tex]                        Each month

Travel  [tex]{}[/tex]                   -$7.50 [tex]{}[/tex]                          Each day

Merchandise [tex]{}[/tex]         -$1,650 [tex]{}[/tex]                         Each month

Therefore;

Total sale = 4×950 = $3,800

Total services = $2,875

Total income =  $3,800 + $2,875 = $6,675

Total expenses = $4,500 + $7.50×30 + $1,650 = $6,375

Total profit = Total income - Total expenses = $6,675 - $6,375 = $300

Therefore, the net profit = $300.

Therefore, given that Stefan is able to make a net profit from his investment, he should rent a phone accessory store.

I NeEd HeLp
Solve the inequality.
4(x + 3) - 7 2 X+ 3(x + 1)
O x 5
Ox>3
O no solution
O all real numbers

Answers

Answer:

x 5. jjhwgehdhdjdhdhdhejrj

what percent is equivalent to 1/20​

Answers

Answer:

1/20 is 5%

Step-by-step explanation:

1/20 = 5%

20/20 = 100%

100 ÷ 20 = 5%

1/20 x 100 = 0.05 x 100 = 5%

Step-by-step explanation:

[tex]1 \div 20 =( 1 \times 5) \div (20 \times 5) = \\ 5 \div 100 = 5\%[/tex]

I need help please.

Answers

Answer:

10. y=the total amount of money

A) y=4m

B) y= 4(5.25)

y= $21

11. y= total amount of money

A) y= 40m + 35

B) y= 40(10) + 35

y= $435

Number 10:

You know five people, you and four friends, are contributing the same amount of money for food.  Lets say F = Food and M=Money.  Since they are contributing the same amount of money, it would be 5 * m, or 5m.  So, F would equal 5m.   F=5m.

Part B-  You would do the same expression, F=5m, but you would instead plug 5.25 in for m.  So, 5.25 times 5 would equal 26.25 dollars.

Number 11:

Part A- Let M equal months.  $40 times the number of months + 35 is the total cost, so 40m +35 is the expression.

Part B-  Since the total cost is 40 dollars times the number of months + $35, you would multiply 40 * 10, to get 400 dollars over 10 months.  Then you would add the $35 fee, so the answer would be $435.

jeana´s calculator display shows the number to the right.
a. express this number in scientific notation.
number to the right is 3.76EE13

Answers

Answer:

3.76EE13 is 3.76 * 10^13

Step-by-step explanation:

Here, we are to express what is written on the calculator in scientific notation.

Mathematically, that would be

3.76 * 10^13

The terms EE13 represent 10^13

EASY You make a salad to share with friends. Your sister eats 1/3 of it before your friends arrive. You want to divide the leftover salad evenly among six friends. Which expression describes the situation? *
A. 6 ÷ 2/3
B .2/3 ÷ 6

Answers

Answer:

b

Step-by-step explanation:

Answer:

I would have to say B, because 2/3 divided by 6 = 1/9. Plus, I think this would make sense considering we're dealing with a fraction problem. I hope this will help m8! ;)

Step-by-step explanation:

The value of (-1728)+ V324 is​

Answers

-1710

im pretty sure

Which analogy best represents the relationship between jobs and careers? "a muffin or a cookie," and a job is like "baked goods." "tools," and a job is like "a hammer or a screwdriver." "a building block," and a job is like "a castle or a tower." "a speedboat or a powerboat," and a job is like "a sailboat."

Answers

Correct options read:

A) A career is like “a muffin or a cookie,” and a job is like “baked goods.”

B) A career is like “tools,” and a job is like “a hammer or a screwdriver.”

C) A career is like “a building block,” and a job is like “a castle or a tower.”

D) A career is like “a speedboat or a powerboat,” and a job is like “a sailboat.”

Answer:

B) A career is like “tools,” and a job is like “a hammer or a screwdriver.”

Explanation:

Remember, a simile is a figure of speech that makes an analogy or that compares one thing with another thing of a different kind using words like 'as', or 'like'.

Hence, what this entails is that the career one pursues is like "tools", and what constitutes a person's career or "tool" is their job ("a hammer or a screwdriver").

Answer:

B: A career is like “tools,” and a job is like “a hammer or a screwdriver.”

Step-by-step explanation:

A hybrid car uses 1 gallon of gasoline to drive 54 miles. How many gallons of gasoline would be used to travel 162 miles?

Answers

Answer:

3 gallons

Step-by-step explanation:

if 1 gallon is consumed for 54 miles

what about 164 miles ..

so you take 1 * 162

..........

54

EMERGENCY! Please give me the correct answer!​

Answers

Answer: 10^4 · 4^5

Since 4^10 and 4^5 have the same base, and it's division, you can subtract the exponents.

(10^4 · 4^10)/4^5 = 10^4 · 4^(10-5) = 10^4 · 4^5

2(5x+5) + 9(x-10) + 9-squared

Answers

Step-by-step explanation:

We'll use BODMAS to solve this

Open the brackets :

2(5x+5)+9(x-10)+9sq = 10x+10+9x-90+81Then we arrange them accordingly :10x+9x+10-90+81 We then calculate :19x+10-90+81BODMAS :19x+91-90 = 19x+1ANSWER :19x+1

if the cost of carpeting a floor is $2.50 per foot how much will it cost to carpet a rectangular floor that is 10 feet by 12 feet

Answers

Answer:

300 dollars

Step-by-step explanation:

Multiply 10 feet by 12 feet to get the total number of feet needed

10x12=120 feet

120 times $2.5= $300

The cost to carpet a rectangular floor is $300.

Given that,

The cost of carpeting a floor is $2.50 per foot A rectangular floor that is 10 feet by 12 feet

Based on the above information, the calculation is as follows:

[tex]= 10 \times 12 \times \$2.50[/tex]

= $300

Learn more: brainly.com/question/17429689

Estimate and then solve the equation.


x − 174

5

= − 131

5


The estimated equation is

.

The estimated solution is x =

.

The actual solution is x =

.

Answers

Answer:

Estimate and then solve the equation.

x − 174

5

= − 131

5

The estimated equation is

✔ x – 18 = -13

.

The estimated solution is x =

✔ 5

.

The actual solution is x =

✔ 4 3/5

.

Hope this helps!

edugenuity

Solve for x and y.

(please help asap)

Answers

Answer:

x = 4

y = 1

Step-by-step explanation:

At first, let us find the third angle in the triangle which has a right angle and an acute angle of measure 52°

∵ The sum of the interior angles of a triangle is 180°

∴ 52° + 90° + (6x + 14y)° = 180°

→ Add the like terms

∴ 142° + (6x + 14y) = 180°

→ Subtract 142° from both sides

(6x + 14y)° = 38° ⇒ (1)

→ By using the two triangles

∵ The two triangles are congruent

(15x - 8y) = 52° ⇒ (2)

Now we have a system of equations to solve it

→ Multiply equation (1) by 5 and equation (2) by -2 to make the

   coefficients of x equal in values and different in signs

∵ 5(6x + 14y) = 5(38)

30x + 70y = 190 ⇒ (3)

∵ -2(15x - 8y) = -2(52)

-30x + 16y = -104 ⇒ (4)

→ Add equations (3) and (4) to eliminate x

∵ 86y = 86

→ Divide both sides by 86 to find y

y = 1

→ Substitute the value of y in equation (1) to find x

∵ 6x + 14(1) = 38

∴ 6x + 14 = 38

→ Subtract 14 from both sides

∴ 6x = 24

→ Divide both sides by 6

x = 4

what is $3 as a decimal​

Answers

Answer:

3.00

Step-by-step explanation:

Answer:

3.00

Step-by-step explanation:

Since three is a whole number, that means it would be in front of the decimal.

what is y=3x^2+24x+45

Answers

Factoring:
y = 3x^2 + 24x + 45
y = 3 (x^2 + 8x + 15)
y = 3 (x + 3) (x + 5)

Vertex Form:
y = (3x^2 + 24x )+ 45
y = 3 (x^2 + 8x) + 45
y = 3 (x^2 + 8x + 16) + 45 - (16•3)
y = 3 (x + 4)^2 - 3

Vertex form was done by completing the square.

HELP PLEASE THIS IS DUE IN FIVE MINUTES

Answers

Answer: 0, 50

Step-by-step explanation: (h=0), 0=2t+100

2t=100

t=50

hopefully this helps

Answer: 0, 50
Explanation:

A survey asks students to name their favorite outdoor activity. 12 students say bike riding, 8 students say climbing trees, and 5 students say swimming. Mia says that 40% olf the students say their favorite activity is climbing trees. Is she correct? Explain

Answers

Answer:

Mia is incorrect. 32% of the students say climbing trees is their favorite.

Step-by-step explanation:

Percentage of the students that chose climbing trees = number of students that chose climbing trees ÷ total number of students surveyed × 100

Number of students that chose climbing trees = 8

Total number of students = those that chose riding bike + those that chose climbing trees + those that say swimming = 12 + 8 + 5 = 25

Therefore,

% of the students that say climbing trees = [tex] {8}{25}*100 = \frac{800}{25} = 32 [/tex].

Mia is wrong.

32% say climbing trees is their favorite. NOT 40%.

Simon went to high school from 2012 to 2017. He was born when his father was 25. Simon’s parents met while they were in high school together. Part A Choose the compound inequality that describes the year x when Simon’s parents met.

Answers

Answer:

Simon started High school in the year 2012.

One usually starts highs school when is 14 years old.

So we can assume that Simon was born 14 years before 2012:

2012 - 14 = 1998

Now, Simon's parents may have met in the beginning of 1998, and Simon was born by the end of 1998. But in that case, Simon would be 13 at the beginning of school, instead of 14.

Then Simon's parents should have met before 1998.

Then the inequality that we have:

x < 1998.

And Simon was born when his father was 25 years old.

Then in 1998, Simon's father was 25 years old.

Meaning that he was born around:

1998 - 25 = 1973.

This means that Simon's parents met in-between the years 1973 and 1998.

1973 < x < 1998

What value of x satisfies 6x - 8 = 22 - (x - 5)?
A. 6
B, 5
C. 4
D. 7

Answers

Answer:

B

Step-by-step explanation:

6(5)-8=22-(5-5)

30-8=22

22=22

EASY MATH QUESTION PLEASE I NEED HELP! ​

Answers

Answer:

x=8/3

Step by step

determine the defined range

remove parentheses

move the terms

collect like terms and calculate

divide both sides

Cube root of a negative number is
(a) Positive
(b) 0
(c)negative
(d)not define ​

Answers

Answer:

(c) negative

Step-by-step explanation:

hope this helps

Can someone help please?

Answers

Answer:

It’s either A or C. However I’m mostly going with C. For C tells us 2 hours and 23 minutes have passed. I hope this helps.

Step-by-step explanation:

Please correct me if I am wrong.

The answer is 2 hours and 23 minutes

HURRY!
If Johnson had 1800 apples, and gives 347 to his mon, and hid dad gave him 2876, how many apples does he have.

Answers

johnson has 4,329 apples

Answer:

4329

Step-by-step explanation:

I coan't really explain this sorry.

I hope this helps though!

Also if it's correct could I have a Brainly I need 1 more to level up :3 Thx!

Lets work on an old skill you ve already learned!
Determine the following for the set of data
13, 18, 13, 14, 13, 16, 14, 21, 13
Mean
Median
Mode
Range

Answers

Answer:

mean:15

median:14

mode:13

range: 8

Kay needs to fix part of her fence.She can buy 6 feet of fencing for $32.00 at a fencing store or 10 feet of fencing for $52.50 at a home store.She visits another store that sells 8 feet of fencing for a certain cost.The cost per foot is between that at the fencing store and the home store.How much the store charge for 8 feet of fencing?

Answers

Answer

42.66

Step-by-step explanation:

each foot is 5.33 so 5.33 x 8 is 42.66

Which of the following statements is true?

The number 0 is a natural number.
The number is an integer.
The value π is a rational number.
The number -5 is a real number.

Answers

Answer: the number -5 is a real number

Real numbers are both negative and positive numbers. -5 is a negative number. Since real numbers include negative numbers, -5 is the answer.

Hope this helps!

Answer:

the number -5 is a real number

Step-by-step explanation:

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