A list has 80 numbers, of which the largest is 768. Suppose that the 768 is replaced by 868. Does the median of the list change? If yes, how much? If no, why not? Does the mean change? If yes, how much? If no, why not? ·Does the 10% trimmed mean change? If yes, how much? If no, why not?

Answers

Answer 1

Median may change by 100, mean changes by at most 100, 10% trimmed mean does not change.

How does replacing the largest number affect the median, mean, and 10% trimmed mean?

Replacing the largest number in a list of 80 numbers from 768 to 868 will result in a change in the median and the mean, but not in the 10% trimmed mean.

The median will increase by 100 since it is the middle number when the list is sorted, and replacing the largest number will shift the original largest number down by one position.

The mean may change by at most 100, as the change in the largest number is divided among all the numbers in the list, so the effect on the mean depends on the distribution of the numbers in the list. The 10% trimmed mean does not change since it removes the top and bottom 10% of the data, regardless of the values in those positions.

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Related Questions

Find the sum.
3/7+-1/7

Answers

Answer:

2/7

Step-by-step explanation:

set the equation as 3/7-1/7

by adding a negative to a positive you're subtracting

Answer:

2/7

Step-by-step explanation:

adding a negative is the same thing thing as subtracting a positive

so

3/7 + (-1/7) = 3/7 - 1/7 = 2/7

Daniel used to collect baseball cards as a kid. He purchased a particular
card for $30 in 2006 and the value of the card increases by 2.5% per year.
How much is his card worth now (in 2021)? Use units and round
appropriately.

Answers

Answer:

[tex]y < 85 \div \div 9614 = 88[/tex]

Ты лоххх

A two digits number is 21 times the difference and 350% of the product of its digit. Find the quotient of the digit of number​

Answers

The number is 63, so the quotient is 2.

Two digit numbers divisible by 21:
21, 42, 63, 84

21: 2-1 = 1 * 3.5 = 3.5
3.5*2*1 = 7 but 7 does not equal 21

42: 4-2 = 2 * 3.5 = 7
3.5*4*2 = 28 does not equal 42

63: 6-3 = 3*3.5 = 13.5
3.5*6*3 = 63 :)

Check:
21(6-3)=21(3)= 63 :)
3.5(6)(3) = 21(3) = 63 :)

63: 6/3 = 2

AKAJAXOSPAPXODAOAPA HELP

Answers

Answer:

He used 6 bananas at .50 which cost $3.00

12 oranges at .75 which cost $9.00 and

3 papayas at $1.25 which cost $3.75

Step-by-step explanation:

We can set up a system of equations using the information given.

b for banana, r for orange, p for papaya

b + r + p = 21. Also given r = 2b So substitute to simplify for calculating two unknowns:

b + 2b + p = 21 The number of items.

50b + 75(2b) +125p = 1575 The cost.

I multiplied everything by 100 to eliminate the decimals.

To solve by substituion, rewrite the first equation to get a value for p in terms of b

p = 21 - 3b

Substitute this value in the second equation and solve for b.

50b + 150b + 125(21–3b) = 1575

200b +2625 –375b = 1575 Subtract 2625 from both sides and combine the like terms:

–175b = 1575 –2625

–175b = –1050. Divide both sides by –175

b = 6

Substitute in the original equation to find the amount of each fruit:

b + r + p = 21

b = 6 bananas

r = 2b. 2(6) = 12 oranges. I used r so as not to mix up o with 0.

6 + 12 + p = 21

p = 21 –18

p = 3 papayas

PLEASE HELP WILL GIVE BRAINLY its down below

Answers

Answer:

A.) $383 500 000/year

B.) $826 750 000/year

Step-by-step explanation:

Just add the number of sales and divide to how many year of sales it was and you will get the answer.

I need help plz and thank you

Answers

Answer:

10

30

18

Step-by-step explanation:

5 tickets is $10
15 tickets is $30
9 tickets is $18

Michael mowed lawns during the summer to earn extra money. He charged each customer $30 to cut the grass plus $9 for each hour of work. One customer paid Michael $93. How long did it take Michael to mow that customer's lawn?

Answers

Answer: 7 hours


Explanation: We can use the equation 93=9h+30 to represent the problem.

When we solve for h with (93-30)/9, we get 7 hours.

\angle a∠aangle, a and \angle b∠bangle, b are complementary angles. \angle a∠aangle, a measures 59^\circ59

59, degrees.
What is the measure of \angle b∠bangle, b?

Answers

Answer:

31°

Step-by-step explanation:

because angle a and angle b are complementary they equal 90 degrees in total

a+b=90

since angle a = 59°

59+b=90

so you use subtraction property of equality and subtract 59 from both side of the equal sign

59+b=90

-59    -59

b= 31°

What is the percentage of sugar in the syrup made of 10kg of water and 5kg of sugar? Hi and have a good day :D

Answers

Answer:

33.33%

Step-by-step explanation:

the syrup has a total of 15kg of ingredients, 5kg of it is sugar, so 15/5 which will end as 33.33%

Answer:

33.33%

Step-by-step explanation:

the syrup has a total of 15kg of ingredients, 5kg of it is sugar, so 15/5 which will end as 33.33%

6x+8> −16 please help

Answers

Answer:

 x = 4

Step-by-step explanation:

I hope this helps sorry if its wrong

Simplify the following
√2+√3/3√2-2√3​

Answers

Answer:

a

Step-by-step explanation:

Write a rule for the linear function in the table.


A.
f(x) = –x + 1


B.
f(x) = x – 1


C.
f(x) = x


D.
ƒ(x) = –x

Answers

Answer:

i keep getting different stuff

Step-by-step explanation:

4 x − 5 + y = 0

x + 6 y = 5

6 x − 3 y =12

3 x + y = 16

6 x − 3 y = 12

3 x + 4 y = − 5

y = 3x + 6
y = (x + 4)2 – 10

What’s the solution set for this

Answers

The answer is,

y = -18, x = -8

2 is what percent of 40?

Answers

2 is 5% of 40

Hope it is useful

PLZ HELP ME I NEED HELP ASAP

Answers

Answer:

75 I hope this helped and brainliest please!

Step-by-step explanation:

The equation for surface area for a square pyramid is A=a squared + 2a times the square root of (a squared over 4) + height squared. Since everything is 5 yd, the answer is 75.

plzzzzzzzzzzzzz help

Answers

Answer:

[tex]5*\frac{1}{2}[/tex]

Step-by-step explanation:

We have a picture and are being asked to identify the multiplication problem that represents it.

So we have 5 triangles, all of which are color-coded in red, but only half of them are filled. When multiplying, the number that is before the * sign is the amount there is, while the number that is after the * is the amount going to multiply the amount of items there are. So looking at the picture, we can see 5 triangles, therefore :

5 *

2 * 1/5 is scratched out as an answer. As is starts with 2.

As for the second number, we acknowledge that all triangles are half in red, therefore the number is 1/2.

5 * 1/2

Scratching all other answers.

can you please help me with this problem ​

Answers

PASS IS INTERCEPTED AT THE GOAL LINE BY MALCOLM BUTLER

Find the geometric mean of the numbers. If necessary, give the answer in simplest radical form.

25 and 29

The geometric mean is

Answers

26.93
Is the decimal form

a number h is at most 15

Answers

hope this is the inequality you’re looking for

Answer:

h inequality 15

hope it is helpful to you

Liz's math test included a survey question asking how many hours students spent studying for the test. The scatter plot below shows the relationship between how many hours students spent studying and their score on the test. A line was fit to the data to model the relationship.

Answers

Complete question :

Liz's math test included a survey question asking how many hours students spent studying for the test. The scatterplot and regression line below show the relationship between how many hours students spent studying and their score on the test.

The fitted line has a slope of 15.

What is the best interpretation of this slope?

Answer:

C.)

The model predicts that the score will increase 15 points for each additional hour of study time.

Step-by-step explanation:

The slope of a regression line represents the rate of change :

From the formula :

Rise / Run = (y2 - y1) / (x2 - x1).

The slope is a Coefficient which shows how much the dependent variable changes per unit change in the independent variable.

Hence, for a slope value of +15, which is positive, meaning an increase ; then the score obtained will increase by 15 per additional unit increase in hour of study.

Answer:

B and 96

Step-by-step explanation:

Khan academy

−4p+9=−5


Plzzzzzzz help

Answers

Answer:

p = 3.5 or p = 7/2

Step-by-step explanation:

-4p+9= -5

or, -4p = - 14

or, p = -14/-4

or, p = 7/2 = 3.5

Answer:

p = 3.5

Step-by-step explanation:

What you would do to get p is subtract 5 from both sides of the equation to leave the number and p, THEN divide both sides by the numerator of -4.

-4p + 9 = -5

      - 9     -9

__________

-4p = -14

__      __

-4         -4

Thus, p = 3.5

Please help 40 points!!!! What's a Translation of (x+15, y-20). WILL MARK BRAINLIEST FOR RIGHY ANSWER

Answers

Answer:

x= y-15

Step-by-step explanation:

hope it helps

In Exercises 13 and 14, find m_1, 22, and m23.
13.
14.
50°
3
1
3 115°
2 1
2

PLEASE HELP

Answers

Answer:

For Question 13 : 1 = 130°; 2 = 50° 3 = 130°

For Question 14 : 1 = 65°; 2 = 115° 3 = 65°

Step-by-step explanation:

Question 13:

There is multiple ways to solve those questions. However I will stick with the simple way.

1) We know that a straighteangle is = to 180°

2) Acording to the statment on step one we will say that 1 + the 50° = 180°

Resoectivelly

180° - 50° = 1

180° - 50° = 130°

1 = 130°

3) 2 + 1 = 180°

We already 1 from step 2, then

2 = 180° - 130°(1)

2 = 50°

4) 2 + 3 = 180°

3 = 180° -  50° ( 2)

3 = 130°

Question 14 1) We know that a straighteangle is = to 180°

2) Acording to the statment on step one we will say that

angle 1 + the angle  115° = 180°

Resopectivelly

180° - 115° = 1

180° - 50° = 65°

1 = 65°

3) 2 + 1 = 180°

We already 1 from step 2, then

2 = 180° - 65°(1)

2 = 115°

4) 2 + 3 = 180°

3 = 180° -  115° ( 2)

Have fun

To get from home to his friend Clayton's house, Eric would have to walk 4 miles due north. To get from home to his friend Dale's house, Eric would have to walk 3 miles due east. What is the straight-line distance between Clayton's house and Dale's house?

PLEASE ANSWER!

Answers

Answer: 5 miles

Step-by-step explanation:

It's a triangle so if you use the pythagorean theorem your equations should look like this. Sqroot of 4^2+3^2 which equals 5. Hope this helps. :)

SOMEONE ANSWER THESE ASAP

MARKING BRAINLIEST

PLEASE HELPPPPP

Answers

Sorry this took a while; calculated a lot of things.

Step-by-step explanation:

A.

Combined:

2.67 times 23.76 = 63.4392

2.67 times - 21 and 5/6 = -58.295

63.4392 - 31.85 -58.295 = -26.7058

If you mean do both separate:

63.4392 - 31.85 = 31.5892

-58.295 - 31.85 = -90.145

B.

Combined:

11 and 3/4 times 23.76 = 279.18

11 and 3/4 times 21 and 5/6 = 256.541666667

279.18 + 256.541666667 + 56 and 3/8 = 592.096666667

If you mean do both separate:

279.18 + 56 and 3/8 = 335.555

256.541666667 + 56 and 3/8 = 312.916666667

if hector completed 120 questions last week and 144 this week, how much did he increase by?

Answers

Answer:

he increased by 24

Step-by-step explanation:

144-120

Bethany uses the equation d = 4.25h to find the distance, d, she travels while walking for h number of hours. What is the constant of proportionality between d and h?

Answers

Answer:

4.25

Step-by-step explanation:

The distance Bethany travels is directly proportional to the number of hours she spends working

The formula for direct proportion is :

y = kx

Where k is a constant

in this question, the constant is given by 4.25

y= 2/3 x +7
X= -4
please help me asap!

Answers

If you’re looking for the x and y intercept them y= 13/3 and x= -4

The length of a swimming pool would be about
А
3 feet
12 inches
12 yards
D
3 miles

Answers

It would be 12 yards :)

PLEASE HELP. it is in the attachment

Answers

Answer:

<JKL=123

Step-by-step explanation:

57+57=114

360-114=246

246/2=123

<JKL=123

Answer:

angle JKL=123 degrees

Step-by-step explanation:

since sides of a rhombus are parallel, angle JKL is supplementary to angle KJM (or same side interior) so angle JKL is 180-57=123 degrees

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