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Travka [436]
2 years ago
5

Find the mean, median, and mode of the data with and without the outlier. 101, 110, 99, 100, 64, 112, 110, 111, 102

Mathematics
1 answer:
svetoff [14.1K]2 years ago
6 0

Answer:

Step-by-step explanation:

First step

Put the numbers in numerical order.

64 99 100 102 110 110 111 112  

Median

Median is the middle number. If the number of numbers is even then you take the middle 2 and average them.

This has 8 entries so you take the middle 2 and average them.

102 and 110 are the middle 2. They can be averaged.

(102 + 110)/2 = 212/2

212 / 2 = 106

The median is 106.

Mode

The mode is the entry with the most number that are the same.

110 is given twice. Nothing else is. So the mode is 110

Mean

The mean is the average. You add the eight numbers and divide by 8.

Sum = 64 + 99 +  100 +  102 +  110 +  110 +  111 +  112  

Sum = 808

Now divide by 8

Mean = 808/8

Mean = 101

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Which of the following is the graph of f(x) = -0.5|x+3| -2?
Tcecarenko [31]

Answer:

The last graph

Step-by-step explanation:

We transform functions in the following ways:

  • multiplying the function by a number to stretch or shrink it
  • multiplying by a negative to flip the orientation of the function
  • adding/subtracting a value to the input x to shift it horizontally
  • adding/subtracting a value to the output (or outside the function operation) to shift it vertically or horizontally.

Looking at the equation we can see f(x)=-0.5\left|x+3\right|-2

  • Vertically shrunk by 0.5
  • Negative leading coefficient to flip the graph's orientation
  • Horizontal shift of the vertex of 3 units to the left from (0,-2) to (-3,-2)
  • Vertical shift of the vertex of 2 units downward (-3,0) to (-3,-2)

The last graph has vertex (-3,-2) and satisfies the the equation.

7 0
3 years ago
Read 2 more answers
Darren is on a super efficient diet. He started with 210 pounds 2 months ago and he now weighs 150 pounds . Find his percent of
ikadub [295]

Answer:

29%

Step-by-step explanation:

210-150/210 = 60/210 or 6/21

Now we have to find the percent out of 100 so we have to find out 100/21 to see what we have to multiply by to get to 100 so we can do the same with the 2 (numerator) so 1000/21= 4 16/21

then we have to multiply the 6 by 4 16/21 which is about 29%

8 0
3 years ago
Factor the quadratic equation <br> 3x^2+3x-6=0
Salsk061 [2.6K]
The answer would be...

6 0
3 years ago
SKIP # 14 SHOW ALL WORK PLEASE AND I WILL GIVE BRAINLY AND 77 points for it
babunello [35]

Answers:

11. 48%

12. 25%

13. 36%

15. 93%

16. 99%

17. 0.16%

18. 160%

19. 85%

Work for 19:

The chart is incorrect because it calculates 40% of 34 instead of 40 percent of x (we got 85% for our answer but I'm using x as the unknown number) results in the number of 34.

Percentage of 40% of what number = 34?

40% of what number = 34 is equivalent to: 40% × ? = 34

--------------------------

40% × ? = 34

? =

34 ÷ 40% =

34 ÷ (40 ÷ 100) =

(100 × 34) ÷ 40 =

3,400 ÷ 40 =

85

Proof:

If 40% × 85 = 34 =>

Divide 34 by 85...

... And see if we get as a result: 40%

----------------------------------------------------------

20. 21 students

Step-by-step explanation:

I hope I helped, and I always appreciate brainliest!!! ;)

6 0
2 years ago
What is the problem 6y+2(3y-5)= -34
lidiya [134]

Answer:

y=−2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6y+2(3y−5)=−34

6y+(2)(3y)+(2)(−5)=−34(Distribute)

6y+6y+−10=−34

(6y+6y)+(−10)=−34(Combine Like Terms)

12y+−10=−34

12y−10=−34

Step 2: Add 10 to both sides.

12y−10+10=−34+10

12y=−24

Step 3: Divide both sides by 12.

\frac{12y}{12} = \frac{-24}{12}

y=−2

8 0
3 years ago
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