The ages of the racers in a bicycle motocross race are 14, 22, 20, 25, 26, 17, 21, 30, 27, 25, 14, and 29. The 30-year-old drops out of the race and is replaced with a 15-year-old. How are the mean, median, and mode of the ages affected?

Answers

Answer 1

Answer:

The mean is decreased by 1.25.

The mode  remains the same.

The median is decreased by 2 .

Step-by-step explanation:

Re arranging the data 14, 22, 20, 25, 26, 17, 21, 30, 27, 25, 14, and 29.

Gives

14, 14,17,20,  21, 22, 25,25, 26,  27, 29,30,  

Now the mean = 14, +14,+17, +20, +21,+ 22, +25,+25,+ 26, +  27, +29,+30/12

Mean= 270/12=22.5

The Mode ( the repeated value) = 14,25

Median ( the average of middle value) =  22+25/2= 23.5

When 30 is replaced is by 15

Now the mean = 14, +14, +15,+17, +20, +21,+ 22, +25,+25,+ 26, +  27, +29/12

The  Mean becomes = 255/12=21.25

The Mode ( the repeated value) = 14,25

Median ( the average of the middle value) =  21+22/2= 21.5

The difference between the 2 means  is = 22.5- 21.25= 1.25

The mode  remains the same.

The median is decreased by 2 .

The mean is decreased by 1.25 which is more than 50 % of the value obtained between the ratio of the omitted and added value (30/15=) i.e. 2


Related Questions

What type of angles are 2 and 7?

A. Supplementary angles
B. Alternate exterior angles
C. Alternate interior angles
D. Vertical angles

Answers

Answer:

B: Alternate Exterior Angles

Enter the resulting inequality.
13>-3; Subtract 13 from both sides.
The resulting inequality is

Answers

Answer:

10>-6

Step-by-step explanation:

Subtract 3 from both sides, 13-3=10, -3-3=6

The original inequality is true

Answer:

The answer is 0>-16

Step-by-step explanation:

[tex]13 > - 3 \\ 13 - 13 > - 3 -1 3 \\ 0 > - 16[/tex]

4/6-3/8 zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

The answer is 7/24 ~hope this helps~

btw, sick pic  B-)

Step-by-step explanation:

A regular nonagon has an area of 102.4 and one side length measures 7 units long. Find the apothem. Round to the nearest tenth, if necessary.

Answers

Answer:

Apothem = 3.3 units

Step-by-step explanation:

A regular nonagon has an area of 102.4 and one side length measures 7 units long. Find the apothem. Round to the nearest tenth, if necessary.

The formula to find the area of a polygon when given Apothem and Side length =

A = 1/2 × a × p

Where p = no of sides of polygon × side length

In the above question,

We are given a polygon = nonagon = 9 sides

Side length = 7 units

p = 9 × 7 = 63 units

Area = 102.4 square units

Apothem = a = ?

We substitute into the formula

102.4 = 1/2 × a × 63

102.4 = 63a/2

Cross Multiply

102.4 × 2 = 63a

Divide both sides by 63

a = 102.4 × 2/63

a = 3.2507936508 units

Approximately to the nearest tenth = 3.3 units

The sum of two numbers is 52 and the difference is 12. What are the numbers?

Answers

Answer:

32 and 20

Step-by-step explanation:

x + y = 52

x - y = 12

2y = 40

y = 20

x = 32

Write the equation of the line in fully simplified slope-intercept form

Answers

y=3/5x+5

hope this helps!!

Lisa purchased almonds for $3.00 per pound and she spent $24.90. How many pounds of almonds did she purchase? The price went up to $3.50 a pound and lisa only had 25.00 how many pounds of almonds can she buy and whats her chance?

Answers

Answer:

1. Lisa purchased almonds for $3.00 and spent $24.90.

The quantity of almonds bought is therefore:

= Total amount spent / Cost per pound

= 24.90 / 3

= 8.3 pounds

2. If the price goes up to $3.50 per pound and the maximum Lisa can spend is $25, the number of pounds she can get is:

= Maximum amount for almonds / Price per almonds

= 25 / 3.5

= 7.14 pounds

If 6 pounds of grapes costs $1.89, how much would 15 pounds of grapes cost?

Answers

So divide 1.89 by 6 to see how much would one pound of grape be
1.89/6=0.315
Then multiply 0.315 (price for one pound of grape ) by 15
0.315*15 =4.725 $for 15 pounds of grape

Find the value of x! First person to correctly respond gets brainliest!!

Answers

Answer:

180-33 = 147

Step-by-step explanation:

Find the area of the figure and choose the appropriate result.
1 m
3.5 m
8 m

Answers

Answer:

Area if figure = 22 m²

Step-by-step explanation:

Given:

Length of rectangle = 8 m

Width of rectangle = 1 m

Base of triangle = 8 m

Height of triangle = 3.5 m

Find:

Area if figure

Computation:

Area if figure = Area of rectangle + Area of triangle

Area if figure = [l x b] + [(1/2)(b)(h)]

Area if figure = [8 x 1] + [(1/2)(8)(3.5)]

Area if figure = 8 + 14

Area if figure = 22 m²

Drake produced 52 songs last year. If each new album has 15 songs on it, how many of his songs were not released on an album?

Answers

Answer:

7

Step-by-step explanation:

If each album has 15 songs, 15 * 3 = 45 so 52 - 45 = 7. Therefore, Drake produced 7 songs not in an album.

i missed a day of school and we started a new unit lol

Answers

180-90-45 = 45 so 45

Gail ran 6/10miles on Saturday and 6 8/10 miles on Sunday. How many miles did Gail run over the weekend?

Answers

Answer:

7 2/5 miles

Step-by-step explanation:

6/10 + 6 8/10 = 6 14/10 = 7 4/10 = 7 2/5 miles


Find the area of the shaded region in terms of x.

Answers

Answer:

35x^2 - 71x + 15

Step-by-step explanation:

look at the photo

please i need a answer and u will get good deeds

Answers

Answer:

she uses 43 kilograms of clay in all

Step-by-step explanation:

What is 1,198,145 rounded to the nearest ten thousand?

Answers

Answer: 1,200,000

Explanation:

please help me with this

Answers

Answer:

808+808=1616 340+340=680  then 1616-680=976

Step-by-step explanation:

you need to add 808 plus 808 which is 1616 then add 340 plus 340 which is 680, then subtract 1616-680 which is 976.

Logan bought two pounds of strawberries for $11.20. What is the price, in dollars per ounce of strawberries?

Answers

Answer:

You will have to divide $11.20 by 32 ounces to find how much it is per ounce:

Each ounce of strawberries costs $0.35

Step-by-step explanation:

Answer:

Each ounce of strawberries will cost $0.35

Step-by-step explanation:

11.20/32 = 0.35

Martina will make flower arrangements with 3 roses in each arrangement. She will use the equation y = 3x to find the total number of roses she needs. What does x represent in the equation

Answers

X represents each rose and y represents each arrangement

X represents the number of arrangements.

Please help with this question... Which expression is equivalent to x^3/2?​

Answers

Answer: D

Step-by-step explanation:

Answer:

Solve (x+2/x-3);(x-2/x-3) Equating the equation to zero and taking out (x-3) as common denominator (x+2)(x-2)/ (x-3)2 Solving using the identities we get => (x2– 4)/(x2 -6x + 9)= 0 => (x2– 4)=(x2-6x + 9) => -4= -6x +9 => -4 -9= -6x => -13= -6x => 13=6x => x= 13/ 6

The surface of a rectangular table has a perimeter 20 feet. Its area is 21 square feet. What are the dimensions of the table?​

Answers

Answer:

7 and 3

Step-by-step explanation:

We know that all 4 sides have to add up to 20 and that 2 of the sides are the same because it's a rectangle. To find the area, we have to do length times width. Two different sides have to equal 21 when multiplied. The factors of 21 are 1, 3, 7, and 21. Let's try 1 and 21. We need an area of 21. 1 x 21 = 21 so it satisfies that. Now let's find the perimeter.21 + 21 + 1 + 1 = 44, but we need an perimeter of 20. Now, let's try 7 and 3. 7 x 3 = 21, so it satisfies the area. 7 + 3 + 7 + 3 = 20, so it also satisfies the perimeter. Therefore, 7 and 3 are the dimensions of the table.  

Hope this helps! If it did, please give brainliest! It would help a lot! Thanks! :D

HELP FOUR MORE MINUTES LEFT ON MY TEST!

Answers

The angle MFE= 28 degrees

This is the homework problems!

Answers

That is the angle for C not A

Help 40 points!!! Brainlist!!!

Answers

Answer:

V=one third (3)(3)(5)

Step-by-step explanation:

B(10,15) B´(4,6) Which type of transformation is that?​

Answers

I believe this a reduction

15 if a die is rolled, what is the probability of getting an even number? P(even) number​

Answers

The probability of getting an even number is 3/6 or 1/2.

1 1/2 - 2/5 ÷ 4 2/5 × 3/4​

Answers

Answer:

1 19/44 (1.4318182)

Answer:

1 19/44

Step-by-step explanation:


A rectangular photograph is 8 cm wide and 12 cm long. The photograph is enlarged by increasing the length and width byan equal amount in order to double its area. What are the dimensions of the new photograph?
a. 12 cm by 16 cm
b. 16 cm by 24 cm
C. 20 cm by 30 cm
d. 48 cm by 72 cm

Answers

Answer:

16 cm by 24 cm

Step-by-step explanation:

Well if you want an equal amount you will have to multiply both numbers by the same thing. I used 2 and 16 cm by 24 cm would be your answer.

The dimensions of the new photograph is b. 16 cm by 24 cm.

What is the area of the rectangle?

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

A rectangular photograph is 8 cm wide and 12 cm long.

The original area is

8 x 12 = 96

The photograph is enlarged by increasing the length and width by an equal amount in order to double its area.

The new area is 96 x 2 = 192

So the dimensions are b. 16 cm by 24 cm.

Learn more about the area;

https://brainly.com/question/1658516

#SPJ2

Makenzie got a $30 gift certificate to the local theater for her birthday. Adult tickets (x) cost $8.00 and tickets for children (y) cost $4.50. Which inequality represents the number of adults and children who can go to a show using the $30 gift certificate?

Answers

8+4.50= 12.5
12.5 times 3= 37.5 which is higher than 30 therefor it has to be 2 because 12.5 times 2= 25

Answer= 2

The inequality that represents the number of adults and children who can go to a show using the $30 gift certificate is:

x < 4 and y < 7.

Where x is the number of children and y is the number of adults.

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

Makenzie got a $30 gift certificate to the local theater for her birthday. Adult tickets (x) cost = $8.00

Children's tickets (y) cost =  $4.50

Now,

The number of children who can go to the theater.

4.50y = 30

y = 30/4.50

y = 6.67

This means,

y < 7 _____(1)

Now,

The number of adults who can go to the theater.

8x = 30

x = 30/8

x = 3,75

x < 4 ______(2)

Thus,

From (1) and (2).

The inequality represents the number of adults and children

x < 4 and y < 7.

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ2

b= (x+7) a= (x=1)=180 solve for angle a and b

Answers

b=(x+7)a=(x=1)=180 then 37

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