The ages of the students in a statistics class are listed below. If the 18-year-old student has a birthday and turns 19, how will it affect the mean and median ages of the class?

Ages: 14, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 17, 18

A
Both the mean age and the median age will increase.

B
The mean age will increase, and the median age will remain the same.

C
The mean age will remain the same, and the median age will increase.

D
The mean age will remain the same, and the median age will decrease.

Answers

Answer 1
A is believe I’m not 100% sure
Answer 2

The mean age will increase, and the median age will remain the same.

Option B is the correct answer.

What is a mean?

It is the average value of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

We have,

Ages:

14, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 17, 18

The mean of the ages.

= (14 + 15 + 15 + 16 + 16 + 16 + 16 + 17 + 17 + 17 + 17 + 17 + 18) / 13

= 211/13

= 16.23

The median of the ages.

= 16

Now,

18 becomes 19.

14, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 17, 19.

Mean = 212/13 = 16.3

Median = 16

Thus,

The mean age is increased.

The median is the same.

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Related Questions

The cost C to produce x number of tennis rackets is C = 190 + 18. The tennis rackets are sold wholesale for $23
each, so revenue R is given by R = 23x. Find how many tennis rackets the manufacturer needs to produce and
sell to break even.
38 tennis rackets or
43 tennis rackets or
19 tennis rackets or
33 tennis rackets

Answers

Answer:

19 tennis rackets

Step-by-step explanation:

Answer plzzz!!!!!!!!!!!

Answers

Answer:

110

Step-by-step explanation:

Know the angle for BCD which is 130.

Subtract 180 from 130 and you get angle c for the triangle which is 50

Already knowing B and C, add them both which comes up to 70

All triangle angles equal 180 so subtract 70 for 180 and you get 110

PLEASE LAST FEW SETS OF QUESTIONS FOR SEMESTER PLEASE HELP 2

Answers

Problem 1

Answer:  C) 132.6

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

Explanation:

a1 = 1.7 = amount of concrete for the first step

a4 = x = amount of concrete for the fourth step

Sn = sum of the first n terms of an arithmetic sequence

Sn = (n/2)*(a1 + an)

S4 = (4/2)*(a1 + a4)

S4 = 2(1.7+x)

S4 = 2x+3.4

S4 = 17

2x+3.4 = 17

2x = 17-3.4

2x = 13.6

x = (13.6)/2

x = 6.8

We need 6.8 cubic feet of concrete for the fourth step. We'll use this value to help us find the common difference d

an = nth term of an arithmetic sequence

an = a1 + d(n-1)

a4 = a1 + d(4-1)

a4 = a1 + 3d

6.8 = 1.7 + 3d

6.8-1.7 = 3d

5.1 = 3d

(5.1)/3 = d

1.7 = d

d = 1.7

Coincidentally, the common difference is the same as the first term. This won't always happen.

Now we can compute the 12th term

an = a1 + d(n-1)

a12 = 1.7 + 1.7(12-1)

a12 = 20.4

which is then used to find the sum of the first 12 terms

Sn = (n/2)*(a1 + an)

S12 = (12/2)*(a1 + a12)

S12 = 6(1.7 + 20.4)

S12 = 132.6

=============================================================

Problem 2

Answer: C) [tex]x^2 + (y-10)^2 = 225\\\\[/tex]

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

Explanation:

The center is (h,k) = (0,10) which is where the nozzle is located.

The distance from (0,10) to (0,25) is 15 units, so r = 15.

Also, the distance from (0,10) to (0,-5) is also 15 units.

Plug those values into the equation below.

[tex](x-h)^2 + (y-k)^2 = r^2\\\\(x-0)^2 + (y-10)^2 = 15^2\\\\x^2 + (y-10)^2 = 225\\\\[/tex]

That equation represents the boundary of the circle, which is where the water can reach.

=============================================================

Problem 3

Answer:  B) 2.336 ft

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

Explanation:

a1 = height 1st bounce = 6.7 fta2 = height 2nd bounce = 81% of a1 = 81% of 6.7 = 0.81*6.7 = 5.427a3 = height 3rd bounce = 81% of a2 = 81% of 5.427 = 0.81*5.427 = 4.39587

Or note that,

a3 = 0.81*(a2) = 0.81*(0.81a1) = a1*(0.81)^2 = 6.7*(0.81)^2 =  4.39587

which must mean,

a4 = a1*(0.81)^3a5 = a1*(0.81)^4a6 = a1*(0.81)^5

This is based off the idea that [tex]a_n = a(r)^{n-1}[/tex]

So,

a6 = a1*(0.81)^5

a6 = 6.7*(0.81)^5

a6 = 2.33614554867

a6 = 2.336

The sum of three consecutive even numbers is 36. What is the smallest numbers ?

Answers

Answer:

The numbers are 11,12,13

The smallest number is 11

Step-by-step explanation:

Let the first number be x

The next number is x+1

The third number is x+2

x+x+1+x+2 = 36

Combine like terms

3x+3 = 36

Subtract 3 from each side

3x+3-3 = 36-3

3x=33

Divide each side by 3

3x/3 = 33/3

x=11

The numbers are 11,12,13

The smallest number is 11

I’ll give brainliest!
Add 3/4 + (2^1/2) using the number line
Select the location on the number line to plot the sum

Answers

Answer: -1 3/4

Step-by-step explanation

just add the fractions together :)

(between the -2 and -1 1/2)

I need help asap!! pls pls PLS help

Answers

Answer:

Step-by-step explanation:

It's the third choice. Since the triangles are given as similar and they are right triangles, points A, B, and D are all on the hypotenuses of those 2 triangles and are co-linear. The slope between all points on a single line is constant.

3 to the power of -2 as a fraction

Answers

0.03 is your answer yes

From the power rules, the power [tex]3^{-2}[/tex] is equal to the fraction [tex](\frac{1}{3})^{-2}[/tex].

Power Rules

There are different power rules one of them is the negative exponent. For this rule when you have a negative exponent, you need to invert the number, i.e, the power base is converted to the denominator. After that, you should solve the power with a positive exponent.  See the  examples:

[tex]5^{-3}=(\frac{1}{5})^3=\frac{1}{125} \\ \\ \\ {\frac{4}{6} }^{-2}={\frac{6}{4} }^2=\frac{36}{16}[/tex]

Then, the question gives:

[tex]3^{-2}=({\frac{1}{3}})^2[/tex]

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Given: (DE) is a midsegment of ∆ABC. Show all work.
Find the value of x and y.
What is the length of (AC)?

Answers

Answer:

Step-by-step explanation:

As they are similar triangles

24/AB = 24/2AD = 12/AD = (x + 2)/AD

12 = x + 2

x = 10

(y + 6) + (x - 3) / 24 = (y + 6)/(x + 2)

(y + 6) + (10 - 3) / 24 = (y + 6)/(10 + 2)

             (y + 13) / 24 = (y + 6)/12

                 12(y + 13) = 24(y + 6)

                12y + 156 = 24y + 144

                          12y = 12

                             y = 1

AC = (y + 6) + (x - 3)

AC = (1 + 6) + (10 - 3)

AC = 14

Tara wants to put a white fence aroung the yard including the garden. Write an
expression for the perimeter of her yard (including the garden).
Then simply the expression.

Answers

The perimeter of a rectangle is 2L + 2W, where L and W are the length and width, respectively. The dimensions of the garden are given, 6 x 12 ft.

 

The amount of fencing needed is 2(6) + 2(12) = 12 + 24 = 36 ft of fencing

6(31)+6(4)-6(15) mental math form

Answers

186+6 multiple 4-6 multiple 15
186+24-90
120 answer

[tex]6(31)+6(4)-6(15)=6(31+4-15)=6(20)=120[/tex]

ok done. Thank to me :>

PLEASE HELP ME WITH THIS QUESTION

Answers

Answer:It’s money so use the $ symbol. You got this

Step-by-step explanation:

At​ noon, a tank contained 8 in. of water. After several​ hours, it contained 6 in. of water. What is the percent decrease of water in the​ tank?

Answers

Answer:

25%

Step-by-step explanation:

8-6=2

2/8=0.25

0.25×100=25%

a family buys 6 airline tickets online. the family buys travel insurance that costs 18 per ticket. the total cost is 1,044

Answers

Answer:

936

Step-by-step explanation:

Therefore you multiply 6 by 18 = 6×18= 108

1,044 - 108 = 936

So therefore the total is 936

1. Which of the following is the remainder when the polynomial x^2-5x+3 is divided by (x -8)?
(1) 107
(3) 3
(2) 27
(4) 9

Answers

Answer:

27

Step-by-step explanation:

Use synthetic division:

8 | 1 -5 3

   __8_24

    1  3 | 27

Therefore, (x²-5x+3)/(x-8) = x+3 R27

please help!! 100 points

Answers

Answer: -6

Explanation:
Plug in 4 for x
H(4)=1/5(4^2-6)-8
After solving you should get -6

[tex]\\ \tt\bull\rightarrowtail h(x)=1/5(x^2-6)-8[/tex]

[tex]\\ \tt\bull\rightarrowtail h(4)[/tex]

[tex]\\ \tt\bull\rightarrowtail 1/5(4^2-6)-8[/tex]

[tex]\\ \tt\bull\rightarrowtail 1/5(16-6)-8[/tex]

[tex]\\ \tt\bull\rightarrowtail 10/5-8[/tex]

[tex]\\ \tt\bull\rightarrowtail 2-8[/tex]

[tex]\\ \tt\bull\rightarrowtail -6[/tex]

2/3 divided by 10

PLEASE answer

Answers

Answer:

1/15

Step-by-step explanation:

2/3 x 1/10 = 2/30 or 1/15

Answer:

1/15

Step-by-step explanation:

Find the measure of the angle marked and indicated in bold

Answers

Each angle that is opposite is the same measurement and if a circle has 360 then you just have to subtract

Pls help I’ll brainlest

Complete the activities below

Answers

Answer:

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

rate of change or slope m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] = [tex]\frac{rise}{run}[/tex]

y = mx + b

"b" is y-intercept

~~~~~~~~~~~~~~~~~~~

I need the answer for this ASAP

Answers

Answer:

Y is cookies x is cupcakes

for the first birthday party: 20x + 40y = 61

For the second party 30x + 30y = 64.50

There aren't any other constraints

20x + 40y = 61

30x + 30y = 64.50

Step-by-step explanation:

What is the equation of the line that passes through
(-5, 0) and (4, 3)?

Answers

Answer:

[tex]y=\frac{1}{3}x+\frac{5}{3}[/tex]

Step-by-step explanation:

The point-slope form of an equation for a line is  y = mx + b  (m is the slope; b is the y-intercept).

First, find the slope using the two given points.

[tex]m=\frac{y_2 - y_1}{x_2-x_1}=\frac{3-0}{4-(-5)}=\frac{3}{9}=\frac{1}{3}[/tex]

At this stage, you know the slope and need to find the y-intercept.  Plug in one of the points (either one) into the equation.  Let's use (-5, 0).

[tex]y=\frac{1}{3}x+b\\0=\frac{1}{3}(-5)+b\\0=-\frac{5}{3}+b\\\frac{5}{3}=b[/tex]

The equation for the line is [tex]y=\frac{1}{3}x+\frac{5}{3}[/tex].

You can check for errors by putting in the point you didn't use...

Check to make sure the point (4, 3) satisfies the equation.

[tex]3=\frac{1}{3}(4)+\frac{5}{3}\\3=\frac{4}{3}+\frac{5}{3}\\3=\frac{9}{3}[/tex]   True!

Hue is arranging chairs. She can form 2 rows of a given length with 6 chairs left over, or 8 rows of that same length if she gets 12 more chairs. Complete the equation and solve it to find how many chairs are in that row length. In your equation, use the variable x to represent the number of chairs in each row.

Answers

Answer:

I am stuck on the same question please comment if someone answers

Answer:

3

Step-by-step explanation:

Okay so 18 chairs were used more for 6 more rows so each row has 3 length.

x = 3

Now this makes no sense, because I don't know why you would leave 6 chairs if you only have 3 chairs for each row but....(Hue is weird so let's not question him)

Anyways mathematically

first arrangement = 2x + 6

second arrangement = 8x - 12

2x + 6 = 8x - 12

6x = 18

x = 3

how to solve 1/2(x-6) = 1/2

Answers

Answer:

x=7

Step-by-step explanation:

1/2(x-6)=1/2

(1/2)(x)+(1/2)(−6)=1/2

1/2x+−3=1/2

1/2x−3=1/2

1/2x−3+3=1/2+3

1/2x=7/2

2*(1/2x)=2*(7/2)

x=7

tada!

True or false is 6x10^5 is 20 times as much as 3x10^4

Answers

answer

TRUE

HOPE IT WILL HELP YOU

Mrs. Nisbet had 97 books in her classroom library. She received a grant to expand her classroom library. After spending the money, she had 213 books. What is the percent increase? *

Answers

Answer: 219

Step-by-step explanation:

04.03 HC)
Given the function f(x) = 2(3)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.

Part A: Find the average rate of change of each section. (4 points)
Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other. (6 points)

(10 points)

Answers

Part A:

To find the average rate of change, let us first write out the equation to find it.

Δy/Δx = average rate of change.  

Finding average rate of change for Section A

Δy = f(1) - f(0) = 2(3)^1 - 2(3)^0 = 6 - 1 = 5

Δx = 1- 0 = 1

Plug the numbers in: Δy/Δx = 5/1 = 5

Therefore, the average rate of change for Section A is 5.  

Finding average rate of change for Section B

Δy = f(3) - f(2) = 2(3)^3 - 2(3)^2 = 2(27) - 2(9) = 54 - 18 = 36

Δx = 3 - 2 = 1

Plug the numbers in: Δy/Δx = 36/1 = 36

Therefore, the average rate of change for Section B is 36.  

Part B:

(a) How many times greater is the average rate of change of Section B than Section A?

If Section B is on the interval [2,3] and Section A is on the interval [0,1].  

For the function f(x) = 2(3)^x, the average rate of change of Section B is 7.2 times greater than the average rate of change of Section A.  

(b) Explain why one rate of change is greater than the other.  

Since f(x) = 2(3)^x is an exponential function the y values do not increase linearly, instead increase exponentially. In an interval with smaller x values the rate of change is lower than an interval with larger x values.

Complete the point-slope equation of the line through -8,1 and -6,5

Answers

Answer:

y+1=3(x+8)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(5-(-1))/(-6-(-8))

m=(5+1)/(-6+8)

m=6/2

m=3

y-y1=m(x-x1)

y-(-1)=3(x-(-8))

y+1=3(x+8)

Launch Problem

Melanie was training for a race. The line plot below shows the number of miles Melanie ran last week.


5. How many miles did Melanie run altogether last week?

Answers

Answer:

5 miles

Step-by-step explanation:

add the points together.

it seems like each point is how many miles they ran each day.

1/4 + 2(1/2) + 3/4 + 3(1) = 5


[tex] \frac{1.3}{7.8} \: \frac{3}{18} [/tex]
Is this equivalent? ​

Answers

Answer:

Yes

Explanation:

1.3/7.8 = 0.167

3/18 = 0.167

An equivalent fraction is a fraction that is the same as another fraction with a different denominator.

I hope it helps.

HELP ME FAST PLZZ
Wendy has 5 1/3 of ribbon.


Part A: How many 2/3 -foot pieces can Wendy cut from the 5 1/3 feet of ribbon? Show your work. (5 points)


Part B: Using the information in Part A, interpret the meaning of the quotient in terms of the two fractions given. (5 points)

Answers

Answer:

Part A: 8 ribbons

Part B: see below

Step-by-step explanation:

first 5 1/3 = 16/3

[tex] \frac{16}{3} \div \frac{2}{3} \\ = \frac{16}{3} \times \frac{3}{2} \\ = \frac{48}{6} = 8[/tex]

the answer is 8 dude!

7 grade math hellp me

Answers

Answer:

32

Step-by-step explanation:

180 - 148 = 32

I hope this helps!

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