The leaders of two youth sports teams randomly select five members of each team and record their ages, as shown.

• Team A 16, 13, 12, 16, 13

• Team B: 10, 13, 16, 16, 10

Which statement appropriately compares the ages of the team members?

Members of Team A and members of Team B are likely the same average (mean) age.

Members of Team A are likely younger, and they have less variability in their ages.

Members of Team A are likely older, and they have more variability in their ages.

D Members of Team A are likely older, and they have less variability in their ages.

Answers

Answer 1

Answer:

Members of Team A are likely older, and they have less variability in their ages.

Step-by-step explanation:

To solve this question, we need to find the mean and the standard deviation for each team.

Team A 16, 13, 12, 16, 13

The mean is:

[tex]M = \frac{16 + 13 + 12 + 16 + 13}{5} = 14[/tex]

The standard deviation is:

[tex]S = \sqrt{\frac{(16-14)^2 + (13-14)^2 + (12-14)^2 + (16-14)^2 + (13-14)^2}{5}} = 1.67[/tex]

Team B: 10, 13, 16, 16, 10

The mean is:

[tex]M = \frac{10 + 13 + 16 + 16 + 10}{5} = 13[/tex]

The standard deviation is:

[tex]S = \sqrt{\frac{(10-13)^2 + (13-13)^2 + (16-13)^2 + (16-13)^2 + (10-13)^2}{5} = 13} = 2.68[/tex]

Which statement appropriately compares the ages of the team members?

Sample of team A has higher mean age, which means that they are likely older. They also have a smaller standard deviation, so they likely have less variability in their ages.


Related Questions

f (x) = (3x^4 + 1)^2 ?

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Answer:

72x^7+24x^3  (finding the derivative using the chain and power rules)

Step-by-step explanation:

Answer:

the answer is 8

Step-by-step explanation:

I need to add words but plz help me im stuck​

Answers

Answer:

A

Step-by-step explanation:

I think it is A because that measures the height of the triangle

Answer:

Option A shows the height of the triangle

Hope this helps!

(4x + 1)°
43°
PLEASE SOMEONE ONE HELPPPP!!

Answers

The straight line equals 180 degrees.
-180 minus given value (43)
180-43= 137
(4x+1)= 137
- get x by itself
4x+1=137
4x=137-1
4x= 136
x= 136/4
ANSWER: x=34

Answer:

x= 34

Step-by-step explanation:

(4x + 1 )° + 43° = 180° (due to linear pair)

4x+1+43 = 180

4x + 44 = 180

4x = 180 - 44

4x = 136

x = 136 ÷ 4

therefore, x = 34

HELP ME PLEASEEEEEEEEEE

Answers

Answer:

The area is 35

The perimeter is 24

Step-by-step explanation:

You can count the individual units of the length and the width of the rectangle.

The width is 5, the length is 7

The area is 5*7=35

The perimeter is 5+5+7+7=24

Evaluate 4 ÷ 3/5 Give your answer as a mixed number in its simplest form.​

Answers

9514 1404 393

Answer:

  6 2/3

Step-by-step explanation:

  4/(3/5) = (4/1)×(5/3) = 20/3 = 6 2/3

What answer do you get when you solve 0.4(2a-0.3b)

Answers

Answer:

0.8a-0.12b

Step-by-step explanation:

Use the distributive property:

0.8a-0.12b

Find the slope and the y- intercept of the line y=6x-3

Answers

Answer:

Slope: 6

Y-intercept: -3

Step-by-step explanation:

The value of x is the slope, the value of the y-intercept is the number with no variable. Therefore, the slope is 6 and the y-intercept is -3.

If this has helped please mark as brainliest

Answer:

m=6

Step-by-step explanation:

Which angle measure is greater?

Answers

Answer: B

Step-by-step explanation:

I think it is b not sure

translate twice x is at most -29 into an inequality

Answers

twice x as in x to the second power?
if it is x to the second power your answer would be
x^2 ≤ -29

The answer is 2x ≤ - 29

Step-by-step-explain

Twice x is at most -29 into an inequality

2x ≤ - 29

Thus, The answer is 2x ≤ - 29

-TheUnknownScientist


HELP ME ‼️

$298, $ 196, $248) $379, $319,$276, $198,
$349
. What is the median of the first half of the
data? (Third quartile)

Answers

Answer:

median of (298, 196, 248) - 196

median of (379, 319) - 349

median of (276,198, 349) - 198

Step-by-step explanation:

we believe that 42% of freshmen do not visit their counselors regularly. For this year, you would like to obtain a new sample to estimate the proportiton of freshmen who do not visit their counselors regularly. You would like to be 98% confident that your estimate is within 3.5% of the true population proportion. How large of a sample size is required

Answers

Answer:

A sample of 1077 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

42% of freshmen do not visit their counselors regularly.

This means that [tex]\pi = 0.42[/tex]

98% confidence level

So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].

How large of a sample size is required?

A sample size of n is required, and n is found when M = 0.035. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.035 = 2.327\sqrt{\frac{0.42*0.58}{n}}[/tex]

[tex]0.035\sqrt{n} = 2.327\sqrt{0.42*0.58}[/tex]

[tex]\sqrt{n} = \frac{2.327\sqrt{0.42*0.58}}{0.035}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.327\sqrt{0.42*0.58}}{0.035})^2[/tex]

[tex]n = 1076.8[/tex]

Rounding up:

A sample of 1077 is required.

look at pic will mark brainilest

Answers

Answer:The first one 18in.2

Step-by-step explanation:

The answer is the second one 40inches

The table shows a cricket clubs income in 2016 from a fete , a quiz and membership fees

Express as a ratio the income from the fete to the income from the quiz to the income from membership fees .
Give your ratio in it’s simplest form

Answers

Answer: 5:2:10

Income from fete = £250

13 x 5 + 35 = 100

25 x 20 = 500

250:100:500

Then simplify ratio -

25:10:50

5:2:10

13. Simplify the following: ​

Answers

Answer:

x^8

Step-by-step explanation:

x^3 x x^5

=x3*x5

=(x*x*x) * (x*x*x*x*x)

=x*x*x*x*x*x*x*x

=x8

Can anyone answer this

Answers

Answer:

700

Step-by-step explanation:

guess be like

When money is spent on goods and services, those who receive the money also spend some of it. The people receiving some of the twice-spent money will spend some of that, and so on. Economists call this chain reaction the multiplier effect. In a hypothetical isolated community, the local government begins the process by spending D dollars. Suppose that each recipient of spent money spends 100c% and saves 100s% of the money that he or she receives. The values c and s are called the marginal propensity to consume and the marginal propensity to save and, of course, course, c + s = 1. Let Sn be the total spending that has been generated after n transactions.

Required:
Find an equation for Sn.

Answers

Solution :

If [tex]S_n[/tex] is the total spending generated after n transactions, then [tex]a_n[/tex] is the spending generated during the n-th transaction. Since the government spends D dollars, then [tex]a_1[/tex] = D.

Then the second person will receive D dollars and spend [tex]D_c[/tex] dollars. Therefore, [tex]a_2=D_c[/tex]. The next person will receive [tex]D_c[/tex] dollars, which means they are spending [tex]a_3 = (D_c)c = Dc^2[/tex] dollars. Therefore,

[tex]a_1 = D[/tex]

[tex]a_2=D_c[/tex]

[tex]a_3 = Dc^2[/tex]

[tex]a_4 = (Dc^2)c= Dc^3[/tex]

....

[tex]a_n=Dc^{n-1}[/tex]

∴ [tex]S_n=a_1+a_2+a_3+....+a_n[/tex]

  [tex]S_n = D+Dc+Dc^2+Dc^3+...+Dc^{n-1}[/tex]

  [tex]S_n= D(1+c+c^2+...+c^{n-1})[/tex]

  [tex]S-n=D . \frac{1-c^n}{1-c}[/tex]


A turtle can walk 2/24 of a kilometer in an hour. The turtie is 2/10 of a kilometer away
from a pond. At this speed, how long will it take the turtle to reach the pond?
2 2/5hours
1 3/5hours
2 hours
3 1/5hours

Answers

should be A. 2 2/5 hours

Let x be the number of points that can be scored on 1 question of a statistics exam. Below is the probability distribution of how students did. x 0 1 2 3 P(x ) 0.13 0.21 0.55 0.11 Find the probability that x is at most 2.

Answers

Answer: The probability that x is at most 2 = 0.89

Step-by-step explanation:

Let x be the number of points that can be scored on 1 question of a statistics exam.

Given table: x       0          1           2           3

                P(x) 0.13   0.21     0.55         0.11

[tex]P(X\leq2)=P(X=0)+P(X=1)+P(X=2)\\\\P(X\leq2)= 0.13+0.21+0.55\\\\P(X\leq2)= 0.89\\\\[/tex]

Hence, the probability that x is at most 2 = 0.89

A motor cycle purchased for $9,000 today will be worth 6% less each year. For what can you expect to sell the motorcycle at the end of 5years

Answers

Answer:

$5,956.2

Step-by-step explanation:

First we need to find the amount after 5years using the formula

A =P(1+r)^n

A = 9000(1+0.06)^5

A = 9000(1.06)^5

A = 9000(1.3382)

A = 12,043.8

Interest after 5 years = 12,043.8 - 9000

Interest after 5 years = 3,043.8

Since it will be worth 6% less each year, the amount after 5years will be 9000 - 3,043.8 = $5,956.2

SENORMATHWIZ AM I CORRECT HURRY I HAVE 5 MIN!!!!

Answers

Answer:

its actually c

Step-by-step explanation:

6*10=60+40=100

100[tex]\geq[/tex]100

Answer:

C

Step-by-step explanation:

In order to graph we must first simplify the inequality

40 + 10x ≥ 100

step 1 subtract 40 from each side

40 - 40 cancels out

100 - 40 = 60

we now have 10x ≥ 60

step 2 divide each side by 10

10x/10 = x

60 / 10  = 6

we're left with x ≥ 6

Now to graph

We will start with a closed circled on 6 and because the inequality sign is facing the varibale (x) the line will go in the direction of the right

Thus, the answer is C

The graph shows the function f(x).
Which equation represents f(x)?
C D
O f(x) = -3/7
5
4
Of(x) = -3/X-1
3
2
f(x)
Of(x) = 3/-8-1
1
Of(x) = 3-Y
-10-8-6-4
-2.
2
4
B
8 10
w
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

mathmiticians: impossible

Step-by-step explanation:

some random kid: the answer is approxamatly 47.7

The equation of f(x) is f(x)= −43​x−3, the correct option is C.

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

Linear function is a function whose graph is a straight line

We are given that;

f(x) = -3/X-1

Now,

To find the equation of f(x), we need to identify the slope and the y-intercept of the line. The slope is the ratio of the vertical change to the horizontal change between any two points on the line. The y-intercept is the value of f(x) when x = 0.

Looking at the graph, we can see that f(x) passes through the points (-8, 3) and (0, -3). The slope can be calculated as:

slope=run rise​= 0−(−8) f(0)−f(−8)​=0+8−3−3​=8−6​=−43​

The y-intercept can be found by plugging in x = 0 into the equation f(x) = slope  x + y-intercept and solving for y-intercept:

f(0)=−43​x0 + y-intercept

−3=y-intercept

Therefore, by the given function the answer will be f(x)=−43​x−3.

Learn more about function here:

https://brainly.com/question/2253924

#SPJ7

Timmy wants to buy a scooter and the price was $50. When he goes to the store the second time, he found that the price was marked down by 16%. What was the new price?

Answers

Answer:

kk

Step-by-step explanation:

Answer:

Step-by-step explanation:

20% of 50 is the same as writing 50 x 0.20, so we just do the math on that. Since it was marked down that much, we subtract the found 20% from the 50. The new price of the scooter is $40.

In ΔTUV, the measure of ∠V=90°, TV = 28, UT = 53, and VU = 45. What ratio represents the cosecant of ∠U?

Answers

Answer:

Cosecant U = 53 / 28

Step-by-step explanation:

Please see attached photo for diagram.

We'll begin by calculating the ratio of sine U. This can be obtained as follow:

Angle U = θ

Opposite = 28

Hypothenus = 53

Sine U =?

Sin θ = Opposite / Hypothenus

Sine θ = 28 / 53

Thus,

Sine U = 28 / 53

Finally, we shall determine the ratio of cosecant U. This can be obtained as follow:

Sine U = 28 / 53

Cosecant U =?

Cosecant U = 1 / Sine U

Cosecant U = 1 ÷ 28 / 53

Cosecant U = 1 × 53 / 28

Cosecant U = 53 / 28

A hose can fill a swimming pool in 12 hours. Another hose needs 2 more hours to fill the pool than the two hoses combined. How long would it take the second hose to fill the
pool?
hr

Answers

Answer:

6

Step-by-step explanation:

6 because 12 divided by 2 is 6 and it takes 2 hours to fill yw

What is the location of X' when X is translated 3 units left and 9 units down?

Answers

Answer:

-3,-9

Hope this helps

Answer:

(-3,-9)

Step-by-step explanation:

X goes first then Y, since they are both negative they go backwards on the graph

I forgot to put the whole i-ready question ;_;
pls my brain is about to explode to oblivion...​

Answers

Answer is 432.........

Use the number line below to find a fraction that is equivalent to 1/2

Answers

Answer:

4/8

Step-by-step explanation:

There are an infinite number of fractions equal to 1/2, but the number line in the question has 8 spaces, and shows 1 divided into 8 pieces. Therefore, the answer to this question is likely 4/8.

(may I ask why exactly this is put as a college level problem?)

Answer:

It should still be the same point.

Step-by-step explanation:

It should still be the same point, since the line did not increase in length, but the numbers of units has, and that does not affect the position of the half of the line.

Hey add me ages 11-13 please

Answers

No ur too young lol

can someone help me with math I don’t really understand it

Answers

1.) Crown pls ;)

A.) The domain is (-∞,∞) or (-infinity, infinity)

B.) The range is (0,∞) or (0, infinity)

C.) The y-intercept is (0,6)

D.) x-axis

E.) Base

2.)

Describe fully the single transformation that maps triangle A onto triangle B. please help ASAP​

Answers

Hi how you doing? “Be safe”
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