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NARA [144]
2 years ago
3

Lars wants to know if warming up will help runners sprint faster. Twenty-four track and field athletes volunteered to participat

e in his study. He randomly assigns 12 athletes to warm-up for 10 minutes. All 24 participants sprint the same distance. He calculates the mean for each group and determines that the mean for the warm-up group was 7.8 seconds and the mean for the other group was 9.8 seconds. To test the difference of means, he re-randomized the data 54 times, and the differences are plotted in the dot plot below. What can Lars conclude from her study?
The difference in the means is significant because a difference of 2 is very likely.
The difference in the means is significant because a difference of 2 is not very likely.
The difference in the means is not significant because a difference of 2 is not very likely.
The difference in the means is not significant because a difference of 2 is very likely.
Mathematics
2 answers:
vaieri [72.5K]2 years ago
6 0

Answer:

The difference in the means is significant because a difference of 2 is not very likely.

Step-by-step explanation:

Aliun [14]2 years ago
3 0

The difference in the means is significant because a difference of 2 is not very likely.

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A club is making posters to raise money. The printing company charges a base fee of $60 and $2 per poster. How many posters can
Ad libitum [116K]

Answer:

120 posters

Step-by-step explanation:

300 - 60 = 240

240/2 = 120

8 0
2 years ago
Read 2 more answers
Carla was trying to decide what to do Saturday evening. She has $100 available to spend for the evening. She has narrowed her ch
hjlf

Answer:


Step-by-step explanation:

If carla wants to spend the least amount of money she should go to the Braves game because it has one of the lowwest admission and the food is cheaper than any where else. Yes, the concert admission is the same price but the tee-shirts and soda costs more.

3 0
2 years ago
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Use the graph to write an explicit function to represent the data and determine how much money Amy earned in week 5.
zalisa [80]

Answer:

3rd option

f(n)=5(3)^{n-1}

f(5)=405

Step-by-step explanation:

So we are given the following points:

(1,5)

(2,15)

(3,45)

(4,135)

This is a geometric sequence because there is a common ratio, 3. That is you can keep multiply 3 to a previous y-coordinate to get the next y-coordinate.

The formula for a geometric sequence is f(n)=a_1 \cdot r^{n-1}

where a_1 is the first term and r is the common ration.

So we have

f(n)=5 \cdot (3)^{n-1}.

If you want to know the fifth term, just plug in 5:

f(5)=5 \cdot (3)^{5-1}

Simplifying:

f(5)=5 \cdot 3^4

f(5)=5 \cdot 81

f(5)=405

3 0
2 years ago
Read 2 more answers
Mrs. Adams deposited $12,000 into an account that earns an annual simple interest rate of 3.25%. She makes no other deposits or
lisabon 2012 [21]

Answer:

<em>Mrs. Adams will earn $3,120 of interest at the end of year 8.</em>

Step-by-step explanation:

<u>Simple Interest</u>

In simple interest, the money earns interest at a fixed rate, assuming no new money is coming in or out of the account.

We can calculate the interests earned by an investment of value A in a period of time t, at an interest rate r with the formula:

I=A.r.t

Mrs. Adams deposited an amount of A=$12,000 into an account that earns an annual simple interest rate of r=3.25%. We must find the interest earned in t=8 years. The interest rate is converted to decimal as:

r=3.25/100=0.0325

The interest is then calculated:

I=12,000\cdot 0.0325\cdot 8=3,120

Mrs. Adams will earn $3,120 of interest at the end of year 8.

7 0
2 years ago
Connor wants to solve the equation 4x=26. How could he use graphs to solve this equation?
astraxan [27]

Answer:

  • <u>He should graph the functions f(x) = 4x and g(x) = 26 in the same coordinate plane. The x-coordinate of the intersection point of the two graphs is the solution of the equation.</u>

Explanation:

<em>To solve the equation 4x = 26</em> using graphs, he should graph two functions in the same coordinate plane. The intersection of the two graphs is the solution of the equation.

The functions to graph are f(x) = 4x, and g(x) = 26.

The graph of f(x) = 4x is a line that goes through the origin (0,0) and has slope 4.

Some of the points to graph that line are:

<u>x            f(x) = 4x             </u>

0        4(0) = 0 →    (0,0)

2        4(2) = 8 →    (2,8)

4        4(4) = 16 →   (4,16)

6        4(6) = 24 →  (4, 24)

With those points you can do an excellent graph of f(x) = 4x

The graph of g(x) = 26 is horizontal line (parallel to the y-axis) that passes through the point (0, 26), which is the y -intercept.

You have to extend both graphs until they intersect each other. The x-coordinate of the intersection point is the solution of the function.

7 0
2 years ago
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