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Murrr4er [49]
3 years ago
7

If f(x)=x^3-x, what is the average rate of change of f(x) over the interval [1,5]?

Mathematics
1 answer:
RSB [31]3 years ago
4 0

Answer:

30

Step-by-step explanation:

Average rate of change=Δf(x)/Δx = [f(x2)-f(x1]/[x2-x1]

Δf(x)/Δx = [f(5)-f(1]/[5-1]

f(5)=5³-5=120

f(1)=1³-1=0

Δf(x)/Δx = [120-0]/[5-1]=120/4=30

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PLEASE HELP! A juice company gives prizes to anyone finding specially marked caps on its juice bottles. You and your friends buy
laiz [17]

The odds in favor of winning a prize in the contest of the juice company which gives prizes to anyone finding specially marked caps is 3.2.

<h3>What is odds against?</h3>

In probability, the term odds against is the ratio of probability of non occurring a favorable event to the probability of occurring a favorable event. It can be given as,

\text{odd against}=\dfrac{P(\overline A)}{P(A)}

Here, P(\overline A) is the probability of not occurring a favorable event, and P(A) is the probability of occurring a favorable event.

A juice company gives the prizes to anyone finding specially marked caps on its juice bottles. The 4 bottles have winning cap in 20 bottles. Thus, the probability of winning is,

P(A)=\dfrac{4}{20}\\P(A)=\dfrac{1}{5}

The probability of not winning is,

P(\overline A)=1-\dfrac{1}{5}\\P=\dfrac{4}{5}

Thus, the odd against the winning is,

\text{odd against}=\dfrac{\dfrac{4}{5}}{\dfrac{1}{4}}\\\text{odd against}=\dfrac{16}{5}\\\text{odd against}=3.2

Thus, the odds in favor of winning a prize in the contest of the juice company which gives prizes to anyone finding specially marked caps is 3.2.

Learn more about the odds against here;

brainly.com/question/1870238

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7 0
2 years ago
Help me with the answers
Luba_88 [7]
4 dozen muffins will be 2.5 cups of flour
times 5 is 12.5 cups of flour for 20 dozen muffins
8 0
3 years ago
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Juli2301 [7.4K]

Answer:

4/8

Step-by-step explanation:

8 is how many cookies in total and 4 is how many that needs to be distributed.

7 0
3 years ago
(10-3)*2+(5-14/2 help
Dafna11 [192]
2(10-3) distribute = 2*10 is 20 and 2*3 is 6
20-6+(5-14/2)
now 20-6 is 14
14+(5-14/2)
now 14/2 is 7
14+(5-7)
now 5-7 is -2
14+-2
is 12 
the answer is 12
but if you want to you can do 12/3 to get the greatest common factor 
which is 4
hope i help you :P 
6 0
3 years ago
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The path of a soccer ball is modeled by the function h(x) = -0.005x2 + 0.25x, where h is the height in meters and x is the horiz
NemiM [27]

The maximum height that the ball reaches is 3.125m. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

6 0
3 years ago
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