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brilliants [131]
2 years ago
11

What is the average rate of change for this function for the interval from x= 1

Mathematics
1 answer:
Usimov [2.4K]2 years ago
8 0

Answer:

  C. 8

Step-by-step explanation:

The average rate of change is the slope of the line between the two points of interest. It is given by the formula ...

  m = (y2 -y1)/(x2 -x1)

For points (1, 2) and (3, 18), the average rate of change is ...

  m = (18 -2)/(3 -1) = 16/2 = 8

The average rate of change between x=1 and x=3 is 8.

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student randomly receive 1 of 4 versions(A, B, C, D) of a math test. What is the probability that at least 3 of the 5 student te
alexdok [17]

Answer:

1.2%

Step-by-step explanation:

We are given that the students receive different versions of the math namely A, B, C and D.

So, the probability that a student receives version A = \frac{1}{4}.

Thus, the probability that the student does not receive version A = 1-\frac{1}{4} = \frac{3}{4}.

So, the possibilities that at-least 3 out of 5 students receive version A are,

1) 3 receives version A and 2 does not receive version A

2) 4 receives version A and 1 does not receive version A

3) All 5 students receive version A

Then the probability that at-least 3 out of 5 students receive version A is given by,

\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}\times \frac{3}{4}+\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}+\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}

= (\frac{1}{4})^3\times (\frac{3}{4})^2+(\frac{1}{4})^4\times (\frac{3}{4})+(\frac{1}{4})^5

= (\frac{1}{4})^3\times (\frac{3}{4})[\frac{3}{4}+\frac{1}{4}+(\frac{1}{4})^2]

= (\frac{3}{4^4})[1+\frac{1}{16}]

= (\frac{3}{256})[\frac{17}{16}]

= 0.01171875 × 1.0625

= 0.01245

Thus, the probability that at least 3 out of 5 students receive version A is 0.0124

So, in percent the probability is 0.0124 × 100 = 1.24%

To the nearest tenth, the required probability is 1.2%.

4 0
3 years ago
Kite ABCD is similar to kite IJKL. Angle B is congruent to the measure of angle ___.
IgorC [24]
Similarity implies correspondence. Angles are listed in the order in which they are congruent to one another. A is congruent to I, B is congruent to J, C is congruent to K, D is congruent to L.
8 0
3 years ago
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vova2212 [387]

Answer:

0.28

Step-by-step explanation:

8 0
3 years ago
A number n plus 8 is greater than 11.
Bumek [7]
N+8>11 is the answer you are looking for 

8 0
3 years ago
What is the answer to -5 ( 4w +12) =15 make sure you write the answer as a decimal
seropon [69]

Answer:

w= -3.75

Step-by-step explanation:

-5(4w+12) =15

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3 years ago
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