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Kamila [148]
3 years ago
8

What is the average rate of change for ƒ(x) = −3^x+ 79 over the interval 2 ≤ x ≤ 4?

Mathematics
1 answer:
Alinara [238K]3 years ago
5 0

Answer:

The average is 124

Step-by-step explanation:

When x=2 substitute into the equation given above

-3^2+79

9+79=88...(1)

When x=4

-3^4+79

81+79=160(2)

Average of (1) and (2)

160+88/2

=248/2

=124

Therefore the average rate is 124

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Law Incorporation [45]
First, isolate 1/3s:
1/3s=12
Second, multiply both sides by 3 to get a singular value of s (just s):
s=36


4 0
3 years ago
The Environmental Protection Agency (EPA) publishes fuel economy values that are known to be good estimates of the fuel economy
r-ruslan [8.4K]

Answer:

The 90% confidence interval for the mean combined fuel economy for Ford Explorers is between 22.95 and 23.63 mpg.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 16 - 1 = 15

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 15 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.9}{2} = 0.95. So we have T = 1.7531

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 1.7531\frac{0.78}{\sqrt{16}} = 0.34

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 23.29 - 0.34 = 22.95 mpg

The upper end of the interval is the sample mean added to M. So it is 23.29 + 0.34 = 23.63 mpg

The 90% confidence interval for the mean combined fuel economy for Ford Explorers is between 22.95 and 23.63 mpg.

7 0
2 years ago
Round 789,091 to nearest ten thousands
Shkiper50 [21]

Answer:

790,000 is the answer

8 0
3 years ago
Read 2 more answers
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WARRIOR [948]

Answer:

D) The expression equals 0

Step-by-step explanation:

-8 + 8 = 0

the negative and positive cancel eachother out

5 0
2 years ago
Read 2 more answers
Given f(x) = 2x + 3 and g(x) = x - 9, what is f(x) + g(x)?
Orlov [11]
Solution:

f(x) = 2x + 3
g(x) = x - 9

f(x) + g(x)
= (2x + 3) + (x - 9)
= 2x + x + 3 - 9
= 3x - 6
6 0
3 years ago
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