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3 years ago

Select the correct answer.

Mathematics

1 answer:

ella [17]3 years ago

7 0

Answer:

I think its the answer is B im not sure

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Find the average value of the function on the given interval.<br> f(x)=ex/7; [0,7]

Anastaziya [24]

Answer:

$f_{avg}=e-1$

Step-by-step explanation:

We are given that a function

$f(x)=e^{\frac{x}{7}}$

We have to find the average value of function on the given interval [0,7]

Average value of function on interval [a,b] is given by

$\frac{1}{b-a}\int_{a}^{b}f(x)dx$

Using the formula

$f_{avg}=\frac{1}{7-0}\int_{0}^{7}e^{\frac{x}{7}} dx$

$f_{avg}=\frac{1}{7}[e^{\frac{x}{7}}\times 7)]^{7}_{0}$

By using the formula

$\int e^{ax}=\frac{e^{ax}}{a}$

$f_{avg}=(e-e^0)=e-1$

Because $e^0=1$

$f_{avg}=e-1$

Hence, the average value of function on interval [0,7]

$f_{avg}=e-1$

8 0

3 years ago

In the 2000 Sydney Olympics, a special program initiated by IOC president Juan Antonio Samaranch allowed developing countries to

jok3333 [9.3K]

Answer:

The means for times for the first round of the 100 meter men’s swim is 52.64789 seconds

The satandar deviation for times for the first round of the 100 meter men’s swim is 7.60182 seconds

Step-by-step explanation:

The sample mean for a set of n data is given by:

$\bar X = \frac{1}{n}\sum{x_i}$

In other words, the sample mean of the times for 71 times of the first round measured in seconds is:

$\bar X = \frac{1}{71}\sum{x_i} = 52.64789$ seconds

The sample standard deviation for a set of n data is given by:

$S = \sqrt{\frac{1}{n-1}\sum{(x_i - \bar x)^2}}$

In other words, the sample standard deviation of the times for 71 times of the first round measured in seconds is:

$S = \sqrt{\frac{1}{n-1}\sum{(x_i - \bar x)^2}} = 7.60182$ seconds

8 0

3 years ago

Which statement is not one of the five essential parts needed to construct a good proof? a. Develop a system of inductive reason

notka56 [123]

the answer is D ................ .

5 0

3 years ago

List the number from least to greatest <br> -1.7,-4/3,-1.5,-6/5,-1.8,-8/5

andriy [413]

-1.8, -1.7, -8/5, 1.5, -4/3, -6/5,

7 0

3 years ago

At best buy they have a 42" TV that sells for $1250 and is on sale 15% and sales tax is 6%.What is the final cost?

Marat540 [252]

Ok so
sale is 15% off
and add 6% tax

100-15=85
100+6=106

therefor
1250 with 15% discount plus 6% tax means
1250 times 85% times 106% =
1250 times 0.85 times 1.06=1126.25
final cost=$1126.25

4 0

3 years ago

Read 2 more answers