How do you do this question?

Answers

Answer 1

Answer:

True

Step-by-step explanation:

∫₀°° f(x) dx = ∫₀¹ f(x) dx + ∫₁°° f(x) dx

We know that ∫₁°° f(x) dx converges, and we know that f(x) is continuous on [0, 1], inclusive. Therefore, ∫₀¹ f(x) dx converges, so ∫₀°° f(x) dx converges.

Related Questions

4) Dan Ariely and colleagues have conducted some extremely interesting studies on cheating (see, for example Mazar, Amir, & Ariely, 2008). To provide an opportunity for cheating, participants are given a packet of problems and told they will be paid $0.50 for each correct answer. The experiment is setup, however, so that the participant doesn’t have to turn in their work, they simply have to state how many problems they solved to get paid. This provides a prime opportunity to cheat to earn extra money. In previous tests where the problems are properly scored, so no cheating, Ariely and colleagues found that scores are normally distributed:  = 3.3,  = 1.0. Here is a list of scores for participants who knew that their work would not be checked. Which of these would you suspect of cheating? Why?

Answers

I've attached the complete question.

Answer:

Only participant 1 is not cheating while the rest are cheating.

Because only participant 1 has a z-score that falls within the 95% confidence interval.

Step-by-step explanation:

We are given;

Mean; μ = 3.3

Standard deviation; s = 1

Participant 1: X = 4

Participant 2: X = 6

Participant 3: X = 7

Participant 4: X = 0

Z - score for participant 1:

z = (x - μ)/s

z = (4 - 3.3)/1

z = 0.7

Z-score for participant 2;

z = (6 - 3.3)/1

z = 2.7

Z-score for participant 3;

z = (7 - 3.3)/1

z = 3.7

Z-score for participant 4;

z = (0 - 3.3)/1

z = -3.3

Now from tables, the z-score value for confidence interval of 95% is between -1.96 and 1.96

Now, from all the participants z-score only participant 1 has a z-score that falls within the 95% confidence interval.

Thus, only participant 1 is not cheating while the rest are cheating.

please help math 30 points

Answers

Answer:

5 calories

Step-by-step explanation:

Set up a proportion: [tex]\frac{45}{225} = \frac{1}{x}[/tex] Cross multiply, then divide: 225 × 1 = 1, 225 ÷ 45 = 5x = 5

So, Raquel will burn 5 calories in 1 minute.

I hope this helps!

Director: Answer all question by shading all necessary steps
1. Find the exact value of (tan 105°)

Answers

I hope this helps you

Which statement could be used to explain why f(x) = 2x – 3 has an inverse relation that is a function?
1. The graph of f(x) passes the vertical line test.
2. f(x) is a one-to-one function.
3. The graph of the inverse of f(x) passes the horizontal line test.
4. f(x) is not a function.

Answers

Answer:

2. f(x) is a one-to-one function.

Step-by-step explanation:

If a relation passes the vertical line test, it is a function.

If a relation passes the vertical line test and the horizontal line test, then it is a one-to-one function, and its inverse is also a function.

Answer: 2. f(x) is a one-to-one function.

Item2 10 points eBookPrintReferences Check my work Check My Work button is now enabledItem 2Item 2 10 points In an article in the Journal of Advertising, Weinberger and Spotts compare the use of humor in television ads in the United States and the United Kingdom. They found that a substantially greater percentage of U.K. ads use humor. (a) Suppose that a random sample of 400 television ads in the United Kingdom reveals that 142 of these ads use humor. Find a point estimate of and a 95 percent confidence interval for the proportion of all U.K. television ads that use humor. (Round your answers to 3 decimal places.) (b) Suppose a random sample of 500 television ads in the United States reveals that 122 of these ads use humor. Find a point estimate of and a 95 percent confidence interval for the proportion of all U.S. television ads that use humor. (Round your answers to 3 decimal places.) (c) Do the confidence intervals you computed in parts a and b suggest that a greater percentage of U.K. ads use humor? Next Visit question mapQuestion 2 of 4 Total2 of 4 Prev

Answers

Answer:

point estimate is [tex]\r p = 0.355[/tex] i.e 35.5 %

confidence interval is [tex]0.3081 < p<0.4019[/tex]

point estimate is [tex]\r p = 0.244[/tex] i.e 24.4 %

confidence interval [tex]0.2064 < p<0.2816[/tex]

The confidence intervals you computed in parts a and b does not suggest that a greater number of U.K. ads use humor

Step-by-step explanation:

Considering the first question

The sample size is n = 400

The number of ads that use humor is k = 142

Generally the point estimate is mathematically represented as

[tex]\r p = \frac{k}{n}[/tex]

=> [tex]\r p = \frac{142}{400}[/tex]

=> [tex]\r p = 0.355[/tex]

Given that the confidence level is 95% then the level of significance is

[tex]\alpha =( 100 -95)\%[/tex]

=> [tex]\alpha =5\%[/tex]

=> [tex]\alpha =0.05[/tex]

From the normal distribution table the critical value for [tex]\frac{\alpha }{2}[/tex] is

[tex]Z_{\frac{\alpha }{2} } =Z_{\frac{0.05 }{2} } = 1.96[/tex]

Generally the standard error is mathematically represented as

[tex]SE = \sqrt{\frac{\r p(1 - \r p)}{n} }[/tex]

=> [tex]SE = \sqrt{\frac{0.355(1 - 0.355)}{400} }[/tex]

=> [tex]SE = 0.0239[/tex]

Generally the margin of error is mathematically represented as

[tex]E = Z_{\frac{\alpha }{2} } * SE[/tex]

[tex]E = 1.96 * 0.0239[/tex]

[tex]E = 0.0469[/tex]

Generally the 95% confidence interval is

[tex]\r p - E < p < \r p + E[/tex]

=> [tex]0.355 - 0.0469 < 0.355 + 0.0469[/tex]

=> [tex]0.3081 < p<0.4019[/tex]

Considering the second question

The sample size is n = 500

The number of ads that use humor is k = 122

Generally the point estimate is mathematically represented as

[tex]\r p = \frac{k}{n}[/tex]

=> [tex]\r p = \frac{122}{500}[/tex]

=> [tex]\r p = 0.244[/tex]

Generally the standard error is mathematically represented as

[tex]SE = \sqrt{\frac{\r p(1 - \r p)}{n} }[/tex]

=> [tex]SE = \sqrt{\frac{0.244(1 - 0.244)}{500} }[/tex]

=> [tex]SE = 0.0192[/tex]

Generally the margin of error is mathematically represented as

[tex]E = Z_{\frac{\alpha }{2} } * SE[/tex]

[tex]E = 1.96 * 0.0192[/tex]

[tex]E = 0.0376[/tex]

Generally the 95% confidence interval is

[tex]\r p - E < p < \r p + E[/tex]

=> [tex]0.244 - 0.0376 < 0.244 + 0.0376[/tex]

=> [tex]0.2064 < p<0.2816[/tex]

Considering third question

Looking at the confidence interval in a(first question ) and b(second question) we see that the upper limit of both interval is not up to or greater than 0.5 i.e 50% hence the confidence intervals you computed in parts a and b does not suggest that a greater percentage of U.K ads uses humor

M+2 6 is equal to what?

Answers

Answer:

Step-by-step explanation:

I'm going to assume you mean [ m + 2 = 6 ]

m + 2 = 6

~Subtract 2 to both sides

m = 4

Best of Luck!

A stack of letters is 2.4 inches thick. Each letter is 0.6 inches thick.
How many letters are in the stack?

Answers

Answer:

Step-by-step explanation:

0.6 x 4 is 2.4

Each dance class is hour. It takes a student 7 hours to learn a dance routine. Which
statement is true?
A student needs to take 6 dance classes to learn the routine.
A student needs to take 10 dance classes to learn the routine.
A student needs to take 5 dance classes to learn the routine.
A student needs to take 9 dance classes to learn the routine.
Done

Answers

Option 2 is your answer

Answer:

The correct option is (d) a student needs to take 10 dance classes to learn the routine.

Step-by-step explanation: Given that each dance class is hour and a student takes hours to learn a dance routine.

We are to select the TRUE statement.

Duration of each dance class is given by

and the time taken by a student to learn a dance routine is given by

Therefore, the number of dance class that a students needs to learn the dance routine will be

Thus, a student needs 10 dance classes to learn the dance routine.

Option (d) is CORRECT.

Step-by-step explanation:

What is the factorization of 121b^4 − 49?

Answers

Answer:

(11b^2 + 7) (11b^2 - 7)

Explanation:

Since both terms are perfect squares, factor using the difference of squares formula, a^2 - b^2 = (a + b) (a - b) where a = 121b^4 and b = 49

Answer:

Step-by-step explanation:

The table represents a function what is the value of f(-1)?

Answers

Answer:

Step-by-step explanation:

f(-1) is when x = -1

When x = -1, f(x) = 0.

For the function f(x) = 7x-x^2 find each of the following;

a) f(t-4)
b) f(p + 4)
c) f(a+h) - f(a)
d) f(t-1)+c
e) f(a) + 8

Answers

Answer:

Step-by-step explanation:

in the expression f(x), x is just a place holder. It can be replaced with any value you choose.

f(t-4) = 7(t-4) - (t-4)^2

f(p+4) = 7(p+4) - (p+4)^2

f(a+h)-f(a) = 7(a+h)^2 - (a+h)^2 - (7a-a^2)

f(t-1)+c = 7(t-1) - (t-1)^2 + c

f(a)+8 = 7a - a^2 + 8

you can simplify these some

Which equation can be used to find the value of b if side a measures 8.7 cm?