Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Nate predicted that voter turnout for the next citywide election will be $23\%$ , with a margin of error of $3\%$ . Which of the following represents the plausible range of voter turnout based on Nate's prediction and margin of error? $\newline$ Choose $1$ answer: $\newline$ (A) Between $20\%$ and $26\%$ $\newline$ (B) Between $21.5\%$ and $24.5\%$ $\newline$ (C) Between $23\%$ and $26\%$ $\newline$ (D) Between $23\%$ and $29\%$

View step-by-step help

View step-by-step help

Find values of normal variables

Full solution

Q. Nate predicted that voter turnout for the next citywide election will be

23\%

, with a margin of error of

3\%

. Which of the following represents the plausible range of voter turnout based on Nate's prediction and margin of error?

\newline

Choose

1

answer:

\newline

(A) Between

20\%

and

26\%

\newline

(B) Between

21.5\%

and

24.5\%

\newline

(C) Between

23\%

and

26\%

\newline

(D) Between

23\%

and

29\%

Understand the problem: Understand the problem. $\newline$ Nate predicted a voter turnout of $23\%$ with a margin of error of $3\%$ . The margin of error means that the actual turnout could be $3\%$ higher or lower than the predicted $23\%$ .
Calculate lower limit: Calculate the lower limit of the range. $\newline$ To find the lower limit, subtract the margin of error from the predicted percentage. $\newline$ Lower limit $= \text{Predicted percentage} - \text{Margin of error}$ $\newline$ Lower limit $= 23\% - 3\%$ $\newline$ Lower limit $= 20\%$
Calculate upper limit: Calculate the upper limit of the range. $\newline$ To find the upper limit, add the margin of error to the predicted percentage. $\newline$ Upper limit = Predicted percentage + Margin of error $\newline$ Upper limit = $23\% + 3\%$ $\newline$ Upper limit = $26\%$
Define the range: Combine the lower and upper limits to define the range. $\newline$ The plausible range of voter turnout is between the lower limit and the upper limit. $\newline$ Range = Between $20\%$ and $26\%$

More problems from Find values of normal variables

Question

A restaurant server claims that \(28\)% of the time he leaves candy with the bill, the customer tips well.

\newline

If the server's claim is true, and one day he leaves candy with \(4\) customers' bills, what is the probability that exactly \(3\) of those customers will tip well?

\newline

Write your answer as a decimal rounded to the nearest thousandth.

Posted 1 month ago

Question

There is a spinner with `50` equally likely sections, numbered from `1` to `50`. You have the opportunity to spin it. If the number is odd, you win $`11`. If the number is even, you win nothing. If you play the game, what is the expected payoff?\(\$\)_____

Posted 2 months ago

Question

There are two different raffles you can enter.

\newline

In raffle A, one ticket will win a `$720` prize, and the other tickets will win nothing. There are

1,000

in the raffle, each costing `$11`.

\newline

Raffle B is for a `$370` prize. Out of

125

tickets, each costing `$5`, one ticket will win the prize, and the other tickets will win nothing.

\newline

Which raffle is a better deal?

\newline

\newline

\text{[A]Raffle A}

\newline

\text{[B]Raffle B}

Posted 2 months ago

Question

X

is a normally distributed random variable with mean

49

and standard deviation

25

\newline

What is the probability that

X

24

74

?

\newline

0.68-0.95-0.997

rule and write your answer as a decimal. Round to the nearest thousandth if necessary.

\newline

Posted 2 months ago

Question

X

is a normally distributed random variable with mean

65

and standard deviation

8

\newline

What is the probability that

X

62

68

?

\newline

Write your answer as a decimal rounded to the nearest thousandth.

\newline

Posted 2 months ago

Question

Complete the statement. Round your answer to the nearest thousandth.

\newline

In a population that is normally distributed with mean

43

and standard deviation

3

30\%

of the values are those less than ______.

Posted 2 months ago

Question

Y

is the number of desserts available in a randomly chosen restaurant.

\newline

Is the random variable

Y

discrete or continuous?

\newline

\newline

\text{[A]discrete}

\newline

\text{[B]continuous}

Posted 2 months ago

Question

Which of the following functions are continuous for all real numbers?

\newline

g(x)=\ln (x)

\newline

f(x)=\frac{1}{x}

\newline

1

\newline

g

\newline

f

\newline

g

f

\newline

g

f

Posted 3 months ago

Question

Which of the following functions are continuous at

x=-1

\newline

g(x)=\sin (x+1)

\newline

f(x)=\frac{1}{x-1}

\newline

1

\newline

g

\newline

f

\newline

g

f

\newline

g

f

Posted 2 months ago

Question

g

be a continuous function on the closed interval

[-1,4]

g(-1)=-4

g(4)=1

\newline

Which of the following is guaranteed by the Intermediate Value Theorem?

\newline

1

\newline

g(c)=-3

for at least one

c

-1

4

\newline

g(c)=3

for at least one

c

-4

1

\newline

g(c)=-3

for at least one

c

-4

1

\newline

g(c)=3

for at least one

c

-1

4

Posted 1 month ago