The daily revenue from the sale of fried dough at a local street vendor in Boston is known to be normally distributed with a known standard deviation of $120. The revenue on each of the last 25 days is noted, and the average is computed as $550. A 95% confidence interval is constructed for the population mean revenue. If the data from the last 40 days had been used, then the resulting 95% confidence intervals would have been _____________________. Multiple Choice narrower, with a larger probability of reporting an incorrect interval wider, with the same probability of reporting an incorrect interval narrower, with the same probability of reporting an incorrect interval wider, with a larger probability of reporting an incorrect interval Next

Answers

Answer 1

Answer:

Answer:

Narrower with the same probability of reporting an incorrect interval

Step-by-step explanation:

Increasing the sample size shrinks the width of the confidence interval because the larger the sample size, the more accurate the sample represents the true population.

Standard Error is calculated by multiplying the z or t score of the confidence level by the standard deviation, then dividing by the square root of the sample size

E = z(s)/√n

t scores are used for samples below a size of 30. All t values for 95% confidence are higher than the z score of 1.96, which is used when the sample is greater than 30. This causes a larger value for the error estimate, therefore creating a larger width for the confidence interval.

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George rides his bike 9km south and then 12 km east. How far is he from his staring point?

Answers

15 km hopes helps u...

An inlet pipe on a swimming pool can be used to fill the pool in 40 hours. The drain pipe can be used to empty the pool in 45 hours. If the pool is 14 filled and then the inlet pipe and drain pipe are opened, how many more hours would it take to fill the pool? Round your answer to two decimal places, if needed.

Answers

Answer:

It would take 90 hours to fill the pool.

Step-by-step explanation:

There is a mistake in the question so it is corrected below:

An inlet pipe on a swimming pool can be used to fill the pool in 40 hours. The drain pipe can be used to empty the pool in 45 hours. If the pool is 1/4 filled and then the inlet pipe and drain pipe are opened, how many more hours would it take to fill the pool?

Now, to find the hours would it take to fill the 1/4 pool.

Let the hours it take to fill the $(1)/(4)$ pool be $h.$

A swimming pool can be used to fill the pool in 40 hours.

So, the rate of filling the pool = $(1)/(40)$ .

As, given the drain pipe can be used to empty the pool in 45 hours.

Thus, the rate of draining the pool = $(1)/(45)$ .

According to question:

$(1)/(40) -(1)/(45) =((1)/(4))/(h)$

$(1)/(40) -(1)/(45) =(1)/(4h)$

$(45-40)/(1800) =(1)/(4h)$

$(5)/(1800) =(1)/(4h)$

Using cross multiplication:

$20h=1800$

Dividing both sides by 20 we get:

$h=90\ hours.$

Therefore, it would take 90 hours to fill the pool.

What is the height of a triangle if the base is 10 cm and the sides are 13 cm

Answers

if the sides (plural, meaning more than 1) and the base is 10

that means
2 sides=13 cm
base=10
since 2 sides equal legnths, isocolees
draw a line from the top angle, opposite the base side, perpendicular to the base
you will form 2 right triangles each with a base of 10/2=5 and a hypotonuse of 13 solve for other leg

a^2+b^2=c^2
c=hypotonuse=13
a=10=1 leg
b=mystery leg (height)

10^2+x^2=13^2
100+x^2=169
subtract 100 from both sides
x^2=69
take square root of both sides
x=√69

it would be safe to put √69 as the answe since it cannot be simplified into a whole number (about 8.3066238629181)

because the sides are the same it is an isosceles triangle, therefore the altitude forms two right triangles and also bisects the base

Apply the Pythagorean Theorem
5^2 + h^2= 13^2

25+h^2= 169
   h^2= 144
   h=12

FYI there are familiar combinations for right triangles, might be worthwhile to check them out, it will save a lot of time.

Some examples are 3,4,5 / 5,12. 13 / 9,40,41 etc

Hope this helps

If a set has 1,024 subsets, how many elements does it have?

Answers

Answer:

If a set has 1,024 subsets,then it has 10 elements

Step-by-step explanation:

If A is a set containing n elements then total numbers of subsets of A are $2^n$

Here, we are given that

$2^n=1024$

We know that

$1024=2^(10)$

i.e. $2^n=2^(10)$

Hence, n=10

Hence, If a set has 1,024 subsets,then it has 10 elements

Which ratio is expressed as a unit rate?A $1.00/$1.00lb
B 1page /3min
C 16in./16sec
D 67miles/60min

Answers

Answer:

Option A.

Step-by-step explanation:

The question asked for a unit rate. This means that there should be no denominator higher than 1. Option A is the only one which have a denominator of 1.

True or False. When graphing the inequality y>3x+2 the line drawn would be a solid line.

Answers

Answer:

False

Step-by-step explanation:

Since the inequality uses the greater than symbol >

Then the line drawn should be a broken line.

If the inequality had ≥ ( greater than or equal to )

Then the line would be solid.

the guy above is correct

The answer is: False

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