A(n.4) and B(6,8) and is parallel to y = 2x-5. What is the value of n?

An electric pump can fill a 45-gallon tub in half an hour.At this rate, how long would it take to fill a 60-gallon tub?

zysi [14]

You can cross multiply to find the answer. Start by setting up your equation:

45/30 = 60/x (30 represents half an hour)
Next, cross multiply, 45 times x, and 60 times 30:

45x = 1800 you must isolate the "x" value by using the opposite operation it is involved in. Here we have 45x (x is multiplied to 45) so we must divide 45, which will cancel itself out, leaving us with "x."

What you do on one side of the equation, you must do on the other, so divide 1800 by 45 as well, which will leave you with 40.

Working it out on paper, your equation should now look like this: x=40, which represents the amount of time it will take to fill a 60 gallon tube.

Answer: It will take 40 minutes to fill a 60 gallon tube.

8 0

2 years ago

Eric bought a ruler for $1.29 and an eraser for $0.39. He paid with $2.00. What is the correct amount of change he should get ba

igor_vitrenko [27]

Answer:

$0.32, so a quarter a nickel and 2 pennies

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Pls help I’ll brainlest and add extra points

Phoenix [80]

Answer:

26. D) $252

27. A) -6.7 + 6.8

Step-by-step explanation:

26. 400 * 0.3 = 120

400 - 120 = 280

280 * 0.1 = 28 (because the 10% is additional, cannot add it to the original 30%)

280 - 28 = 252

27. -4.5 + 4.4 = -0.1

- 6.7 + 6.8 = 0.1

-0.1 + 0.1 = 0

6 0

2 years ago

Crash Hospital Costs. A study was conducts to estimate hospital costs for accident victims who wore seat belts. Twenty randomly

kvv77 [185]

Answer:

a) The 99% confidence interval would be given by (5004.168;12603.832)

b) For this case we can use the lower bound for the confidence interval as estimation, on this case 5004.168. But we need to take in count that this value it's with 99% of confidence and 1% of significance and 1% of probability to commit type Error I

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X =9004$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=5629 represent the sample standard deviation

n=20 represent the sample size

2) Part a

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=20-1=19$

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,19)".And we see that $t_{\alpha/2}=2.86$

Now we have everything in order to replace into formula (1):

$9004-2.86\frac{5629}{\sqrt{20}}=5004.168$

$9004+2.86\frac{5629}{\sqrt{20}}=12603.832$

So on this case the 99% confidence interval would be given by (5004.168;12603.832)

3) Part b

For this case we can use the lower bound for the confidence interval as estimation, on this case 5004.168. But we need to take in count that this value it's with 99% of confidence and 1% of significance and 1% of probability to commit type Error I

7 0

2 years ago

This should be the last question for the day...hopefully

andrew11 [14]

I’d think it’s equated to the one, why I think that? Idek.

5 0

2 years ago