All categories

3 years ago

Water flows through a pipe at a rate of 12 cups every 5 hours. Express this rate of flow in gallons per week.

Mathematics

1 answer:

horrorfan [7]3 years ago

7 0

Answer:

Well 403.2 gallons per week

Step-by-step explanation:

So 24*7

168

168/5

33 3/5

33 3/5* 12

403.2

You might be interested in

Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.

fiasKO [112]

Answer:

B. x + 6

C. 4x - 1

Step-by-step explanation:

To get the two binomials of the trinomial, you split the middle term, like so:

$4x^2 - x + 24x - 6\\$

Group:

$(4x^2 - x) (24x - 6)$

Take out the GCF (Greatest Common Factor):

x(4x - 1) 6(4x - 1)

(x + 6) (4x - 1)

4 0

3 years ago

Pls help quick will put brainliest

Olin [163]

Answer:

m<SQP=124°

Step-by-step explanation:

Hi there!

We're given ΔQRS, the measure of <R (90°), and the measure of <S (34°)

we need to find m<SQP (given as x+72°)

exterior angle theorem is a theorem that states that an exterior angle (an angle on the OUTSIDE of a shape) is equal to the sum of the two remote interior angles (the angle OUTSIDE of a shape will be equal to the sum of 2 angles that are OPPOSITE to that angle).

that means that m<SQP=m<R+m<S (Exterior angle theorem)

substitute the known values into the equation

x+72°=90°+34° (substitution)

combine like terms on both sides

x+72°=124° (algebra)

subtract 72 from both sides

x=52° (algebra)

however, that's just the value of x. Because m<SQP is x+72°, add 52 and 72 together to get the value of m<SQP

m<SQP=x+72°=52°+72°=124° (substitution, algebra)

Hope this helps!

4 0

3 years ago

12. Marvin is paying off a $6,800 loan that he

pentagon [3]

Monthly Payments

$ 128.95

Total Principal Paid

$6,800

Total Interest Paid

$936.90

3 0

2 years ago

Suppose that the population of the scores of all high school seniors who took the SAT Math (SAT-M) test this year follows a Norm

Vlad1618 [11]

Answer:

Confidence = $1-\alpha=1-0.01=0.99$

And then the confidence level would be given by 99%

Step-by-step explanation:

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".

Assuming the X follows a normal distribution

$X \sim N(\mu, \sigma)$

The distribution for the sample mean is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\bar x =512$ represent the sample mean

$\sigma=100$ represent the population standard deviation

n= 100 sample size selected.

The confidence interval is given by this formula:

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

The marginof error for this case is given by Me=25.76. And we know that the formula for the margin of error is given by:

$Me=z_{\alpha/2} \frac{\sigma}{\sqrt{n}}$

$25.76=z_{\alpha/2} \frac{100}{\sqrt{100}}$

And we can find the critical value $z_{\alpha/2}$ like this:

$z_{\alpha/2}=\frac{25.76(\sqrt{100})}{100}=2.576$

And we know that on the right tail of the z score =2.576 we have $\alpha/2$ of the total area. We can find the area on the right of the z score using this excel code:

"=1-NORM.DIST(2.576,0,1,TRUE)" or using a table of the normal standard distribution, and we got 0.004998= $\alpha/2$ , so then $\alpha=0.00498*2=0.009995 \approx 0.01$ , and then we can find the confidence like this:

Confidence = $1-\alpha=1-0.01=0.99$

And then the confidence level would be given by 99%

8 0

3 years ago

Solve for x show all work -2× + 5=4× -7

Anestetic [448]

5=4x+2x-7
5+7=6x
12=6x
12/6=6x/6
2=x

6 0

3 years ago

Read 2 more answers