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3 years ago

15

A bathtub can hold 80 gallons of water. The faucet flows at a rate of 4 gallons per minute. What percentage of the tub will be f

illed after 6 minutes?

1 answer:

krok68 [10]3 years ago

6 0

Answer:

120

Step-by-step explanation:

80 divided by 2 is 40 plus 80 would be 120 which is 6 minutes worth of filling

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−13π/5 find the reference angle

miss Akunina [59]

I would convert to degrees first seems to make it easier.
$\frac{-13 \pi }{5}$ × $\frac{180}{ \pi }$
= -468
by adding 360 twice we get the coterminal angle 252

252 is in the 3rd quadrant so 180 is the closest angle on the x-axis
ref angle = 252 - 180 = 72

If necessary convert back to radians... $72( \frac{ \pi }{180} )= \frac{2 \pi }{5}$

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3 years ago

Determine whether the binomial is a factor of f(x).<br><br> f(x) = x3 + 11x2 + 24x - 36; x - 4

attashe74 [19]

If it is, then $f(4)$ would be equal $0$ .

$f(4)=4^3+11\cdot4^2+24\cdot4-36\\
f(4)=64+11\cdot16+96-36\\
f(4)=124+176\\
f(4)=300\not =0 \Rightarrow \text{ it isn't}$

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3 years ago

Banking fees have received much attention during the recent economic recession as banks look for ways to recover from the crisis

alex41 [277]

Answer:

a) The 95% confidence interval to estimate the average fee for the population is between $11.65 and $12.79

b) $0.57

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.96*\frac{1.86}{\sqrt{41}} = 0.57$

So the answer for b) is $0.57.

The lower end of the interval is the sample mean subtracted by M. So it is 12.22 - 0.57 = $11.65

The upper end of the interval is the sample mean added to M. So it is 12.22 + 0.57 = $12.79

The 95% confidence interval to estimate the average fee for the population is between $11.65 and $12.79

6 0

3 years ago

Harold has four classes each school morning each class is an hour long and there is 10 minutes between classes the first class s

Y_Kistochka [10]

The 4th class ends at 12:40

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3 years ago

line w passes through point (-6,-7) and has a slope 1/2. what is the equation for the line in point-slope form?

Elena L [17]

Answer:

y + 7 = $\frac{1}{2}$ (x + 6)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

Here m = $\frac{1}{2}$ and (a, b ) = (- 6, - 7 ) , then

y - (- 7) = $\frac{1}{2}$ (x - (- 6) ) , that is

y + 7 = $\frac{1}{2}$ (x + 6)

8 0

2 years ago

Read 2 more answers