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3241004551 [841]
3 years ago
7

Find the zeros of the function. Enter the solutions from least to greatest. f(x) = (x - 1)^2-36

Mathematics
1 answer:
aev [14]3 years ago
8 0

Answer:-5 and 7

Step-by-step explanation:

You might be interested in
What is the answer for Ab•2b
7nadin3 [17]

Answer:

2Ab^2

Step-by-step explanation:

I think its right

4 0
3 years ago
A half-filled cylindrical water tank has a water level of 20 feet high. The tank can hold 6000 cubic feet of water. Find the dia
Anettt [7]

Answer:

d = 13.8 feet

Step-by-step explanation:

Because we are talking about cubic feet of water, we need the formula for the VOLUME of a cylinder.  That formula is

V=\pi r^2h

We will use 3.141592654 for pi; if the tank HALF filled with water is at 20 feet, then the height of the tank is 40 feet, so h = 40; and the volume it can hold in total is 6000 cubic feet.  Filling in then gives us:

6000=(3.141592654)(r^2)(40)

Simplify on the right to get

6000=125.6637061r^2

Divide both sides by 125.6637061 to get that

r^2=47.74648294

Taking the square root of both sides gives you

r = 6.90988299

But the diameter is twice the radius, so multiply that r value by 2 to get that the diameter to the nearest tenth of a foot is 13.8

5 0
3 years ago
Estimate the minimum and maximum ages for typical textbooks currently used in college courses, then use the range rule of thumb
Maksim231197 [3]

Answer:

n=(\frac{1.64(4)}{0.25})^2 =688.537 \approx 689

So the answer for this case would be n=689 rounded up to the nearest integer

Step-by-step explanation:

Assuming this complete question: "Suppose that the minimum and maximum ages for typical textbooks currently used in college courses are 0 and 8 years. Use the range rule of thumb to estimate the standard deviation.

Estimate the minimum and maximum ages for typical textbooks currently used in college courses, then use the range rule of thumb to estimate the standard deviation. Next, find the size of the sample required to estimate the mean age (in years) of textbooks currently used in college courses. Use a 90% confidence level and assume that the sample mean will be in error by no more than 0.25 year."

Solution for the problem

First we need ti find the estimation for the standard deviation using the Rule of thumb, with the following formula:

s \approx \frac{R}{4}

Where R is the range defined as :

R = Max - Min = 8-0 = 8

So then the deviation would be approximately:

s \approx 4

Important 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 (ME) 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".

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (1)

And on this case we have that ME =\pm 0.25 and we are interested in order to find the value of n, if we solve n from equation (1) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (2)

We can assume that the estimator for the population deviation from the rule of thumb is \hat \sigma = s= 4

The critical value for 90% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.05;0;1)", and we got z_{\alpha/2}=1.64, replacing into formula (2) we got:

n=(\frac{1.64(4)}{0.25})^2 =688.537 \approx 689

So the answer for this case would be n=689 rounded up to the nearest integer

6 0
3 years ago
The car company is trying to make a car that is more fuel efficient, meaning it takes less force to get the car to move. Explain
agasfer [191]

Step-by-step explanation:

<h2><em><u>Fuel technologies and advanced motor oil innovation</u></em></h2><h2 /><h2><em><u>Fuel technologies and advanced motor oil innovationExxonMobil is committed to developing and supplying quality fuels, which is why we have an entire active research organization dedicated to ensuring that the product pumped into your vehicle is the latest technology in industry innovation.</u></em></h2><h2 /><h2><em><u>Fuel technologies and advanced motor oil innovationExxonMobil is committed to developing and supplying quality fuels, which is why we have an entire active research organization dedicated to ensuring that the product pumped into your vehicle is the latest technology in industry innovation.Additionally, our breakthrough lubricants offer drivers a longer interval between oil changes and improved engine efficiency, while still providing outstanding performance and protection. Our specially formulated synthetic motor oil products are tailored to improving engine function, whether it be for greater durability, better wear protection or running a cleaner engine.</u></em></h2>
4 0
3 years ago
Read 2 more answers
Please helppp meeeee
Sedbober [7]
May be I’m wrong, but I think all you have to do is 8x8x8= which is 512

Take your five twelve and divide by 3.14 and that leaves 163.057!

Hope this helps you.
~Brooke❤️
5 0
3 years ago
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