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1 year ago

Find the volume of the cylinder. Round your answer to the nearest tenth.

Mathematics

2 answers:

PilotLPTM [1.2K]1 year ago

8 0

15184.6

V = pi x r^ 2
H = pi x 13^2 x 28.6

Jet001 [13]1 year ago

5 0

Answer:

look at the photo

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What's the slope and y-intercept of the equation 3x + 4y = 8?

Anna71 [15]

Answer:

Slope = -3/4

y-intercept = 2

Step-by-step explanation:

$3x+4y = 8\\\therefore 4y = -3x +8\\\therefore y = \frac{-3}{4}x+ \frac{8}{4}\\\therefore y = \frac{-3}{4}x+2\\Equating \: it \: with\: \\y=mx+b\\Slope\:(m) = \frac{-3}{4}\\y-intercept\:(b) = 2$

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2 years ago

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The people of Whoville were shopping like crazy to get their lists completed! one customer bought a wreath for $12 and seven orn

Bezzdna [24]

Answer: 6 dollars

Step-by-step explanation: since the total price is 54 dollars and we know the price of the wreath, we subtract the wreath from the total, leaving us with 42. Then we do 42 divided by 7 to get the price per ornament(which is too high to be reasonable in any universe), 6 dollars.

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2 years ago

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The realtor and her clients do not know the average home sale price for all of Guelph (500 was actually just a guess). However,

strojnjashka [21]

Answer:

a) The 99% confidence interval would be given by (346.708;453.292)

b) The 99% confidence interval would be given by (338.445;461.555)

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".

$\bar X=400$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=80$ represent the population standard deviation

n=15 represent the sample size

2) Part a

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

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

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: "=-NORM.INV(0.005,0,1)".And we see that $z_{\alpha/2}=2.58$

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

$400-2.58\frac{80}{\sqrt{15}}=346.708$

$400+2.58\frac{80}{\sqrt{15}}=453.292$

So on this case the 99% confidence interval would be given by (346.708;453.292)

3) Part b

For this case we don't know the population deviation so we need to use the t distribution instead the normal standard distribution.

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

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

We need to find the degrees of freedom first df=n-1=15-1=14

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(0.005,14)".And we see that $t_{\alpha/2}=2.98$

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

$400-2.98\frac{80}{\sqrt{15}}=338.445$

$400+2.98\frac{80}{\sqrt{15}}=461.555$

So on this case the 99% confidence interval would be given by (338.445;461.555)

4 0

2 years ago

0.6x + 3 = 0.1x - 7 what value of x makes the question true

svetlana [45]

Answer:x=-20

Step-by-step explanation:

7 0

3 years ago

Please help with the question in the picture!!!

Sindrei [870]

Answer:

We have the measures:

1023 cm

2.3 m

8.72m

6430 mm

1200 mm

6.4 cm

2.5m

0.06km

Now let's write all those measures in the same unit, let's use meters.

We know that:

1cm = 0.01m

1mm = 0.001m

1 km = 1000m

Then, we can rewrie the measures as:

1023 cm = 1023*0.01 m = 10.23 m

2.3 m

8.72m

6430 mm = 6430*0.001 m = 6.430 m

1200mm = 1200*0.001 m = 1.2 m

6.4 cm = 6.4*0.01m = 0.064 m

2.5m

0.06km = 0.06*1000km = 60m

Then the order, from smallest to largest is:

6.4 cm

1200mm

2.3 m

2.5m

6430 mm

8.72m

1023 cm

0.06km

6 0

3 years ago