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3 years ago

Find volume of this cylinder

Mathematics

1 answer:

Butoxors [25]3 years ago

5 0

Answer:

1,470.265 (or about 1,470.3 when rounded to nearest tenth) feet cubed

Step-by-step explanation:

May this bring you more knowledge

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A realtor would like to create a 95% confidence interval for the average price of a house in Franklin County, Ohio. To accomplis

VMariaS [17]

Answer:

$320128-1.96\frac{50324}{\sqrt{529}}=315839.52$

$320128+1.96\frac{50324}{\sqrt{529}}=324416.48$

So on this case the 95% confidence interval would be given by (315839.52;324416.48)

Step-by-step explanation:

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".

$\bar X=320128$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=50324$ represent the population standard deviation

n=529 represent the sample size

Solution to the problem

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 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that $z_{\alpha/2}=1.96$

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

$320128-1.96\frac{50324}{\sqrt{529}}=315839.52$

$320128+1.96\frac{50324}{\sqrt{529}}=324416.48$

So on this case the 95% confidence interval would be given by (315839.52;324416.48)

8 0

3 years ago

The path of a punted football is given by the function: f(x) = (-16/1225)x^2 + (7/5)x + 2.5 where f(x) is the height (in feet) a

nadezda [96]

<span>To find the length of the punt, we equate the expression to zero i.e. f(x) = 0 ,Given, f(x) is the height (in feet) and x is the horizontal distance (in feet) from the point at which the ball is punted. or (-16/1225)x^2 + (7/5)x + 2.5 = 0. On solving for x we get, x = 108 ft.</span>

3 0

3 years ago

PUT THE NUMBERS FROM LEAST TO GREATEST

Alenkasestr [34]

Answer:

300,000, 10 million, 15 million, 240 million, and 4.6 billion

Step-by-step explanation:

6 0

2 years ago

Which balloons traveled 11,595 feet farther than Martin? Draw a strip diagram and write a number sentence to solve the problem.

coldgirl [10]

From the table we notice that:

$41507-29912=11595$

This means that Diana traveled 11595 ft more than martin; this also means that Jake and Abby traveled more than that amount farther than Martin's balloon (since their distances are greater that Diana's distance)

Therefore, Abby's Jake's and Diana's balloons traveled 11595 ft farther than Martin's balloons.

6 0

1 year ago

Calculati:

kramer

Answer:

Step-by-step explanation:

[(1/3 – 1/9)² + (1/3)³] : (1/3)⁴

Next, we shall simplify (1/3 – 1/9)². This is illustrated below:

(1/3 – 1/9)² = ((3 – 1)/9)² = (2/9)²

[(1/3 – 1/9)² + (1/3)³] : (1/3)⁴

= [(2/9)² + (1/3)³] : (1/3)⁴

= [4/81 + 1/27] : 1/81

= [(4 + 3)/81 ] : 1/81

= 7/81 : 1/81

= 7/81 ÷ 1/81

Invert

= 7/81 × 81/1

= 7

5 0

3 years ago