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Elina [12.6K]
3 years ago
12

Find the lateral surface area of the cylinder to two decimal places. will mark as brainiest

Mathematics
1 answer:
lidiya [134]3 years ago
5 0

Answer:

Step-by-step explanation:

lateral surface area=2πrh

=2π×2×9

=36π

≈36×3.14

≈130.04 sq.ft

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A sample of 8 buttons is randomly selected and the following diameters are measured in inches. Give a point estimate for the pop
kenny6666 [7]

Answer:

\bar X= \frac{1.83+1.85+1.79+1.73+1.69+1.74+1.76+1.70}{8}= 1.76125

Now we can estimate the population variance with the sample variance given by:

s^2 = \frac{\sum_{i=1}^n (x_i -\bar X)^2}{n-1}

And replacing we got:

s^2 = 0.0033839

And the estimator for the population deviation \sigma is given by :

\hat \sigma = \sqrt{s^2}= \sqrt{0.0033839}= 0.058172

Step-by-step explanation:

For this case we have the following data given:

1.83,1.85,1.79,1.73,1.69,1.74,1.76,1.70

First we need to calculate the mean with the following formula:

\bar X= \frac{\sum_{i=1}^n X_i}{n}

And replacing we got:

\bar X= \frac{1.83+1.85+1.79+1.73+1.69+1.74+1.76+1.70}{8}= 1.76125

Now we can estimate the population variance with the sample variance given by:

s^2 = \frac{\sum_{i=1}^n (x_i -\bar X)^2}{n-1}

And replacing we got:

s^2 = 0.0033839

And the estimator for the population deviation \sigma is given by :

\hat \sigma = \sqrt{s^2}= \sqrt{0.0033839}= 0.058172

7 0
4 years ago
The equinoxGroup of answer choicesis when the subsolar point is at one of the tropics.is the longest day of the year at any give
Maurinko [17]

Answer:

c. has 12 hours of day and 12 hours of night for all locations

Step-by-step explanation:

The equinox is the time of the year marked by a nearly equal length of day and night. This word has a Latin root meaning which stands for equality, hence the word 'equinox'. It usually falls on March 21, and September 23 of every year. On these days the sun is above the equator.

The equinox which occurs around September happens in the Northern Hemisphere and is also known as the Fall or Autumnal equinox. Whereas, the equinox which occurs at the Southern Hemisphere is also known as the Spring or Vernal equinox. During an equinox, the tilt of the earth is perpendicular to the sun.

3 0
4 years ago
Part 1: Explain what the following variables represent and how changing each one affects the monthly payment amount: P, i, and t
Westkost [7]

Answer:

Part 1 and 2: P represents principle, or the original cost of the mortgage. i represents the annualinterest rate (r/n), and t represents time. When you change the time it affects monthlypayments because theres either more or less time to pay off the mortgage. Having a longertime to pay off means you'll have lower monthly payments. When the interest rateincreases, the monthly payment increases. This is because the higher the interest rate, themore interest you're paying. Changing the principle means you either have more or lessmoney to pay off.P2: Increasing i will increase the total cost since more interest will be charged. Increasingtime means there's more periods for interest to gather so the total cost will increase.Shortening the time will decrease the total cost because there will be less time for interestto accumulate.

5 0
3 years ago
What is the slope of the line y=35x+7 ?
Pani-rosa [81]

Answer:

Slope is 35

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
In its first year of business, Arlo’s Dry Cleaners had a closing balance of –$1,500. The second year it lost an additional $1,20
Alex

Answer:

-2700 dollars

Step-by-step explanation:

The first year we have a loss of 1500 dollars. On the balance sheet we write -1500, with the negative indicating loss. Some accounting practices will use parenthesis to mean loss, so you might see it as (1500). But in this problem, we'll use negative signs for loss.

The second year is loss of 1200. Add up the two losses (the positive versions of each) to get 1500+1200 = 2700. Then make the result negative. Taking one loss and adding more loss to it means your loss has gotten bigger. So that's why the closing balance at the end of year 2 is -2700 dollars, which is a loss of 2700 dollars.

4 0
3 years ago
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