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Bezzdna [24]
3 years ago
8

Tommy has a stack of 8 pancakes. Each pancake has a radius of 9

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
3 0

Answer:

254.47 cm^2

Step-by-step explanation:

First you have to know the formula for the area of a circle which is:

<h2>A=\pi r^2</h2>

In the word problem it gives us the radius of a pancake which is 9 cm, so we just need to plug it into<em> r </em>in our formula:

<h2>A=\pi r^2</h2><h2>A=\pi (9)^2</h2>

A ≈ 254.47 cm^2

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4x+y=10 ( ?,-6) <br><br> Find the missing value. Show all work.
ivann1987 [24]

Answer:

(4 , -6) x = 4.

Step-by-step explanation:

Note that in a pair under ( X , Y) always consists of X as it's 1st element and Y as it's second element.

so now we know that ( ? , -6) has an X value which is unknown.

inorder to find X you'll simply need to use the Y value you're given which is Y = -6 from ( ? , -6)

now plot the y value into the equation

4X + Y = 10 , Y = -6

4X + (-6) = 10

4X + - 6 = 10 ...... we know that A + - B = A - B

4X - 6 = 10

now take -6 to the right side

when -6 is taken to the right side, it changes to +6

and so ..

4X = 10 + 6

4X = 16

now divide both sides by 4 to find X

4X / 4 = 16 / 4

4 the coefficient of X which is 4 cancels with out denominator which is now 4

X = 16 / 4

16 ÷ 4 = 4.

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2 years ago
Solve: 8x - 14 = 10 - 4x
Stels [109]

Answer:

X=2

Step-by-step explanation:

8 0
2 years ago
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A sample of 10 adult elephants had an average weight of 12,556 pounds. The standard deviation
kirill [66]

Answer:

The 99% confidence interval of the population mean for the weights of adult elephants is between 12,475 pounds and 12,637 pounds.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 10 - 1 = 9

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 3.25

The margin of error is:

M = T*s = 3.25*25 = 81

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 12,556 - 81 = 12,475 pounds

The upper end of the interval is the sample mean added to M. So it is 12,556 + 81 = 12,637 pounds.

The 99% confidence interval of the population mean for the weights of adult elephants is between 12,475 pounds and 12,637 pounds.

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2 years ago
Solve for x: |2x + 12| = 18
Mashcka [7]
2x + 12 = 18
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