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fgiga [73]
3 years ago
15

A cylinder and a cone are shown below.

Mathematics
1 answer:
Veronika [31]3 years ago
3 0

Answer:

36 in³

Step-by-step explanation:

Volume of cylinder = pi×r²×h

Volume of cone = ⅓×pi×r²×h

For same r and h,

Volume of cone is ⅓ of the Volume of cylinder

⅓ × 108 = 36

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What is the constant proportionality of y=32x-4
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32 is the constant because it doesn’t have a letter
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you are rolling a 10-sided die with sides numbered 1-10. you keep rolling the die until you roll a prime number and then stop. l
evablogger [386]

The formula for E(x) would be SUM[ X(n)P(n)] from n = 1 to n = infinity until we get the prime number

In the given problem, a 10-sided die with 1-10 numbers is rolled until we get a prime number

Prime numbers between 1-10 = 2,3,5,7 (4 prime numbers)

Non - prime numbers = 1,4,6,8,9,10( 6 non-prime number)

Let X be the number of times the die is rolled

The probability of getting a prime =

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Now, the value of

E(X)=∑x.P(x) [ x-> {1, infinity}]

= P(1)X(1) +P(2)X(2)+P(3)X(3)+P(4)X(4)........+ P(n)X(n)

= 1.\frac{4}{10} + 2. \frac{6}{10}.\frac{4}{10} + 3.\frac{6}{10}.\frac{6}{10}\frac{4}{10} + 4. \frac{6}{10}.\frac{6}{10}.\frac{6}{10}.\frac{4}{10}.......

Hence, this is the value of E(x)

To learn more about Prime number, here

brainly.com/question/9315685

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4 0
2 years ago
Do the product 40x500 and 40x600 have the same number of zeros
VARVARA [1.3K]

No they do not have the same number of zeroes

Although the 2 products do seem like they might have the same number of zeroes, 40 x 500 and 40 x 600

both have 3 zeroes before multiplying

if we take the first 2 digits of the 2 numbers being multiplied to get an idea of the answer

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then theres an extra zero added

but if we take 40 x 600 - 4 x 6 = 24

no extra zeroes added to this


so if we finally look at the answers

40 x 500 = 20 000

40 x 600 = 24 000

20000 has 4 zeroes and 24000 has 3 zeroes


so the answer is no they dont have the same number of zeroes

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Answer:

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)) i think its 7/2!

Step-by-step explanation:

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