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vodomira [7]
3 years ago
14

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!

Mathematics
1 answer:
motikmotik3 years ago
4 0

<u>Given that</u> :

Diameter (d) = 18 cm

Pi (π) = 3.14

Radius (r) = d/2 = 18/2 = 9 cm

We know that volume of sphere is

Volume of Sphere = 4/3πr³

Volume = 4/3 × 3.14 × (9)³

Volume = 4/3 × 3.14 × 729

Volume = 4 × 3.14 × 243

Volume = 12.56 × 243

Volume = 3052.08

<u>Hence, the volume is 3052.08 cm³</u>

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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 =

P(Prime) = \frac{4}{10}

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

#SPJ4

4 0
2 years ago
What is 6 5/3 x 5 7/8 &lt; 42
Eddi Din [679]

Answer:

The left side 45.041¯645.0416‾ is not less than the right side 42 which means that the given statement is false.

3 0
3 years ago
In 2002, Tiger Woods won the masters tournament. His scores were -4, -3, -2, and -1. What was his final score?
puteri [66]

Answer:

-10

Step-by-step explanation:

-4 + -3 = -7

-7 + -2 = -9

-9 + -1 = -10

3 0
2 years ago
Sybil has 1/2 of a pizza left over. She wants to share the pizza with 3 of her friends. What fraction of the original pizza will
Helen [10]

Answer: \frac{1}{2\times3}=\frac{1}{6}\text{ of the original pizza.}


Step-by-step explanation:

Given: Sybil has 1/2 of a pizza left over.

If she share the pizza with 3 of her friends, to find the fraction of the original pizza will Sybil and her 3 friends each receive, we need to divide 1/2 by 3 we get

The  fraction of the original pizza will Sybil and her 3 friends each receive

=\frac{\frac{1}{2}}{3}=\frac{1}{2\times3}=\frac{1}{6}\text{ of the original pizza.}



6 0
3 years ago
Read 2 more answers
The perimeter of a rectangle room is 250 feet the length is 35 feet less than three times the width what is the length of the ro
raketka [301]
Perimeter of rectangle:
P = 2(L + W)
P = 250 (given)
L = 3W - 35 (given)

250 = 2(3W -35 + W) ↔ 125 = 4W - 35

4W = 125 +35 =160 And W = 40 ft
And L = 3x40 - 35 = 85 ft


6 0
3 years ago
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