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3 years ago

How do you find the radius of a sphere when you know the area

1 answer:

8 0

Since the area formula is pi times radius to the second power, then just plug in the things you know. for ex: The area is 314, then work backwards and divide 314 by pi which equals 100 then unsquare it which is 10 because 10*10=100. So the radius is 10

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How can you calculate realative frequencies as percents?

Andreas93 [3]

Answer:

1. Count the total number of items. In this chart the total is

2. Divide the count (the frequency) by the total number.

3. Then, convert it to a percent.

6 0

3 years ago

Find the 52nd term of the following arithmetic sequence. 3, 9, 15, 21,

Alex Ar [27]

Answer:

309

Step-by-step explanation:

a = 3, d = 6, n 52

Nth term of an Arithmetic sequence is given as:

$t_n=a +(n-1)d \\ \therefore \: t_{52}=3 +(52-1) \times 6 \\ \therefore \: t_{52}=3 +51\times 6 \\ \therefore \: t_{52}=3 +306 \\ \huge \red{ \boxed{\therefore \: t_{52}=309 }}\\$

4 0

4 years ago

Alyssa and Gabriel play the following game. Alyssa rolls a die. If she rolls a 1, 2, or 3, Gabriel gives Alyssa $4. If Alyssa

yulyashka [42]

Answer:

Part a) Alyssa's expectation is equal to $0.33

Part b) Gabriel's expectation is equal to -$0.33

Step-by-step explanation:

we know that

The expected value is the probability of winning multiplied by the value you get when you win, plus the probability of losing multiplied by the value you get when you lose (which is negative as it is a loss).

Part a) Determine Alyssa's expectation

we know that

1) If Alyssa rolls a 1, 2, or 3, Gabriel gives Alyssa $4

The probability is 3/6

we have

$\frac{3}{6}(4)=\$2$

2) If Alyssa rolls a 4, or 5, Gabriel gives Alyssa $1

The probability is 2/6

we have

$\frac{2}{6}(1)=\$0.33$

3) if Alyssa rolls a 6, she gives Gabriel $12

The probability is 1/6

we have

$-\frac{1}{6}(12)=-\$2$ ---> is negative because is a loss

therefore

Alyssa's expectation is equal to

$\$2+\$0.33-\$2=\$0.33$

Part b) Determine Gabriel's expectation

we know that

1) If Alyssa rolls a 1, 2, or 3, Gabriel gives Alyssa $4

Is a loss for Gabriel

The probability is 3/6

we have

$-\frac{3}{6}(4)=-\$2$ ---> is negative because is a loss

2) If Alyssa rolls a 4, or 5, Gabriel gives Alyssa $1

Is a loss for Gabriel

The probability is 2/6

we have

$-\frac{2}{6}(1)=-\$0.33$ ---> is negative because is a loss

3) if Alyssa rolls a 6, she gives Gabriel $12

Is a win for Gabriel

The probability is 1/6

we have

$\frac{1}{6}(12)=\$2$

therefore

Gabriel's expectation is equal to

$-\$2-\$0.33+\$2=-\$0.33$

3 0

4 years ago

Choose the operation.

qwelly [4]

Answer:

Niagara Falls will have 35,000 years of formation then

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Niagara Falls was formed 10,000 years ago

Scientists predict it will last for another 25,000 years

2. How old will Niagara Falls be then?

10,000 + 25,000

35,000

Niagara Falls will have 35,000 years of formation then

3 0

3 years ago

Please help! I’ll give brainliest to whoever answers first :)

Tanya [424]

Answer:

Step-by-step explanation:

a triangles angles add up to 180

subtract 102 from 180

180-102

that’s 78

a and b are equal so divide 78 by 2 to get 39

a and b are both 39

6 0

3 years ago

Read 2 more answers