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sattari [20]
3 years ago
10

Please answer thank you

Mathematics
1 answer:
ziro4ka [17]3 years ago
3 0
Sorry thats a tough one
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Aron flips a penny 9 times. Which expression represents the probability of getting exactly 3 heads? P (k successes) = Subscript
Nimfa-mama [501]

The expression represents the probability of getting exactly 3 heads is \rm= ^9C_3 \times (0.5)^3\times (0.5)^{6}.

<h2>Given</h2>

Aron flips a penny 9 times.

We have to determine

Which expression represents the probability of getting exactly 3 heads?

<h3>What is binomial distribution?</h3>

The binomial distribution is determined as the probability of mass or discrete random variable which yields exactly some values.

The binomial probability formula shown has variables which represent:

\rm= ^nCr \times p^r\times (1-p)^{n-r}

Where n is the total number of trials (here, we flip penny 9 times, hence n = 9).

r is the number we want to find (here, we want the probability of 3 heads, so r = 3).

p is the probability of success (here, success means getting heads.

So, in a coin flip the probability of heads is always 1/2, so p = 1/2).

Therefore,

The expression represents the probability of getting exactly 3 heads is;

\rm= ^nCr \times p^r\times (1-p)^{n-r}\\\\\rm= ^9C3 \times (0.5)^3\times (1-0.5)^{9-3}\\\\= ^9C3 \times (0.5)^3\times (0.5)^{6}

Hence, the expression represents the probability of getting exactly 3 heads is \rm= ^9C_3 \times (0.5)^3\times (0.5)^{6}.

To know more about Binomial Distribution click the link given below.

brainly.com/question/7236644

4 0
3 years ago
A can of paint is 11 inches high and Has a diameter of 8 inches. what is the volume of the can in cubic inches?
tensa zangetsu [6.8K]
4^2 = 16

16 x 11 x 3.14 = 

V ≈ 552.92
8 0
4 years ago
Anthony tedesco sold his used mountain bike and accessories for $308. If he received six times as much money for the bike as he
kotegsom [21]
He received $1,848 dollars
4 0
4 years ago
Read 2 more answers
Frank has a sheet of paper which is 1/624 inch thick. If the sheet is folded in half, the total thickness will be 1/312 inch A s
netineya [11]

Answer:

The thickness of the sheet will be 16/39 inch after folded 8 times

Step-by-step explanation:

* Lets explain how to solve the problem

- Frank has a sheet of paper of 1/624 inch thick

- The sheet is folded in half, the total thickness is 1/312 inch

- The sheet folded in half again and the total thickness is 1/156 inch

- We need to know the thickness of the sheet after folded 8 times

∵ The 1st thickness is 1/624 inches

∵ The 2nd thickness is 1/312 inch ⇒ after 1st fold

∵ The 3rd thickness is 1/156 inch⇒ after 2nd fold

∵ 1/312 ÷ 1/624 = 2

∵ 1/156 ÷ 1/312 = 2

∴ There is a common ratio 2 between each two fold

∴ The thicknesses of the sheet after each fold formed a

   geometric series

∵ Any term of the geometric series is a_{n}=a(r)^{n-1}, where

  a is the first term, r is the ratio between each two consecutive

  terms and n is the position of the term

∵ a = 1/312 because it is the thickness of the 1st fold

∵ r = 2 , n = 8

∴ a_{8}=\frac{1}{312}(2)^{8-1}=\frac{16}{39}

∴ The thickness of the sheet will be 16/39 inch after fold 8 times

8 0
4 years ago
Read 2 more answers
Work on the screenshot
Marrrta [24]

Answer:

12 gallons

Step-by-step explanation:

If it takes 20 h for 5 gallons to be filled, it takes 4 h for 1 gallon to be filled. This is the ratio. You multiply 4 h by 12 to get 48 h, so you multiply 1 gallon by 12 as well. This is 12 gallons.

4 0
3 years ago
Read 2 more answers
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