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Pie
3 years ago
8

Go to lesson page Problem If you flip three fair coins, what is the probability that you'll get a head on the first flip, a tail

on the second flip, and another head on the third flip?
Mathematics
1 answer:
ikadub [295]3 years ago
3 0
The probability of any particular sequence of N flips of a fair coin is 2^(-N).

Your probability of the given sequence of 3 coin flips is 
   2^-3 = 1/8
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Round 8.876 to the nearest whole number
Dmitriy789 [7]
8.876 to the nearest whole number
8.876 can be rounded to 9 because if we have a number greater than 5 we round to next number i.e is 9 but if we have a number smaller than 5 then we round to the previous number that is 8.

So your answer is 9
6 0
3 years ago
Read 2 more answers
A new movie is released each year for 8 years to go along with a popular book series. Each movie is 5 minutes longer than the la
Georgia [21]

Answer:

The total length of all 8 movies is 740 minutes

Step-by-step explanation:

* Lets revise the arithmetic series

- In the arithmetic series there is a constant difference between  

 each two consecutive numbers  

- Ex:  

# 2 , 5 , 8 , 11 , ………………………. (constant difference is 3)

# 5 , 10 , 15 , 20 , ………………………… (constant difference is 5)

# 12 , 10 , 8 , 6 , …………………………… (constant difference is -2)

* General term (nth term) of an Arithmetic series:  

- If the first term is a and the common diffidence is d, then

 U1 = a , U2 = a + d , U3 = a + 2d , U4 = a + 3d , U5 = a + 4d  

 So the nth term is Un = a + (n – 1)d, where n is the position of the

  number in the series

- The formula to find the sum of n terms is

  Sn = n/2 [a + l] , where l is the last term in the series

* Lets solve the problem

- A new movie is released each year for 8 years to go along with a

 popular book series

∴ n = 8

- Each movie is 5 minutes longer than the last

∴ d = 5

- The first movie is 75 minutes long

∴ a = 75

- To find the total length of all 8 movies find the sum of the 8 terms

∵ Un = a + (n - 1)d

∵ The last term l is u8

∵ a = 75 , d = 5 , n = 8

∴ l = 75 + (8 - 1)(5) = 75 + 7(5) = 75 + 35 = 110

∴ l = 110

∵ Sn = n/2 [a + l]

∴ S8 = 8/2 [75 + 110] = 4 [185] = 740 minutes

* The total length of all 8 movies is 740 minutes

7 0
3 years ago
Write a rule for the function:<br><br> 1 6<br> 2 11<br> 3 16<br> 4 21
PolarNik [594]

Answer:

4 21

Step-by-step explanation:

Its probably the answer you are looking for

8 0
1 year ago
Given the following functions f(x) and g(x), solve f[g(10)] and select the correct answer below: f(x) = 10x + 8 g(x) = x + 9 2,0
ikadub [295]
ANSWER
f(g(10)) = 198

EXPLANATION

The given functions are;

f(x) = 10x + 8
and

g(x) = x + 9


To find
f(g(10))
we need to find

f(g(x)) = f(x + 9)


f(g(x)) =10(x + 9) + 8



f(g(x)) =10x + 90 + 8


f(g(x)) =10x + 98



f(g(10)) = 10(10) + 98


f(g(10)) = 100 + 98


f(g(10)) = 198


The last option is the correct answer
7 0
3 years ago
Read 2 more answers
Find the value of 50 5x + 15<br>​
lukranit [14]
7
5 times 7
equals 35
then you add 15
and get 50
3 0
2 years ago
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