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meriva
2 years ago
8

Its timed help me please

Mathematics
1 answer:
FromTheMoon [43]2 years ago
3 0
107

simplify or expand: 535/5

— 107 !!!!!!!!!! so b
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Suppose you have an experiment where you flip a coin three times. You then count the number of heads. a.)State the random variab
WITCHER [35]

Answer:

a) X=number of heads observed when flipped the coin 3 times

b) the probability distribution is

P(X=x) = 3/4 * (1/[(3-x)!*x!)])

or

P(X)=1/8 for x=0 and x=3 and P(X)=3/8 for x=1 and x=2

Step-by-step explanation:

the random variable will be X=number of heads observed when flipped the coin 3 times . Since the result from each flip is independent of the others , then X has a binomial probability distribution , such that

P(X=x)= n!/[(n-x)!*x!)*p^x * (1-p)^(n-x)

where

n= number of times the coin is flipped = 3

p= probability of getting heads in a flip of the coin = 1/2 (assuming that the coin is fair)

therefore

P(X=x)= 3!/[(3-x)!*x!)*(1/2)^(3-x) * (1/2)^x = 3!/[(3-x)!*x!) * (1/2)³ = 3/4 * (1/[(3-x)!*x!)])

P(X=x)= 3/4 * (1/[(3-x)!*x!)])   , for x=[0,1,2,3]

for x=0 and x=3 → P(X)=3/4 * (1/[3!*0!)]) = 1/8

for x=1 and x=2 → P(X)=3/4 * (1/[2!*1!)]) = 3/8

we can verify that is correct since the sum of all the probabilities from x=0 to x=3 is  1/8 +  3/8+ 3/8+ 1/8 = 1

8 0
3 years ago
Read 2 more answers
Please help, will mark brainliest<br><br>50 points
liraira [26]

Answer:

(-6,8)

Step-by-step explanation:

2x + 9y = 60

-9x + y = 62 --> y = 9x + 62 --> 2x + 9(9x + 62) = 60 -->

2x+ 81x + 558 = 60 -->

83x + 558 = 60 -->

83x = -498 -->

x = -6 -->

y = 9(-6) + 62 -->

y = 8

3 0
3 years ago
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An office needs 300 envelopes. If there are 30 envelopes in each box, how many boxes should the office buy?
Mila [183]

Answer:

they should buy 10 boxes

Step-by-step explanation:

300/30 = 10

7 0
3 years ago
Read 2 more answers
HELP PLEASE ASAP<br><br><br> Solve for x in the diagram below
Leni [432]

Answer:

29

Step-by-step explanation:

(x+12) + 100 + x = 180

           2x + 112 = 180

Subtract 112 from both sides

                    2x = 58

Divide 2 from both sides

                      x = 29

3 0
3 years ago
Solve each equation for θ, where 0° &lt; θ &lt; 90°. Answer correct to the nearest minute.
Assoli18 [71]

Answer:

Below in bold.

Step-by-step explanation:

sin θ = 4 cos θ

Note that tan θ = sin θ / cos θ so we

Divide both sides by cosθ:

tan θ = 4

θ = 75.96

= 75 degrees 58 minutes.

5 0
2 years ago
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