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Alex Ar [27]
3 years ago
14

Which number produces a rational number when added to 0.5?

Mathematics
1 answer:
Alex Ar [27]3 years ago
7 0

Just duplicate the number and you get a whole number which is 1

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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
2 years ago
Read 2 more answers
Find the slope of two points: (-2,-1) and (4,3)
marta [7]

Answer: m = 2/3

\frac{-1-3}{-2-4} = \frac{-4}{-6} = \frac{2}{3}

6 0
3 years ago
The difference of three times a number and six is nine
Artyom0805 [142]

Answer:

3x-6=9 is your equation x=5

Step-by-step explanation:

Step 1: Add 6 to both sides

Step 2: Divide both sides by 3

6 0
3 years ago
Read 2 more answers
A 13?-foot board is cut into two pieces. The longer piece is 7.5 feet longer than the shorter piece. What is the length of each?
chubhunter [2.5K]

Answer:

The smaller board would be 2.75 feet and the longer one would be 10.25 feet.

Step-by-step explanation:

In order to find this, assume the shorter board is equal to x. Next, we would know that the longer board would be equal to x + 7.5. Using these two assumptions, we can add the lengths together, set equal to 13 and then solve for x.

x + (x + 7.5) = 13

2x + 7.5 = 13

2x = 5.5

x = 2.75

Now that we have the length of the shorter board, we can add 7.5 to it to get the larger one.

2.75 + 7.5 = 10.25

6 0
3 years ago
I need help please! It’s due tonight and I don’t know.
maria [59]

Answer:

i think the first question is yes and the second one is no

Step-by-step explanation:

8 0
2 years ago
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