Answer:
The probability is 0.0428
Step-by-step explanation:
First, let's remember that the binomial distribution is given by the formula:
where k is the number of successes in n trials and p is the probability of success.
However, the problem tells us that when there isn't a number of trials fixed, we can use the geometric distribution and the formula for getting the first success on the xth trial becomes:

The problem asks us to find the probability of the first success on the 4th trial (given that the first subject to be a universal blood donor will be the fourth person selected)
Using this formula with the parameters given, we have:
p = 0.05
x = 4
Substituting these parameters in the formula and solving it, we get:

Therefore, the probability that the first subject to be a universal blood donor is the fourth person selected is 0.0428 or 4.28%
Answer:
46 cm
Step-by-step explanation:
Let p represent the length in cm of 1 bap'ai; let k represent the length in cm of 1 bok'ai. Then we have ...
12p +2k = 100
10p +10k = 100
Subtracting the second equation from 5 times the first, we get ...
5(12p +2k) -(10p +10k) = 5(100) -(100)
50p = 400
p = 8 . . . . cm
Then the second equation tells us ...
10(8) +10k = 100
10k = 20
k = 2 . . . . cm
Then 5p+3k = 5(8) +3(2) = 46 cm.
The distance 5 bap'ai and 3 bok'ai is 46 cm.
Answer:
9n÷7
Step-by-step explanation:
A quotient means a ratio or one quantity being divided by another, or in algebraic terms (a/b). In this case, the first quantity is "nine times a number" represented in terms of n as (n). The other quantity is just the number 7.
Dividing the 9 times n by 9 gives us the following:
9n÷7
<u><em>Hope this helps :></em></u>
Answer:
x=3/2y+3
Step-by-step explanation:
Let's solve for x.
2x−3y=6
Step 1: Add 3y to both sides.
2x−3y+3y=6+3y
2x=3y+6
Step 2: Divide both sides by 2.
2x2=3y+62
x=32y+3
Answer:
10x^2-11x-6
Step-by-step explanation:
To expand, we use the FOIL method. You do this by multiplying each number inside the parenthesis by the other numbers in the other set of the parenthesis. For example, on this problem, you would multiply 5x by 2x, and then 5x by -3.
Step by step, you would:
5x * 2x = 10x^2
5x * -3 = -15x
2 * 2x = 4x
2 * -3 = -6
In an equation, it would expand to 10x^2-15x+4x-6
To simplify, you add like terms (constants and those with the same variable). In this case, you would add together all the terms ending in x.
-15x+4x=-11x
Now, you have added like terms together, so your simplified answer is 10x^2-11x-6.