Answer:
Step-by-step explanation:
Let n be a random variable that represents the first Jonathan apple chosen at random that has bitter pit.
a) P(X = n) = q(n-1)p, where q = 1 - p.
From the information given, probability if success, p = 12.6/100 = 0.126
b) for n = 3, the probability value from the geometric probability distribution calculator is
P(n = 3) = 0.096
For n = 5, the probability value from the geometric probability distribution calculator is
P(n = 5) = 0.074
For n = 12, the probability value from the geometric probability distribution calculator is
P(n = 12) = 0.8
c) For n ≥ 5, the probability value from the geometric probability distribution calculator is
P(n ≥ 5) = 0.58
d) the expected number of apples that must be examined to find the first one with bitter pit is the mean.
Mean = 1/p
Mean = 1/0.126 = 7.9
Approximately 8 apples
For each time period, each time "t" increases by one, the population will be multiplied by 4.
The correct answer is A!
A. 1/2 is equal to .5 so multiply 2,000 by .5 and you’ll get $1000. She spends $900 on rent. Since $900 is less than $1000 she is not spending more than half of her income on rent. There for this statement is False
B. If you do 2,000 multipled by .15 (which equals 15%) then you’ll get $300 and that’s how much she spends on savings. So this statement is true.
C. 1/4 = .25 so if you do 2,000 multiplied by .25 you’ll end up with $500. The total cost of utilities, cable and groceries ( 120 + 80 + 320 ) = $520 and since $500 is less than $520 then she is spending more than 1/4 of her income on those expenses. Which makes this statement true.
D. 14% is = .14 so if you do 2,000 multiplied by .14 you’ll get $280. The total of cell phone and other expenses ( 100 + 180 ) = $280 so that is true.
Answer:
Dividing a power of 4 by 4 is equivalent to ( reducing,) the exponent by (1).
Step-by-step explanation:
Let the power of 4 be 3
4 *4*4
We divide by 4
4*4*4/4 = 4*4 = 4^2
So we removed 1 power
Notice that 3-1 =2
Let 4 be raised to any power
4^a
We divide by 4
4^a/4 we remove 1 of the powers
we are left with
4^(a-1)
So we reduce the exponent by 1
