Probability that no samples are mutated is 0.83, probability that at most one sample is mutated is 0.9812 and probability that more than half the samples are mutated is 0.
Given percentage of rejuvenated mitochondria defective is 1%, and sample size is 18.
Binomial distribution is the probability of exactly x successes on n repeated trials and X can have two outcomes.
P(X=x)=
percentage of defective rejuvendated mitochondria=1%
p=0.01
Sample size=18
n=18
a) No samples are mutated
This means P(X=0)=
=0.83
b) At most one sample is mutated.
P(X<=1)=P(X=0)+P(X=1)
so,
P(X=0)=
=0.83
P(X=1)=
=
=0.1512
P(X<=1)=0.83+0.1512
=0.9812
c) More than half the samples are mutated.
P(X>9)=P(X=10)+P(X=11)+P(X=12)+P(X=13)+P(X=14)+P(X=15)+P(X=16)+P(X=17)+P(X=18)
Using two decimals digits precision all will be 0.
Hence Probability that no samples are mutated is 0.83, probability that at most one sample is mutated is 0.9812 and probability that more than half the samples are mutated is 0.
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Width: W
Length: L = W + 8
Perimeter = 2W + 2L = 2(W) + 2(W+8) = 184 (ft)
Solving for W: 2W + 2W + 16 = 184 (ft)
4W = 168 ft, and so W = 42 ft.
The length, L, is (42 + 8) ft = 50 ft. (answer)
Answer:
[see below]
Step-by-step explanation:
- All natural numbers, whole numbers, integers, fractions (with integers), and numbers with terminating or repeating decimals are rational.
- Irrational numbers cannot be written as fractions with integers. This includes non-germinating and non-repeating decimals.
Rational Numbers:
- 0.8
- 64
- 0 (it can be written as
) - 32
- -19
- -100
- 3
- 7
- 175
- 2
- 6
- 12.67
- 1121
- 12
- 5
- 3/7
Irrational Numbers:
Hope this helps.
Here is the solution to the given problem above.
Given that for an 8 pound bag of tomatoes costs $5.60, we would want to know how much will it be for 11 pounds. First, we should know how much does it cost per pound. So 5.60 divided by 8 is 0.7. So per pound of tomatoes costs $0.7. Now to know how much for 11 pounds, we multiply 0.7 by 11 and we get $7.70. The correct answer therefore would be option C. $7.70. Hope this answer helps.
A) intercepts: zero profit; maximum: maximum profit. increasing: x < 4; decreasing x > 4
B) average slope: ≈50, about $50 increased profit for each $1 increase in price.