Answer:
=3. The remainder of given polynomial is 3.
Let us take polynomial f(x) as dividend and linear expression as divisor.
The linear expression should be in the form of x-a.
Then, the remainder value of polynomial will become f(a).
So, substitute the c value in the polynomial expression and evaluate to get the remainder value.
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)=![C_{n,x} p^{x}(1-p)^{n-x}](https://tex.z-dn.net/?f=C_%7Bn%2Cx%7D%20p%5E%7Bx%7D%281-p%29%5E%7Bn-x%7D)
percentage of defective rejuvendated mitochondria=1%
p=0.01
Sample size=18
n=18
a) No samples are mutated
This means P(X=0)=![C_{18,0}(0.01)^{0} (0.99)^{18}](https://tex.z-dn.net/?f=C_%7B18%2C0%7D%280.01%29%5E%7B0%7D%20%280.99%29%5E%7B18%7D)
=0.83
b) At most one sample is mutated.
P(X<=1)=P(X=0)+P(X=1)
so,
P(X=0)=![C_{18,0} (0.01)^{0} (0.99)^{18}](https://tex.z-dn.net/?f=C_%7B18%2C0%7D%20%280.01%29%5E%7B0%7D%20%20%280.99%29%5E%7B18%7D)
=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.
Learn more about probability at brainly.com/question/24756209
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Answer:
2 acute angles and 2 obtuse angles (D)
2 pairs of parallel sides
Split this figure into 3 triangles and 1 rectangle. Then calculate area of each shape.
1/2(2)(7) = 71/2(7)(3) = 10.51/2(3)(4) = 63 x 4 = 12
area of this polygon:7 + 10.5 + 6 + 12 = 35.5
answer35.5 units²
Answer:
C
Step-by-step explanation:
If the cost is represented by n, why would you subtract the cost of the notebook by 0.78 while multiping it witht the cost?