Answer:
D (-1, 5)
Step-by-step explanation:
In reflection along the x-axis,
x-coordonate remains unchanged and y-coordinate gets multiplied by -1
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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Answer:
(3 x + 2) (5 x - 4)
Step-by-step explanation:
Factor the following:
15 x^2 - 2 x - 8
Factor the quadratic 15 x^2 - 2 x - 8. The coefficient of x^2 is 15 and the constant term is -8. The product of 15 and -8 is -120. The factors of -120 which sum to -2 are 10 and -12. So 15 x^2 - 2 x - 8 = 15 x^2 - 12 x + 10 x - 8 = 5 x (3 x + 2) - 4 (3 x + 2):
5 x (3 x + 2) - 4 (3 x + 2)
Factor 3 x + 2 from 5 x (3 x + 2) - 4 (3 x + 2):
Answer: (3 x + 2) (5 x - 4)
Line y = –x + 4 intersects the line y = 3x + 3., this is the right answer
Answer:
From given relation the value of β is 37.5°
Step-by-step explanation:
Given as :
α and β are two acute angles of right triangle
Acute angle have measure less than 90°
Now given as :
=
Or, =
SO, =
Or, 90° = +
or, 90° = + 4x
Or, 90° =
So, x = = 15°
∴ =
So, = sin
∴ The value of Ф_1 = = 37.5°
Similarly =
So ,The value of Ф_2 = = 52.5°
∵ β α
So, As 37.5°52.5°
∴ β = 37.5°
Hence From given relation the value of β is 37.5° Answer