Answer:
The probability is 0.28157
Step-by-step explanation:
The number of answers are 40 answers ( 10 questions and 4 answer each)
The number of correct answers is only 10
So the probability that he answers 2 exactly out of 10 means he correctly selected 2 answers
The probability will be;
10 C 2/ 40 C 10
This mean out of the total 10 correct, he selects 2 and out of the total 40 , he selects 10
The probability of selecting a correct answer is;
1/4 while the probability of selecting a wrong one is 3/4
So probability of selecting 2 correct out of a total 10 will be
10 C 2 (1/4)^2 (3/4)^8
= 0.28157
9514 1404 393
Answer:
The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).
Step-by-step explanation:
The y-intercept is the function value when x=0. The table shows f(0) = 1. The equation shows g(0) = 1, so the y-intercepts are equal.
__
The value of f(x) changes by (11 -1) = 10 when the value of x changes by (2 -0) = 2. That means the slope of f(x) is 10/2 = 5.
The slope of g(x) is the x-coefficient, 4. We note that 5 > 4, so the slope of f(x) is greater than for g(x).
The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).
Answer:
The correct option is c.
Step-by-step explanation:
The percentage probability distribution is:
Size (X) Percentage
2 39.9
3 24.4
4 20.1
5 10.8
6 3.3
7 1.5
Total 100.0
Compute the probability that the size of the family is 4 or more as follows:
P (X ≥ 4) = P (X = 4) + P (X = 5) + P (X = 6) + P (X = 7)
= 0.201 + 0.108 + 0.033 + 0.015
= 0.357
Thus, the probability that the size of the family is 4 or more is 0.357.
The correct option is c.
Answer:
22
Step-by-step explanation:
8={1, 2, 4, 8}
12={1, 2, 3, 4, 6, 12}
GCF={4}
3(4)+10
=12+10=22