Answer:
Last Option
Step-by-step explanation:
We have the Venn diagram that shows the probabilities of occurrence of 3 events A, B and C
In this case, since events A and B and B and C are non-disjoint events, then the probability of occurrence B is the sum of the probability that only B will occur plus the probability of occuring A and B plus the probability that B and C occur
This is:
.
Answer:
d. 3 to the power of 2 multiplied by 1 whole over 4, the whole squared. = 3 to the power of 4 multiplied by 1 squared over 4 squared. = 81 over 16.
Step-by-step explanation:
This is an exercise in PEMDAS, the order of arithmetic operation:
parentheses > exponents > multiplication and division > addition and subtraction.
[(3² × 5⁰)/4]² = [(9 × 1)/4]² = (9/4)² = 81/16
3⁴ × 1²/4² = 81 × 1/16 = 81/16
a. is wrong. 3¹ × 1²/4² = 3 × 1/16 = 3/16
b. is wrong. [(3² × 0)/4]² = [(9 × 0)/4]² = (0/4)² = 0² = 0
c. is wrong. [(3² × 0)/4]² = 0
Its the last choice there. Converting that to degrees you get the interval of 90<O<120, which is the only angle that lies in the quadrant in which cosine is negative, which is the second quadrant. Cosine is also negative in the third quadrant, but you don't have choices for the third quadrant.
Answer:
9.16 minutes per mile
At 10 miles, she is short of her intended rate
Step-by-step explanation:
2 hours means 60 * 2 = 120 minutes
Randy aims to run 13.1 miles in 120 minutes. So to get the rate [min/mi], we must divide total minutes by total miles:
120/13.1 = 9.16 minutes per mile
Moreover, she realized at 10 miles, she has taken 90 minutes. So her rate at that point [min/mi] is:
90/10 = 9 min/mi
Well, Randy is short of her intended rate
Answer:
probability that exactly 4 out of 9 questions are correct is 0.111
Step-by-step explanation:
Given data:
Test consist of multiple choice question which as 4 choices
Total number of answer randomly = 9
Probability of having 4 answer correctly is calculated as
p = probability of having particular question is answered in correct way
= 1/4 = 0.25
q = probability of having particular question is answered incorrectly
= 3/4 = 0.75
Binomial expansion is beneficial in various situations at which numerical variables are present that are countable or whole numbers
probability that exactly 4 out of 9 questions are correct
= 0.111
