Answer:
k = 18
Step-by-step explanation:
Given that y varies inversely as x then the equation relating them is
y =
← k is the constant of variation
To find k use the condition y = 3 when x = 6, that is
3 =
( multiply both sides by 6 )
18 = k
The constant of variation is k = 18
Answer: (D) 16%
Step-by-step explanation:
Binomial probability formula :-
, where n is the sample size , p is population proportion and P(x) is the probability of getting success in x trial.
Given : The proportion of students in College are near-sighted : p= 0.28
Sample size : n= 20
Then, the the probability that in a randomly chosen group of 20 College students, exactly 4 are near-sighted is given by :_

Hence, the probability that in a randomly chosen group of 20 College students, exactly 4 are near-sighted is closest to 16%.
Answer:
D
Step-by-step explanation:
The opposite angles of the inscribed quadrilateral are supplementary
∠A + ∠C = 180 and ∠B + ∠D = 180
∠B + ∠D = 93 + x + 30 = x + 123, hence
x + 123 = 180 ( subtract 123 from both sides )
x = 57 → D