Answer:
a) p=0.2
b) probability of passing is 0.01696
.
c) The expected value of correct questions is 1.2
Step-by-step explanation:
a) Since each question has 5 options, all of them equally likely, and only one correct answer, then the probability of having a correct answer is 1/5 = 0.2.
b) Let X be the number of correct answers. We will model this situation by considering X as a binomial random variable with a success probability of p=0.2 and having n=6 samples. We have the following for k=0,1,2,3,4,5,6
.
Recall that
In this case, the student passes if X is at least four correct questions, then

c)The expected value of a binomial random variable with parameters n and p is
. IN our case, n=6 and p =0.2. Then the expected value of correct answers is 
Answer: 40 degrees
Step-by-step explanation:
Answer:
(x-1)^2 + y^2 = 25
Step-by-step explanation:
center C ( ( xA + xB)/2 , (yA+yB)/2 ) = ( 1 , 0)
AB = 10
radius = AB / 2 = 5
equation formula: (x - xC)^2 + (y-yC)^2 = radius^2
Hence:
(x-1)^2 + y^2 = 25
Answer:
4 batches:
cups
7 batches:
cups
Step-by-step explanation:
If he uses 2/3 cup of flour for <u>each</u> batch, then that is 2/3 four times, or 2/3 · 4.
× 
=
= 
If he makes three more, than that will be 7 batches in total. We can multiply 2/3 by 3 to find out how much will be needed for those extra three, then add that product to
.
× 
=
= 2
= 
Thus,
and
are the answers.
hope this helps!
/ also means division so the answer is 42.75