Answer:
Step-by-step explanation:
Using the distance formula,

So the perimeter is 
Communitive Property of Addition
Answer:
Step-by-step explanation:
given that on a six-question multiple-choice test there are five possible answers for each question, of which one is correct and four are incorrect
By mere guessing probability for choosing correct answer = p = 0.2
also each question is independent of the other
Hence if X is the number of correct questions then
X is binomial with p = 0.2 and n = 6
a) being correct on three questions,
=
(b) being correct on four questions,
= 
(c) being correct on all six questions
=
Answer: The ratio 16:12 describes the ratio of the number of students who play the viola to the students who play the clarinet.
Step-by-step explanation:
Given : Number of students who play the clarinet= 12
Number of students who play the viola=16
We know that ratio of A to B is represented by A:B.
Since, the number '12' is representing " students who play the clarinet" and number '16' is representing " students who play the viola"
So , the ratio 16:12 describes the ratio of the number of students who play the viola to the students who play the clarinet.
Answer:
Step-by-step explanation:
The expected value is the probability of an event multiplied by the number of times the event happens. And if there is more than 1 event, the expected value is the sum of those.
There are 52 cards in a deck.
There are 12 face cards in a deck. (gain 10)
There are 4 ace in a deck. (gain 20)
Any other card is 36 of them. (lose 5)
The probability of face card is 12/52
The probability of ace is 4/52
The probability of any other card is 36/52
Thus the expected values is:
(12/52)(10) + (4/52)(20) + (36/52)(-5) = $0.38