The HCF of 12, 8 ,32 is?
1 answer:
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Answer:
Square.
Step-by-step explanation:
given J(-4,2) || K(0,3) || L(1,-1) || M(-3,-2)
given below the visual answer.
OR
you can find the distance of coordinate to coordinate:
Distance of JK
√(-4-0)² + (2-3)²
√17
Distance of KL
√(0-1)²+(3--1)²
√17
Distance of LM
√(1--3)²+(-1--2)²
√17
Distance of MJ
√(-3--4)²+(-2-2)²
√17
All sides are similar of √17 , so its a square.
Answer:
A university found that 30% of its students withdraw without completing the introductory statistics course. Assume that 20 students registered for the course.
a. Compute the probability that 2 or fewer will withdraw (to 4 decimals).
= 0.0355
b. Compute the probability that exactly 4 will withdraw (to 4 decimals).
= 0.1304
c. Compute the probability that more than 3 will withdraw (to 4 decimals).
= 0.8929
d. Compute the expected number of withdrawals.
= 6
Step-by-step explanation:
This is a binomial problem and the formula for binomial is:
a) Compute the probability that 2 or fewer will withdraw
First we need to determine, given 2 students from the 20. Which is the probability of those 2 to withdraw and all others to complete the course. This is given by:
Finally, the probability that 2 or fewer students will withdraw is
b) Compute the probability that exactly 4 will withdraw.
c) Compute the probability that more than 3 will withdraw
First we will compute the probability that exactly 3 students withdraw, which is given by
Then, using a) we have that the probability that 3 or fewer students withdraw is 0.0355+0.0716=0.1071. Therefore the probability that more than 3 will withdraw is 1 - 0.1071=0.8929
d) Compute the expected number of withdrawals.
E(X) = 3/10 * 20 = 6
Expected number of withdrawals is the 30% of 20 which is 6.