Answer:
B) .35
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean 
and standard deviation 
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation 
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem:
Then
So the correct answer is:
B) .35
Answer:
0.7 ; 0.65 ; 0.115
Step-by-step explanation:
Step-by-step explanation:
P(A) = 0.5 ; P(B) = 0.3
P(not successful) = P(B') = 1 - 0.3 = 0.7 ; P(A') = 1 - 0.5 = 0.5
1.)
Both events are independent events, hence the outcome of one does not depend on the other. That is the failure of the Asian project has nothing to do with the European project.
Probability that European project isn't successful;
P(B') = 1 - P(B) = 1 - 0.3 = 0.7
2.)
Probability that atleast one of the 2 projects is successful :
P(AUB) = P(A) + P(B) - P(AnB)
P(AnB) = P(A) * P(B) = 0.5 * 0.3 = 0.15
P(AUB) = 0.5 + 0.3 - 0.15 = 0.65
3.)
Probability that only the Asian project is successful, given that atleast one of the two projects is successful :
[P(A) - P(AnB)] ÷ P(AuB)
[0.5 * 0.15] ÷ 0.65
= 0.075 ÷ 0.65
= 0.1153846
= 0.115
Answer: C (AngleMRN and AngleNRO)
Step-by-step explanation:
A linear pair of angles is formed when two lines intersect. Two angles are linear if they are adjacent angles (angles next to each other) formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.
AngleMRN and AngleNRO together is 180 degrees
I'm not very good at explaining but hope this helps ! :)
Let
3x----> angle exterior 1
4x----> angle exterior 2
5x----> angle exterior 3
we know that
The exterior angles of any polygon add up to 360 degrees
so
3x+4x+5x=360-------> 12x=360----------> x=30°
The largest of exterior angles is equal to the smallest of interior angles
so
the largest of exterior angles is 5x------> 5*30=150°
the smallest of interior angles is 180°-150°=30°
therefore
the answer is
the smallest of interior angle measure 30 degrees
