The sum of the measures of two alternate angles of two parallel lines is 210°. Find the two angles. (they are two answers) (one
1 answer:
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Answer:
Step-by-step explanation:
Given that your friend tossed a fair coin when you weren’t around.
Let A be the event that she said the outcome is head
B1 = Event she lied and B2 = Event she did not lie
P(AB1) =
P(AB2) =
Required probability = P(B1/A)=
Answer:
m = 10 , n = 5
Step-by-step explanation:
using the cosine and tangent ratio in the right triangle and the exact values
cos45° = and tan45° = 1 , then
cos45° = =
=
( cross- multiply )
m = 5 ×
= 5 × 2 = 10
-----------------------------------------
tan45° = =
= 1 , then
n = 5
Answer:
C = 75 in
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Assume that the height of all people follows a normal distribution with a mean of 69 in and a standard deviation of 2.9 in.
This means that
Calculate the cut-off height (C) that ensures only people within the top 2.5% height bracket are allowed into the team.
This is the 100 - 2.5 = 97.5th percentile, which is X when Z has a pvalue of 0.975, so X when Z = 1.96.
Rounded to the nearest inch,
C = 75 in