Tangent, the acronym SOH-CAH-TOA can help, SOH= sine over hypotenuse, CAH= cosine over hypotenuse, and TOA= opposite over adjacent
Answer:
The probability of choosing a word randomly which is one of the words Joey learned = 1/4
Step-by-step explanation:
Total number of words to be memorized = 40 words
The number of words memorized by Joey = 10
Let E: Event of randomly choosing a word that Joey has learned.
P(E) = 

Hence, the probability of choosing a word randomly which is one of the words Joey learned = 1/4
Answer:
There is a 24.51% probability that he weight of a bag will be greater than the maximum allowable weight of 50 pounds.
Step-by-step explanation:
Problems of normally distributed samples 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

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. The sum of the probabilities is decimal 1. So 1-pvalue is the probability that the value of the measure is larger than X.
In this problem
Suppose that the weights of airline passenger bags are normally distributed with a mean of 47.88 pounds and a standard deviation of 3.09 pounds, so 
What is the probability that the weight of a bag will be greater than the maximum allowable weight of 50 pounds?
That is 
So



has a pvalue of 0.7549.
This means that
.
We also have that


There is a 24.51% probability that he weight of a bag will be greater than the maximum allowable weight of 50 pounds.
Answer:
$140
Step-by-step explanation:
2 diveded by 40 is 20. 20 multiplied by 7 is 140.