Answer:
0.74
Step-by-step explanation:
Probability that it will rain: 8%
Probability that the flight will be delayed: 14%
Probability that it rains and the fight is delayed: 4%
8%+14%+4% =26%
so the answer is 74% or 0.74
Answer:
See attachment.
Step-by-step explanation:
The given functions are:

and g(x)=-1
To find the x-value of the point of intersection of the two functions, we equate the two functions and solve for x.



The graph that shows the input value for which f(x)=g(x) is the graph which shows the point of intersection of f(x) and g(x) to be at x=-2.
Option B:
is the correct answer.
Explanation:
The given expression is 
Simplifying the expression, we have,

Factor the equations,
and
,we get,


Substituting these factored expressions in the above expression, we have,

Cancelling the common terms
and
, we get,

Thus, the expression equivalent to
is 
Hence, Option B is the correct answer.
Answer:
we need the data to answer the question
Answer:
37.23% probability that randomly selected homework will require between 8 and 12 minutes to grade
Step-by-step explanation:
Problems of normally distributed samples are 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.
In this problem, we have that:

What is the probability that randomly selected homework will require between 8 and 12 minutes to grade?
This is the pvalue of Z when X = 12 subtracted by the pvalue of Z when X = 8. So
X = 12



has a pvalue of 0.4052
X = 8



has a pvalue of 0.0329
0.4052 - 0.0329 = 0.3723
37.23% probability that randomly selected homework will require between 8 and 12 minutes to grade