Answer: 0.05
Step-by-step explanation:
Let M = Event of getting an A in Marketing class.
S = Event of getting an A in Spanish class,
i.e. P(M) = 0.80 , P(S) = 0.60 and P(M∩S)=0.45
Required probability = P(neither M nor S)
= P(M'∩S')
= P(M∪S)' [∵P(A'∩B')=P(A∪B)']
=1- P(M∪S) [∵P(A')=1-P(A)]
= 1- (P(M)+P(S)- P(M∩S)) [∵P(A∪B)=P(A)+P(B)-P(A∩B)]
= 1- (0.80+0.60-0.45)
= 1- 0.95
= 0.05
hence, the probability that Helen does not get an A in either class= 0.05
I'm sorry I'm too lazy to read all of that. However, I did get the main point. The river was going at 3 mph. Since he wanted to travel 10 miles upstream and downstream, you would have to subtract 20 by 3. This would mean he was going at a speed of 17 mph.
we have

Adds
both sides


square root both sides

therefore
<u>the answer is</u>
the resulting equation is 
To express a function of the form

in vertex form

where (h,k) is the vertex of the parabola, we need to find the vertex first.
To find the vertex we are going to use the vertex formula:

, and

will be the function evaluated at

.
We can infer from our function that

and

. So lets find

:




Now that we have

, we can evaluate the function at 1 to find

:




We have the vertex (1,3) of our parabola, so we can use its vertex form:



We can conclude that the vertex for of our parabola is <span>f(x) = (x + 1)2 + 3.</span>
Answer:
The approximate loudness of a rock concert with a sound intensity of
is 110 Db.
Step-by-step explanation:
The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is :

We are supposed to find What is the approximate loudness of a rock concert with a sound intensity of 
So, 
Substitute the values in the formula :


L=110 Db
So, the approximate loudness of a rock concert with a sound intensity of
is 110 Db.