Answer:
49 & 60
Step-by-step explanation:
294+66=362(miles) divided by 6( hours) = 60
Answer:
0.025
Step-by-step explanation:
Given that the arrival time of a professor to her office is uniformly distributed in the interval between 8 and 9 A.M.
If the professor did not arrive till 8.20 he will arrive between 8.21 and 8.40
Hence probability for arriving after 8.20 is 1/40
Prob he arrives at exactly 8.21 is 1/60
To find the probability that professor will arrive in the next minute given that she has not arrived by 8: 20.
= Prob that the professor arrives at 8.21/Prob he has not arrived by 8.20
This is conditional probability and hence
= 
Explanation
We must the tangent line at x = 3 of the function:

The tangent line is given by:

Where:
• m is the slope of the tangent line of f(x) at x = h,
,
• k = f(h) is the value of the function at x = h.
In this case, we have h = 3.
1) First, we compute the derivative of f(x):

2) By evaluating the result of f'(x) at x = h = 3, we get:

3) The value of k is:

4) Replacing the values of m, h and k in the general equation of the tangent line, we get:

Plotting the function f(x) and the tangent line we verify that our result is correct:
Answer
The equation of the tangent line to f(x) and x = 3 is:
Multiply -3/11 and -2/15 straight across
-3(-2) = 6
11(15) = 165
6/165 is your product, or 0.036 (rounded)
hope this helps
Answer:
9
Step-by-step explanation:
Let's first convert this to numbers. When a number is decreased by a certain amount, that is the same as saying that something is subtracted from it. Therefore:
a-7=2
Add 7 to both sides:
a-7+7=2+7
a=9
Hope this helps!