Average speed
Average speed between the checkpoints
distance between the checkpoints
divided by
time between the checkpoints.
Distance between the checkpoints =
(mileage at B) minus (mileage at A)
=(208)-(120) = 88 miles .
Time between the checkpoints =
time at - time at A
=(3:00 PM) - (1:00 PM) = 2 hours .
Average speed between the checkpoints =
(88 miles) / (2 hours)
=44 miles per hour .
<span>B. Square the number of the term, n</span>
Given:
The table of values for the function f(x).
To find:
The values 
and 
.
Solution:
From the given table, it is clear that the function f(x) is defined as:
We know that if (a,b) is in the function f(x), then (b,a) must be in the function 
. So, the inverse function is defined as:
And,
...(i)
Using (i), we get
Now,
Therefore, the required values are and .
To solve this problem, we need to use the Pythagorean Theorem, which states that a^2 + b^2 must equal c^2. "a" is the length of one of the legs (shorter sides of the triangle) and "b" is the length of the other leg. "c" is the length of the hypotenuse.
a = y = 36.25cm
b = x = 20.93cm
a^2 + b^2 = c^2
(36.25)^2 + (20.93)^2 = c^2
1314.0625 + 438.0649 = c^2
√1752.1274 = √c^2
c = 41.8584209 ≈ 41.86
So your final answer is...
The length of the hypotenuse is about 41.86 cm.
Remember that, for independent events, the probability that both occurr is the product of the individual probabilities.
a) Probability of being contacted: 78% = 0.78
Probaility of refusing: 1 - 22% = 1 -0.22 = 0.78
Combined probability: 0.78*0.78 = 0.6084
b) The probability of failing to contact or making contact and not geeting them to agree 1 - the probability of contacting and getting them to agree.
The probabilityof contacting and getting them to agree is 0.78*0.22 = 0.1716
The the answer to this question is 1 - 0.1716 = 0.8284
