Patrick drives from p to q at an average speed of 40mph.
1 answer:
The distance in miles from P to Q is 12 miles
<h3>Distances and speed</h3>Let the distance from P to Q be "d"
Since the formula for calculating speed is expressed as:
- s =d/t
For the distance of P to Q
40 = d/t
d = 40t
If he drives back at an average speed of 45mph and 2 mintes less, then;
45 = d/t - 0.033
d = 45 (t - 0.033)
Equating both distances
40t = 45(t - 0.033)
40t = 45t - 1.485
-5t = -1.485
t = 0.297
Get the distance from P to Q:
d = 40(0.297)
d = 11.88 miles
Hence the distance in miles from P to Q is 12 miles
Learn more on speed and distance here: brainly.com/question/4931057
You might be interested in
Using the binomial distribution, it is found that there is a:
- 0.0036 = 0.36% probability that both are allergic to pollen.
- 0.1164 = 11.64% probability that at least one is allergic to pollen.
The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
Researching the problem on the internet, it is found that:
- 6% of the population is allergic to pollen, hence p = 0.06.
- Two people are chosen at random, hence n = 2.
The probability that both are allergic is P(X = 2), hence:
P(X = 2) = 0.06^2 = 0.0036.
0.0036 = 0.36% probability that both are allergic to pollen.
The probability of at least one is:
P(X >= 1) = 1 - P(X = 0) = 1 - 0.94^2 = 1 - 0.8836 = 0.1164.
0.1164 = 11.64% probability that at least one is allergic to pollen.
More can be learned about the binomial distribution at brainly.com/question/24863377