Answer:
11
Step-by-step explanation:
1.
Convert 22 miles to feet.
1 mile = 5280 feet
22 × 5280 = 116,160 feet
2.
To convert this you divide the speed by 60 since there's 60 minutes in an hour
125/60 = 2.0833....
Since you round the answer would be
2.1 miles per minute
I guess you're asking about the probability density for the random variable where are independent and identically distributed uniformly on the interval (0, 15). The PDF of e.g. is
It's easy to see that the support of is the same interval, (0, 15), since , and
• at most, if and , or vice versa, then
• at least, if , then
Compute the CDF of :
This probability corresponds to the integral of the joint density of over a subset of a square with side length 15 (see attached). Since are independent, their joint density is
The easiest way to compute this probability is by using the complementary region. The triangular corners are much easier to parameterize.
In the second integral, substitute and , so that
which is the same as the first integral. This tells us the joint density is symmetric over the two triangular regions.
Then the CDF is
We recover the PDF by differentiating with respect to .
Answer:
Step-by-step explanation:
<u>Factoring</u>
Binomial factoring is a common task when solving a great variety of math problems.
One of the best-known formula that helps us to factor a binomial is:
It can easily be identified because the expression is the difference between two perfect squares.
The expression
can be factored with the formula above since it's the difference of two squares:
The expression is factored as follows:
Answer: g(x)=12x^2+8
Step-by-step explanation:
original function f(x)=3x^2+2
Now to stretch function vertically and rename to g(x) we just multiply the function by 4;
g(x)=4(3x^2+2)=12x^2+8
Any questions feel free to ask. Thanks