Answer:
C) 13/4
Step-by-step explanation:
The slope can easily be identified if put into y=mx+b. The equation given to you is not in that format, however, we can rearrange a few variables to make it so.
As a reminder, y=mx+b, m is the slope and b is the y-intercept.
<u>Convert into y=mx+b form</u>
<u /><u />
Now, as you can see, 13/4 is in place of m, which means this is the slope.
Answer:
Step-by-step explanation:
Given the geometrical series
∑ [infinity] n=2 (− 2) n−1
I think the correct series should be the sum from n = 2 to ∞ of (-2)^n-1
So,
∑(-2)^(n-1)...... From n = 2 to ∞
A. The first four terms
When n = 2
(-2)^(2-1) = (-2)^1 = -2
When n = 3
(-2)^(3-1) = (-2)^2 = 4
When n = 4
(-2)^(4-1) = (-2)^3 = -8
When n = 5
(-2)^(5-1) = (-2)^4 = 16
B. The series will diverge since the common ratio is not between 0 and 1
So, let use limit test
Lim as n →∞ (-2)^(n-1) = (-2)^∞ = ±∞
Since the limit is infinite, then the series diverges
C. Since her series diverges we can find the sum, the sum is infinite, so it will sum up to ±∞
Answer:
The integral is the probability that the tire will fail in at some point between 26000 and 32000 miles.
Step-by-step explanation:
Consider the provided integral.
It is given that the tires are guaranteed to last for 30,000 miles, but some will fail sooner and some will last many more miles beyond 30,000.
And f(L) be the probability density function for the random variable L.
According to the probability density function (PDF):
The PDF is used to determine the likelihood of a random variable falling within a specified range of values.
Thus, the integral:
Gives us the integral is the probability that the tire will fail in at some point between 26000 and 32000 miles.
Answer:
Step-by-step explanation:
You use the Law of Cosines when you know all three sides and want to find the angles of a triangle.
For example, if you want to find ∠A, you use the formula
1. ∠ A
2. ∠B
3. ∠C