Answer:
y=0.
y + 6 = -4(X - 1.5)
y+6 = -4x+6
y = mx+b
y=4x
There isn't a b, which is the y intercept, so the y int would be 0
The cotangent function is defined as the length of the side adjacent over the length of the side opposite.
Step-by-step explanation:
The sine of an angle is defined as the length of the side opposite over the length of the hypotenuse.
The cosine of an angle is defined as the length of the side adjacent over the length of the hypotenuse.
The tangent of an angle is defined as the length of the side opposite over the length of the side adjacent.
The cotangent function is defined as the length of the side adjacent over the length of the side opposite.
The secant of an angle is defined as the length of the hypotenuse over the length of the side adjacent.
The cosecant of an angle is defined as the length of the hypotenuse over the length of the side opposite.
Answer:
The probability that a randomly selected call time will be less than 30 seconds is 0.7443.
Step-by-step explanation:
We are given that the caller times at a customer service center has an exponential distribution with an average of 22 seconds.
Let X = caller times at a customer service center
The probability distribution (pdf) of the exponential distribution is given by;
Here, 
= exponential parameter
Now, the mean of the exponential distribution is given by;
Mean = 
So, 
⇒ 
SO, X ~ Exp()
To find the given probability we will use cumulative distribution function (cdf) of the exponential distribution, i.e;
; x > 0
Now, the probability that a randomly selected call time will be less than 30 seconds is given by = P(X < 30 seconds)
P(X < 30) = 
= 1 - 0.2557
= 0.7443
<h3>
Answer: D) common ratio</h3>
Explanation:
The four points on this curve are
(1, 3)
, (2, 6), (3, 12)
, (4, 24)
The equation of the curve that goes through all the points mentioned is
y = 3*2^(x-1) which is equivalent to y = 1.5*2^x
Both equations are exponential equations.
Sequences of the form
a(n) = a*(r)^(n-1)
are geometric sequences with common ratio r. In this case, r = 2.
Note how the jump from 3 to 6 is "times 2", so is from 6 to 12, and from 12 to 24. We multiply each term by 2 to get the next one.
