y=10x+5 because 10 is ur constant and 5 is like ur y-intercept. So y=10x+5 is your answer
Just you point slope formula x2-x1 over y2-y1 so here I'd would be 1-(-2) over 0-3 giving you a 3 over -3 or -1 for the slope
Answer:
2) 360 square inches
Step-by-step explanation:
First of all we have to verify that the base triangle is a right triangle
For this we use Pythagoras
h² = l1² + l2²
13² = 12² + 5²
169 = 144 + 25
169 = 169
Equality is fulfilled by what is a right triangle
Now we need to calculate the area of the triangle
a = (12 in * 5 in) / 2
a = 60in² / 2
a = 30in²
Now we have to calculate the 3 areas of the rectangles
a1 = 10in * 13 in
a1 = 130in²
a2 = 10 in * 12 in
a2 = 120in²
a3 = 10 in * 5 in
a3 = 50in²
Now we must add all the calculated areas and the triangle 2 times
a1 + a2 + a3 + 2a =
130in² + 120in² + 50in² + 2 * 30in²
360in²
The surface area of the prism is 360in²
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
Answer:
itself and numbers divisible by 7