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:
1. 18.84 in
2. 56.52 cm
Step-by-step explanation:
The circumference of a circle is the distance around the circle. Its found using the formula C = πd or C=2πr. The variable d represents the diameter or the distance from one edge of the circle to the other through the cent. The variable r represents the radius of a circle or the distance from one edge to the center. Use the formula by substituting a diameter or radius then simplify.
1. C = πd = π(6) = 3.14(6) = 18.84 in
2. C = 2πr = 2(3.14)(9) = 56.52 cm
Answer:
x = -2 or -9
Step-by-step explanation:
You want the values of x such that the line defined by the two points (2x+3, x+2) and (0, 2) is perpendicular to the line defined by the two points (x+2, -3-3x) and (8, -1).
<h3>Slope</h3>
The slope of a line is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
Using the formula, the slopes of the two lines are ...
m1 = (2 -(x+2))/(0 -(2x+3)) = (-x)/(-2x-3) = x/(2x +3)
and
m2 = (-1 -(-3-3x))/(8 -(x+2)) = (2+3x)/(6 -x)
<h3>Perpendicular lines</h3>
The slopes of perpendicular lines have product of -1:
<h3>Solutions</h3>
The values of x that satisfy this equation are x = -2 and x = -9. The attached graphs show the lines for each of these cases.
In the question, we are given with speed of a car and the distance it have to travel.
Given:
- Speed of the car = 40 km/hr.
- Distance to travel = 60 km
So, we can say that in 1 hour, the car can travel 40 km. And we have to find the time taken by the car to travel 60 km.
This can be easily done by using the Speed, Distance and Time formula which says:
So, let's solve by using this formula.
⇛ s = v × t
⇛ 60 km = 40 km/hr × t
⇛ t = 60 km / 40 km/hr
⇛ t = 3/2 hr.
⇛ t = 90 mins or 1 1/2 hours
So, time the car will take to travel 60 km:
And we are done !!
#CarryOnLearning....
<u>━━━━━━━━━━━━━━━━━━━━</u>
Answer
Ask full questions to which we can answer properly
Step-by-step explanation:
thanks
