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
48x0.2= $9.6
$48-9.6=$38.40 Her friend is incorrect.
40/48 =0.83 or about 83% So, in this case she only got 17% off. :)
<span>Hope I helped </span>
Answer:
Basketball = 0.743
Step-by-step explanation:
Given
Tennis:
Starting Height = 200 cm
Rebound Height = 111 cm
Soccer Balls;
Starting Height = 200 cm
Rebound Height = 120 cm
Basketball:
Starting Height = 72 inches
Rebound Height = 53.5 inches
Squash:
Starting Height = 100 inches
Rebound Height = 29.5 inches
For measuring the bounciness of a ball, one needs that starting Height of and the rebound Height of that ball which have been listed out above.
Calculating the rebound ratio of each balls.
Rebound Ratio = Rebound Height/Starting Height
Tennis: 111/200= 0.556
Soccer Balls: 120/200 = 1.667
Basketball: 53.5/72 = 0.743
Squash: 29.5/100 = 0.295
From the rebounding ratio calculated above, it can be seen that basketball has the highest rebound ratio of 0.743 and is the bounciest of all whole Squash has the least rebound of 0.295 ratio, hence it is the least bounce of all.
Answer:
here are 4 different types of prisms
Step-by-step explanation:
Option B: 67.02 cubic inches
<h2>
Given that:</h2>
The diagram consists of two parts:
- First a cone on the top with 12 inches height and 4 inches diameter.
- Second a semi sphere with diameter of 4 inches.
<h2>Calculations:</h2>
The amount of foams that can be stuffed with foam is total volume of both the containers.
Volume of the given cone of 12 inches height and 4 inches diameter can be given as:

Volume of the semi sphere of 4 inches diameter can be given as:

Thus total volume is 50.265 + 16.755 = 67.02 cubic inches.
Thus option B : 67.02 cubic inches is the needed volume.
Learn more here:
brainly.com/question/1315822