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
9514 1404 393
Answer:
- $10,000 at 5%
- $22,000 at 6%
Step-by-step explanation:
Let x represent the amount invested at 6%. Then 32000-x is the amount invested at 5%, and the total interest earned is ...
0.06x +0.05(32000 -x) = 1820
0.01x +1600 = 1820 . . . . simplify
0.01x = 220 . . . . . . . . . . subtract 1600
x = 22,000 . . . . . . . . . . . multiply by 100
32000 -x = 10,000
Phyllis invested $22,000 at 6% and $10,000 at 5%.
I would change the fractions to decimals so that I could see least to greatest.
19/6=3.17
47/14=3.36
83/2=41.5
Least to greatest:
19/6, 47/14, 83/2
Answer:
Since I can't draw it I'll give you the answer. 2,000 g.
Step-by-step explanation:
A kilogram is 1000 grams. Multiply 1000x2 to get 2000. But add the g for grams or the answer is considered wrong by teachers.
Answer:
$38.50
Step-by-step explanation:
We are told the cost of the fabric per meter, so we first need to convert 250 cm into meters.
1 meter = 100 cm
Therefore, 250 cm = 250 ÷ 100 = 2.5 meters
cost of fabric = $15.40 per meter
To calculate the total cost, mulitply the length in meters by 15.40:
2.5 x 15.40 = 38.50
