Answer:
0.52763 is the probability that the time between the next two calls will be 54 seconds or less.
0.19285 is the probability that the time between the next two calls will be greater than 118.5 seconds.
Step-by-step explanation:
We are given the following information in the question:
The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.2 minutes.
The distribution function can be written as:
The probability for exponential distribution is given as:
a) P( time between the next two calls will be 54 seconds or less)
0.52763 is the probability that the time between the next two calls will be 54 seconds or less.
b) P(time between the next two calls will be greater than 118.5 seconds)
0.19285 is the probability that the time between the next two calls will be greater than 118.5 seconds.
Y= 2x+4, because when you plug in x and y you then solve for b and get 4. The 2x is the same because the slope stays the same on parallel lines.
Answer:
x = 24.48, y = -15.52, z = 3.95 to the nearest hundredth.
Step-by-step explanation:
x+y-z=5 (a)
-x-4y-8z=6 (b)
3x+5y-4z=-20 (c)
Adding equations a and b:
-3y - 9z = 11 (d)
Now multiply equation b by 3:
-3x - 12y - 24z = 18 (e)
Adding c and e:
-7y - 28z = -2 (f) Multiply by 3 to give (g)
-3y - 9z = 11 (b) Multiply by -7 to give (h)
-21y - 84z = -6 (g)
21y + 63z = -77 (h) Adding g and h:
-21z = - 83
z = 3.952
and y is found bt substituting in equation d:
-3y - 9(3.952) = 11
y = ( 11 + 9(3.952) / -3
= -15.52.
Now find x by substituting for y an z in equation a:
x - 15.52 - 3.952 = 5
x = 5 + 15.52 + 3.952
= 24.476.
Answer:
A pack of pencil' price=$8
Price went up=$12
increasing percentage = change/original x100
= (12 -8)/8 x100
=4/8 x100
=50%
Answer:
5 and 6
Step-by-step explanation:
The square root of 27 is 5.19615242271 , which is more than 5 but less then 6, therefore is between 5 and 6.
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<em>Hope this helped (: Can you please mark as brainliest?</em>
