49.70. If you’re supposed to round up, I would say 50. Hope it’s right :)
First, you need to get rid of the parenthesis, so you need to distribute:
12(–1.4m + 0.4) = m + 0.2
-16.8m + 4.8 = m +0.2
Then subtract both sides by m:
-16.8m - m + 4.8 = m +0.2 - m
-17.8m + 4.8 = 0.2
Subtract both sides by 4.8:
-17.8m + 4.8 - 4.8 = 0.2 - 4.8
-17.8m = -4.6
Now, divide both sides by -17.8:
-17.8m/-17.8 = -4.6/-17.8
m ≈ 0.258
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.
A bag has 5 red marbles, 6 blue marbles and 4 black marbles
so total no. of marbles = 5 + 6 + 4 = 15
now probability of picking a black marble = 4/15
after replacement again probability of picking black marble is 4/15
it is given that black marble is picked two times
so probability of picking black marble two times or picking , replacing , and then picking is 4/15*4/15 = 16/225
The sum of the complex number 12 – 5i and –3 + 4i is 9 - i
<h3>How to sum complex number?</h3>
The sum of 12 – 5i and –3 + 4i can be done as follows:
Therefore,
12 - 5I + (-3 + 4i)
12 - 5i - 3 + 4i
Hence,
combine like terms
12 - 3 - 5i + 4i
Finally,
9 - i
learn more on complex number: brainly.com/question/10373914
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