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AysviL [449]
3 years ago
10

Assume that your favorite statistics professor (Who else, but me!) receives an average of five e-mail messages per day from stud

ents. If the number of messages approximates a Poisson distribution, what is the probability that on a randomly selected day your professor will have five messages?

Mathematics
1 answer:
lbvjy [14]3 years ago
3 0

Answer: approximately 0.18

Step-by-step explanation:

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A bacteria population starts with 400 bacteria and grows at a rate of r(t) = (450.263)e1.12567t bacteria per hour. How many bact
dangina [55]

Answer:

11,713 bacteria

Step-by-step explanation:

Integrating the growth rate function gives us the population of bacteria at any given moment 't', in hours:

r(t) = (450.263)e^{1.12567t} \\\int\ {r(t)} \, dt =P(t) = \frac{450.263}{1.12567}*e^{1.12567t} +C

Since at t=0, P(t) = 400, the value of C is:

P(0) = \frac{450.263}{1.12567}*e^{1.12567*0} +C\\400 = 400*1+C\\C=0

The number of bacteria after 3 hours is:

P(3) = 400*e^{1.12567*3}\\P(3) =11,713

3 0
3 years ago
Solve for y: 6x-2y= -8
Jlenok [28]
Move all terms that don't contain y to the right side and solve y=3x+4
4 0
3 years ago
The graph shows the relationship between men's shoe sizes and their heights. What type of relationship is this? a linear relatio
tatiyna

Answer: (A)

a linear relationship showing as height increases, shoes size increases

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
How much is three more than the square of 8?
kari74 [83]
3² equals nine, so the square root of eight has to be less than three.
The square root of eight is 2.82 rounded to the nearest hundredth. So 3 is approximately 0.18 more than the square of eight.

Hope this helps

~DragonGirl :)

7 0
3 years ago
Read 2 more answers
Will give brainliest to correct answer.
ryzh [129]
We can solve this problem by seeing at which part both of the parts of the graphs of the function are discontinued. Both of the parts of the graph of the function are discontinued at -2, so we will have to find a function that has a value that is undefined for x = -2. We can do this using the denominator of the fraction that's in each of the functions. The function where x = -2 will cause it to be undefined is the third one, so the answer to this question is C., f (x) = \frac{1}{x+2} +5. 
4 0
4 years ago
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