Answer:The mean number of checks written per day = 0.3370
The standard deviation = 0.5805
The variance = 0.3370
Step-by-step explanation:
Let the random variable x represent the number of checks he wrote in one day.
Given : The number of checks written in last year = 123
Let the number of days in the year must be 365.
Now, the mean number of checks written per day will be :-

We know that in Poisson distribution , the variance is equals to the mean value .


Thus, Standard deviation = 0.5805
Answer:
(-∞, -7) ∪ (-3, ∞)
Step-by-step explanation:
The line y=0 is the x-axis. The graph is above the x-axis for x < -7 and for x > -3. The solution set is ...
(-∞, -7) ∪ (-3, ∞)
Answer:
70
Step-by-step explanation:
all angles in a triangle add up to 180
if two sides are equal their angles are equal
180-40
140÷2
70
The function is y=x+2 so the slope of this function is 1
This is a linear equation or y=mx+c. Where y is the number of mosquitos at a particular month and x is the number of months. We know the initial population of the mosquitoes is c=20. They population doubles every month so this is the gradient, m=2. Therefore the equation for the growth of the mosquito population is:
y = 2x + 20.
So after x= 10 months the mosquito population will be,
y=2(10)+20= 40.
There will be 40 mosquitoes after ten months.