Answer:
-12
Step-by-step explanation:
Note that when x < 6, you will use the expression -4x
f(x) = -4x
Plug in 3 for x
f(3) = -4(3)
Simplify. Multiply
f(3) = -4(3)
f(3) = -12
-12 is your answer
Answer:
20
Step-by-step explanation:
ii) 7, 12, 17, 22..
The difference between the i) pair is 3, and the ii) pair is 5.
So ,
17 + 3 = 20.
22 + 5 = 27.
Therefore the series is 8, 7, 11, 12, 14, 17, 17, 22, 20, 27.
Answer:
70.15 ft²
Step-by-step explanation:
The figure consists of two adjacent equilateral triangles (all angles are 60 degrees and all outer edges are 9 ft).
If we focus on one of these equilateral triangles, we can get the final area by multiplying the area of that one triangle by 2.
The formula for the area of a triangle is (1/2)(base)(height). Remembering to multiply this by 2, we get
area of figure = (base)(height)
√3
= (9 ft)(9 ft)(--------) = (81 ft²)(1.732) = 70.15 ft²
2
Answer:
Coefficient
Step-by-step explanation:
If it is 10a^3 (10 times the variable "a" cubed), then 10 is the coefficient.
Answer: The mean number of checks written per day 
Standard deviation
Variance 
Step-by-step explanation:
Given : The total number of checks wrote by person in a year = 126
Assume that the year is not a leap year.
Then 1 year = 365 days
Let the random variable x represent the number of checks he wrote in one day.
Then , the mean number of checks wrote by person each days id=s given by :-

Since , the distribution is Poisson distribution , then the variance must equal to the mean value i.e. 
Standard deviation : 