Answer:
y=5x+13
Step-by-step explanation:
when x=-3, y=-2, and when x=-2, y=3. we know that every time x increases by 1, y also increases by 5. This means that the slope is 5. to find the y-intercept, we need x to be 0. to find that, increase x by 2. if x increases by 2, then y would also increase by 10. add 10 to 3 and add 2 to -2 to get x=0 and y=13. the coordinates would be (0,13). the y-intercept is 13. now that we have enough information, we can conclude that y=5x+13. To check your answer, plug in the values for x.
Answer:
700 lbs and 3.742
Step-by-step explanation:
Given that raw materials are studied for contamination. Suppose that the number of particles of contamination per pound of material is a Poisson random variable with a mean of 0.02 particle per pound.
a) To get 14 particles of contamination we must have
expected number of pounds =
b) Since for 700 pounds particles expected are 14 we can say in a Poisson distribution mean and variance are equal
i.e. Var (700 lbs to obtain 14 particles of contamination ) = 14
Std deviation =
Answer:
The given expression is equivalent to 3(2^(3/8))x.
Step-by-step explanation:
The given expression (3 root 8^1/4 x) can be written as:
3√(8^(1/4))x
we know that 2^3 = 8
= 3√(2^(3/4))x
We know that √x = (x)^(1/2)
= 3(2^((3/4)(1/2))x
Powers multiply with each other, 3*1/4*2 = 3/8
= 3(2^(3/8))x