Answer:
Step-by-step explanation:
If you map the sequence out, you get the following values:
a = 1, a(n) = 2
a = 2, a(n) = -3
a = 3, a(n) = -8
As you can see, the first term is 2 and the sequence is decreasing by 5 each time. Therefore, the answer is D.
Step-by-step explanation:
Divide two on both sides to get rid of it and the make the equation in the form y = mx + c
y = 3/2x + 5
since both lines are parallel they must have the same gradient which is 3/2
y = 3/2x + c
All you have to do now is to replace x and y with (2, -5) to find c
x = 2
y = -5
-5 = 3/2 × 2 + c
-5 = 3 + c
c = -5-3
c = -8
Answer:
a)
The variance is given by:
And the deviation is just the square root of the variance and we got:
b)
And for this case we can use the cumulative distribution given by:
And replacing we got:
Step-by-step explanation:
For this case we assume that X is our random variable and we know that the distribution for X is given by:
Part a
For this case the expected value is given by:
The variance is given by:
And the deviation is just the square root of the variance and we got:
Part b
For this case we want to find this probability:
And for this case we can use the cumulative distribution given by:
And replacing we got: