Answer:
2 - x
Step-by-step explanation:
Add together any numbers that need to be together
5 - 2x - 3 + x
2 - x
Let me know if you need more of an explanation
Answer:
0.2397
Step-by-step explanation:
Given data:
fX(x) = Cxe^(−x/2) if x >0 0 otherwise, where C > 0 is some constant.
The probability that the system functions for at least 5 months
= 0.2397
attached below is a detailed solution
Step-by-step explanation:
Consider a function
f
(
x
)
which is twice differentiable. The graph of such a function will be concave upwards in the intervals where the second derivative is positive and the graph will be concave downwards in the intervals where the second derivative is negative. To find these intervals we need to find the inflection points i.e. the x-values where the second derivative is 0.
Answer:
The probability of selecting two Democrats and two Republicans is 0.4242.
Step-by-step explanation:
The information provided is as follows:
- A city council consists of seven Democrats and five Republicans.
- A committee of four people is selected.
In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.
The formula to compute the combinations of k items from n is given by the formula:

Compute the number of ways to select four people as follows:

Compute the number of ways to selected two Democrats as follows:

Compute the number of ways to selected two Republicans as follows:

Then the probability of selecting two Democrats and two Republicans as follows:

Thus, the probability of selecting two Democrats and two Republicans is 0.4242.
Please present the relationship in a table arranged vertically:
<span>this relationship. X= 0, 2, 4, 6, Y= 0, 8.4, 16.8, 25.2 becomes:
</span><span> x y
--- -----
0 0
2 8.4
4 16.8
6 25.2
Notice that as x increases by 2 units from 2 to 4, y increases by 8.4 units to 16.8. Thus, the slope of this line is
16.8
m = -------- = 8.4
4-2
Your problem statement sounds incomplete; what were you asked to do here?
You could compare the equations of the 2 functions:
y = 4.2x and
y = 8.4x
The slope of the 2nd function is twice that of the first function. Both graphs go through the origin, (0,0).</span>