Answer:
x = 5
Step-by-step explanation:
Answer:
y=3/5x-1
Step-by-step explanation:
The formula you need to find this would be
(y-y1)=m(x-x1)
The y1 is your y point.
The x1 is your x point.
m is your slope.
Start by plugging in your numbers that they provide you.
(y-8)=3/5(x-15)
Now you need to distribute the slope to the terms inside the parenthesis next to it.
3/5(x)=3/5x
3/5(-15)= -9 Now you put those back into the equation.
(y-8)=3/5x-9
At this point you can get rid of the parenthesis around the y-8 since it is basically saying to take the term times 1.
To get y alone we not need to add 8 to both sides.
y-8=3/5x-9
+8 +8
y=3/5x-1
Answer:
h(x) = -2x^2 -2
Step-by-step explanation:
You know that translating the point (a, b) vertically downward by 3 units will make it be the point (a, b-3).
The same translation works on the point (x, f(x)), or when a=x and b=f(x). Translated downward by 3 units, the point becomes ...
(x, f(x) -3)
You want to name this (x, h(x)), so we have ...
h(x) = f(x) -3
h(x) = -2x^2 +1 -3 . . . substitute the expression for f(x)
h(x) = -2x^2 -2 . . . . . simplify
Answer:
f(x) = P(X≤4) = 4Cx * 0.0005^x * 0.9995^(4-x)
Step-by-step explanation:
Given
The range of values is given as {0,1,2,3,4}
Because any computer can fail.
Given that the failure of the computers are independent and
The probability of failure is given as 0.0005.
Cumulative Distribution Function is the the probability that a random variable is less than or equal to a specific value
So, we'll take the binomial effect into consideration.
It is given as
f(x) = P(X ≤ x) = 4Cx * 0.0005^x * (1 - 0.0005)^(4 - x)
f(x) = P(X≤4) = 4Cx * 0.0005^x * 0.9995^(4-x)
= 6 2/3 / 2/3
= 20/3 / 2/3
= 20/3 x 3/2
= 60/6
=10
It rained for 10 hours.
