Answer:
a) 20 second
b) 20 second
c) 1 minute
Step-by-step explanation:
Let X be the exponential random variable arising from the Poisson process with the rate λ = 3 counts per minute. Its cdf is then given by:
F(x) = I - e^-3x, x >= 0
Calculate the mean and the standard deviation of the random variable X as follows:
Е(X) =I/λ =I/3=20 second
std (x) =√1/λ^2=1/3=20 second
For the part c), write down the equation:
0.95 = P(X < x) = F(x) = I - e^-3x
and solve the equation for x to obtain:
x = -1/3 In 0.05 = 0.9985 ≅ 1 minute
The equivalent value of the sum for any value of "x" is 12x - 6
<h3>How to find the sum of functions?</h3>
Given the sum of the expression as:
3
∑ k(2x-1)
k=0
We need to take the sum of the function at the point where k = 0 to 3
3
∑ k(2x-1) = 0(2x-1) + 1(2x - 1) + 2(2x-1) + 3(2x - 1)
k=0
3
∑ k(2x-1) = 2x-1+4x-2+6x-3
k=0
3
∑ k(2x-1) = 12x - 6
k=0
Hence the equivalent value of the sum for any value of "x" is 12x - 6
Learn more on sum functions here: brainly.com/question/24295771
Answer:
Perimeter is (width×height) but in this case it would be base×width & height...
First find the with of the triangle,by measureing the points with the base.
Second to find the base simply look equilateral and the half circle. and see how the lines in between it and the triangle collide. and count the spaces to find the base.
Third measure the height with the best estimate.
And finally, multiply by (h×w) and divide by the base.
After following these steps the answer I have come to is: 45
Step-by-step explanation:
I'm sorry if this is wrong I tried my best ❤️Good luck! and have a great day or night!
I'm not quite sure how I'd attach a picture of my working so I'll explain the method.
16) I multiplied both 3.5 and 40 by ten so that I could divide them to find the number of servings. 35 divided by 400 is 11 remainder 15. If you then divide the remainder by 10 you get 11 servings and 1.5 ounces left over.
17) if you add up 26, 17, and 37 inches you get 80 inches, or just over 6 feet. Hence, he should buy an 8 foot length rod in order to have as little waste as possible.
18) 12.25 pounds is 196 ounces. Hence, the shipping rate at $0.26/ounce would end up being $50.96. From this we can see that the flat-rate box at $25 is less expensive.
