Answer:
(a) 
(b) 
(c) P(X ≤ 1) = 0.6321
(d) P(2 ≤ X ≤ 5) = 0.1286
Step-by-step explanation:
From the given information; Let consider X to be the time between two successive arrivals at the drive-up window of a local bank.
However; If X is regarded as the exponential distribution with λ = 1 which is identical to a standard gamma distribution with ∝ = 1
The objective is to compute the following :
(a) The expected time between two successive arrivals is;
(b) The standard deviation of the time between successive arrivals is;
(c) P(X ≤ 1)
P(X ≤ 1) = 1 - e⁻¹
P(X ≤ 1) = 0.6321
(d) P(2 ≤ X ≤ 5)
P(2 ≤ X ≤ 5) = [1 - e⁻⁵] - [1 - e⁻²]
P(2 ≤ X ≤ 5) = 0.9933 - 0.8647
P(2 ≤ X ≤ 5) = 0.1286
Answer:
x = 11
Step-by-step explanation:
2x + 34 = 56
2x = 56 - 34
2x = 22
x = 22/2
x = 11
Distributive property is used when you have a number outside a set of numbers in parenthesis.
Using the distributive property, you multiply the number outside the parenthesis by each number inside the parenthesis.
The first answer is correct because they are multiplying 9 by 20 and adding it to 9 multiplied by 6.
Answer:
Step-by-step explanation:
Given
See attachment for prism
Required
Find x
The prism has a regular hexagon base
The base area is calculated as:
This gives:
Side x represents the height.
So, we have:
Make x the subject
--- approximated
2=2
63= 3* 3* 7
14= 2*7
LCM (2,63,14)= 2*3*3*7= 126
The least common multiple (LCM) of 2, 63, and 14 is 126~
