Answer:
2x– 3y = –18
3x + y = -5
Converting the equation in slope-intercept form
2x-3y= -18
-3y= -2x-18
-3y= -(2x+18)
3y=2x+18
y=(2x+18)/3
And for equation 2
y= -5-3x
For plotting the graph, the online graphing calculator desmos.com can be used.
The points can be calculated by putting negative and positive values of x in both equations.
The graph is attached as a picture.
As we can see from the graph that two lines intersect at (-3,4) so it is the solution of the given system of linear equations.
The answer to this question would be: 2*52! -1
In this case, the card is either picked up by Naoko or they are not picked up. That means there are two possible outcomes for each card. For 52 card, the possibility should be:
2*52!
If Naoko needs to pick at least one, the possibilities become one less because "no card picked" possibility is ruled out
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:
One soultion
Step-by-step explanation:
