Answer:
a) 0.1108
(b) 0.0173
Step-by-step explanation:
We are given that 20% of all stock investors are retired people. A random sample of 25 stock investors is taken.
Firstly, the binomial probability is given by;
where, n = number of trails(samples) taken = 25
r = number of successes
p = probability of success and success in our question is % of
retired people i.e. 20%.
Let X = Number of people retired
(a) Probability that exactly seven are retired people = P(X = 7)
P(X = 7) =
= = 0.1108
(b) Probability that 10 or more are retired people = P(X >= 10)
P(X >= 10) = 1 - P(X <= 9)
Now, using binomial probability table, we find that P(X <= 9) is 0.98266 at n = 25, p = 0.2 and x= 9
So, P(X >= 10) = 1 - 0.98266 = 0.0173.
Answer:
y = x + 4
Step-by-step explanation:
y = mx + b
y = 1x + b
5 = 1 + b
b = 4
y = x + 4
Answer:
Deleted account
Step-by-step explanation:
Here 3x-12y-216=0
Reducing into slope intercept form
-12y= -3x + 216
12y = 3x - 216
Which is in the form of, y = mx + c
Slope (m) = 3
Step-by-step explanation:
Answer:
The distance between CB is ![\sqrt[]{10}](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%7B10%7D)
Step-by-step explanation:
Recall that the transformation T consists of a translation of 2 units to the right and 1 unit up. Then, T preserves distances(which means that it keeps distances between points the same as before applying the transformation). Then, distance CB is the sames as distance C'B'. We will use the distance formula: if we have points (x,y), (z,w) then the distance between them is given by
![\sqrt[]{(x-z)^2+(y-w)^2}](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%7B%28x-z%29%5E2%2B%28y-w%29%5E2%7D)
In our case we have that C'=(0,3), B'=(3,4). Then, the distance between them is
![\sqrt[]{(3-0)^2+(4-3)^2}= \sqrt[]{10}](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%7B%283-0%29%5E2%2B%284-3%29%5E2%7D%3D%20%5Csqrt%5B%5D%7B10%7D)