Answer:
y ≤ -5/3x + 11/3
Step-by-step explanation:
line pass : (1,2) (4,-3)
slope (m) = (-3 - 2) / (4 - 1) = - 5/3
equation: (y-2) / (x-1) = -5/3 y-2 = -5/3x + 5/3
y = -5/3x + 11/3
(-2,8) : not solution y ≤ -5/3x + 11/3
You can plot a linear equation, if you are given the coordinates and the slope for THE SAME line.
Assuming you have those, the first step is to find the y-intercept.
That is done by replacing and in the general formula by their coordinated counterparts, and replacing by the slope that is given to you.
Let's assume the coordinates you are given are , and the slope you are given is 1.
By substituting into the general formula...
...we can see that it is possible to find the y-intercept ().
Knowing the y-intercept, it is possible to plot the line and solve any question.
I'll leave a picture of the example used above when graphed.
Answer:
Sample size n = 1382
so correct option is D) 1382
Step-by-step explanation:
given data
confidence level = 99 %
margin of error = 3%
probability = 25 %
to find out
How large a sample size needed
solution
we know here P = 25 %
so 1 - P = 1 - 0.25
1 - P = 0.75
and we know E margin of error is 0.03 so value of Z for 99%
α = 1 - 99% = 1 - 0.99
α = 0.01
and =
= 0.005
so Z is here
= 2.576
so
sample size will be
Sample size n =
put here value
Sample size n = (\frac{2.576}{0.03})^2 * 0.25 * 0.75
Sample size n = 1382
so correct option is D) 1382
Answer:
Step-by-step explanation:
50 people in the class
20/50, 25/50, 5/50: 40%, 50%, 10%
0.40 is blonde and 0.60 probability
Answer: 64%
Step-by-step explanation:
Given the following :
Current price of stock = $50
Probability of increase per day = 40% = 0.4
Probability of decrease = 60% = 0.6
Value of increase = $11
Value of decrease = $13
Probability that stock is greater than $30 in two days :
For stock to be greater than $30 in two days ;
It either increases in both days or increases in a day and falls the other
Hence, probability that stock is greater than $30
P(increase and increase) OR P(increase and decrease) OR P(decrease and increase)
(0.4 × 0.4) + (0.4 × 0.6) + (0.6 × 0.4)
0.16 + 0.24 + 0.24 = 0.64
0.64 × 100 = 64%