X > -2
Because if you divide by a negative you flip the sign
Answer:
a. [ 0.454,0.51]
b. 599.472 ~ 600
Step-by-step explanation:
a)
Confidence Interval For Proportion
CI = p ± Z a/2 Sqrt(p*(1-p)/n)))
x = Mean
n = Sample Size
a = 1 - (Confidence Level/100)
Za/2 = Z-table value
CI = Confidence Interval
Mean(x)=410
Sample Size(n)=850
Sample proportion = x/n =0.482
Confidence Interval = [ 0.482 ±Z a/2 ( Sqrt ( 0.482*0.518) /850)]
= [ 0.482 - 1.645* Sqrt(0) , 0.482 + 1.65* Sqrt(0) ]
= [ 0.454,0.51]
b)
Compute Sample Size ( n ) = n=(Z/E)^2*p*(1-p)
Z a/2 at 0.05 is = 1.96
Samle Proportion = 0.482
ME = 0.04
n = ( 1.96 / 0.04 )^2 * 0.482*0.518
= 599.472 ~ 600
Answer:
The number generator is not fair. In most of the experiments, considerably less than 40% of the selected are green
Step-by-step explanation:
Given

See attachment for plots
Required
Is the number generator fair or not
From the number line, we have the following outcomes:





Divide each outcome by 12, to get the proportion of green in each trial





The above shows that the proportion of green in most of the trial is less than 40%
<em>Hence, the number generator is not fair.</em>
We have to find the parameter a so that (-1,2) is part of the function f(x) = ax²+4.
To check if a point is part of a function, we can replace the values of x and y = f(x) with the coordinates of the point and then, if the equation stays true, then the point is part of the function.
So for (x,y) = (-1,2) to be part of the function y = f(x), this equation has to stands true:

Then, the function would have to be f(x) = -2x² + 4.
We can check with a graph as:
Answer: a = -2
Answer: y=(2/3)x-1
We know that the slope is 2/3, so we have our m value. Now we have to find the intercept value by “plugging in” an x value, like -3. When you multiply -3 by 2/3, you end up with -2. To get to -3, you must subtract 1. This means -1 is your intercept value.
Therefore the answer is y=(2/3)x-1