The rule of the linear equation which is 'y is three more than twice x' can be translated into y = 2x + 3. Thus, we simply use the points and subtitute it to the y and x variables.
1st point: (-1, 1)
1 = 2(-1) + 3
1 = -2 + 3
1=1
2nd point: (0, 3)
3 = 2(0) + 3
3 =3
3rd point: (-1/3, 7/3)
7/3 = 2(-1/3) + 3
7/3 = -2/3 + 3
7/3 = 7/3
All points prove the equation satifsfies the set of coordinates.
Answer:
a) 0.23
b) The 95% confidence interval for the population proportion is (0.1717, 0.2883).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
Point estimate
The point estimate is:
95% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
The lower limit of this interval is:
The upper limit of this interval is:
The 95% confidence interval for the population proportion is (0.1717, 0.2883).
A stock portfolio's overall beta is found by multiplying each stock's beta times the percentage of the overall portfolio it makes up and adding these terms together. Since the current portfolio's beta is known, we can treat all the stocks in the portfolio as a single stock for calculating its weight in the new portfolio. Thus, our new portfolio will have a value of $150,000, $100,000, or 2/3, of which has a beta of 1.5 and $50,000, or 1/3, of which has a beta of 3. Then the beta of the new portfolio will be 1.5*(2/3) + 3*(1/3) = 2.
Answer:
Step-by-step explanation:
5/8x = 1/2x + 2
5/8x - 1/2x = 2
46x = 2
x=16
So you want to get x by itself so you. First you get 5/8x and 1/2 and subtract 1/2 from both sides. Then find the common demonantor for both numbers. After use inverse operations to multiply both sides by the reciprocal of the fraction coefficient. Finally check the solution by substituting 16 for x in the original equation.
