Answer:
Step-by-step explanation:
Area = 1/2 * 2b * (5b - 7)
Area = 1/2 * 2b * (5b - 7) = 24
b * (5b - 7) = 24
5b^2 - 7b = 24
5b^2 - 7b - 24= 0
(b- 3 )(5b + 8) = 0
b = 3 This the only solution that works. b can't be minus
The base is 2b or 2 * 3 = 6
Formula for area of a circle: Pi * R^2.
Radius = diameter/2
Radius = 16m/2
Radius = 8m
Formula and equation:
Pi * (8)^2
= Pi * 64m2
= 201.0 m2.
So, in conclusion, the answer to this question is C)64 * Pi * m^2.
The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y). This form is also very useful when solving systems of two linear equations.
Answer:
For the first question the sample size is n= 3850
And replacing we got:
We are confident at 95% that the true proportion of all people who like the movie is between 0.484 and 0.516.
Step-by-step explanation:
We have the following info given:
represent the estimated proportion of all people who like the movie
represent the sample size selected
For the first question the sample size is n= 3850
For the second part they gives to us the margin of error:
We know that the confidence interval for a population proportion 
of interest is given by:
And the margin of error is given by:
So then the confidence interval can be found with this formula:
And replacing we got:
We are confident at 95% that the true proportion of all people who like the movie is between 0.484 and 0.516.
H(x) = 4x² - 8x - 60
0 = 4x² - 8x - 60
0 = 4(x²) - 4(2x) - 4(15)
0 = 4(x² - 2x - 15)
4 4
0 = x² - 2x - 15
0 = x² - 5x + 3x - 15
0 = x(x) - x(5) + 3(x) - 3(5)
0 = x(x - 5) + 3(x - 5)
0 = (x + 3)(x - 5)
0 = x + 3 or 0 = x - 5
- 3 - 3 + 5 + 5
3 = x or 5 = x
