So you want to set up an equation for a weighted average. You know the final is 30% of the grade, so everything else is 70%. This gives you:
(Final)(.30) + (other grades)(.70) = course grade
The best grade the student can get would be if they get a hundred on the final, since that’s the best score you can make on the final. Then,
(100)(.30) + (82)(.70) = course grade
30 + 57.4 = course grade = 87.4 Which, If you round, the student would get an 87.
For the last part, we use the same equation, just filling in different parts.
(Final)(.30) + (other grades)(.70) = course grade
This time, we don’t know the grade for the final, but we know the course grade.
(Final)(.30) + (82)(.70) = 75
(Final)(.30) + 57.4 = 75
(Final)(.30) = 17.6
Final = (17.6)/(.30)
Final = 58.667 Which is approx a 59.
Answer:
A: 360
Step-by-step explanation:
Split the trapezoid into 2 shapes
Then find the area of the rectangle on the left:
18 × 15 = 270 square yards
Now for the triangle, first find the base by subtracting the 2 parallel lines:
25 - 15 = 10 yards
0.5(10 × 18) = 90 square yards
Add both areas to find total area:
270 + 90 = 360 square yards
All this can be seen in the figure below:
Answer:
<h2>y = 3x + b where b is any real number</h2>
Step-by-step explanation:
The slope-intercept form of an equation of a line:
m - slope
b - y-intercept
We have the equation: 
Parallel lines have the same slope. Therefore the equation of the lines that are parallel to the given line if in form:
where b is any real number.
Answer:
14
Step-by-step explanation:
Answer: (22.41, 25.59)
Step-by-step explanation:
The t-critical value with 17 degrees of freedom for a 95% confidence interval is : 2.11
Sample mean = 24
Standard deviation = 3.2
Standard error of mean = s / √ n
Standard error of mean = 3.2 / √ 18
SE = 3.2/4.2426
Standard error of mean 0.7542
Confidence interval 24-(0.7542)(2.11) = 22.41 and
24+(0.7542)(2.11) =25.59
