Answer: 84 ft^2
Step-by-step explanation:
The whole prism can be divided into 5 surfaces.
Two triangles and 3 rectangles.
Find the area of each of the 5 shapes and add them together.
The triangle has a base of 4 and a height of 3.
Area of triangle 1: A= 4*3 * 1/2
A = 6
Area of triangle 2: A = 4*3 * 1/2
A = 6
Area of rectangle 1 : A= 4*6
A = 24
Area of rectangle 2; A = 3*6
A = 18
Area of rectangle 3: A= 5 *6
A = 30
Now add the areas together
6 + 6 + 24 + 18 + 30 + = 84 ft^2
Answer:
C. 10 : 16
Step-by-step explanation:
Attached below
#1 second line: x-y=-3
x=y-3(isolating x to prepare for substitution)(what x is equivalent to)
get back to the first line
x+y=5
(y-3)+y=5(substituting the value of x of the first line with the value of x at the second line)(It is a process to find the intersection between the two lines(line#1 and line#2 are two linear functions)
2y-3=5(simplify)
2y=8(simplify)
y=4(simplify)
line#1 x+y=5
x+(4)=5(plug the value of y back into either line#1 or line#2 will work)(plugging in the y value of the point of intersection to solve for the x value of the point of intersection)
x=1(solve)
the two linear lines intersect at the point(1(x coordinate), 4(y coordinate))(1,4)
#2 (line#1) y=3x-1
(line#2) 2x+y=14
2x+(3x-1)=14
5x-1=14
5x=15
x=3
y=3(3)-1
y=9-1
y=8
(3,8)
#3 line#1 2x+3y=8
line#2 6x+9y=24
2x=8-3y
x=(8-3y)/2
6((8-3y)/2)+9y=24
24-9y+9y=24
24=24
(those two lines are on top of yeach other/the same line)
any point on the line
#4 line#1 3x-4y=12
line#2 y=3/4x-4
3x-4(3/4x-4)=12
3x-3x+16=12
16=12
parallel lines: lines with same slope and different y-intercept
No solution/they never intercept each other
I hope it is helpful, if you have any question, I will answer ASAP
Answer:
And if we take the average value of the sample variances from all the possible random samples we will get the population variance:
So then the best answer for this case would be:
The average value of the sample variances from all the possible random samples will be exactly the population variance
Step-by-step explanation:
For this case we can define the sum of squares with this formula:
Where:
And we can find the sample variance with this formula:
And if we take the average value of the sample variances from all the possible random samples we will get the population variance:
So then the best answer for this case would be:
The average value of the sample variances from all the possible random samples will be exactly the population variance
2x + 7 = 21
first you subtract the 7 from the 7 and 21 which will leave you with 2x=14
then see what multiples with 2 to get 14 which is 7!
