Answer:
15.6
Step-by-step explanation:
First, multiply the midpoint of each class by its frequency, as follows:
Class midpoint frequency midpoint*frequency
0-9 4.5 24 4.5*24 = 108
10-19 14.5 20 14.5*20 = 290
20-29 24.5 32 24.5*32 = 784
Total 76 1182
The mean is computed as the division between the addition of the "midpoint*frequency" column by the addition of "frequency" column.
mean = 1182/76 ≈ 15.6
Answer:
The equation of the line that is parallel to is and the equation of the line that is perpendicular to is .
Let be a line whose equation is:
(1)
Whose explicit form is:
(2)
Where:
- Independent variable.
- Dependent variable.
The slope and x-intercept of the line are and , respectively.
There are two facts:
A line is parallel to other line when the former has the same slope of the latter.
A line is perpendicular to other line when the former has a slope described the following form (), where is the slope of the former.
Then, the equation of the line that is parallel to is and the equation of the line that is perpendicular to is .
To learn more on lines, we kindly invite to check this verified question: brainly.com/question/2696693
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Answer:
x ≈ - 10.65, x ≈ - 5.35
Step-by-step explanation:
Given
(x + 8)² - 7 = 0 ( add 7 to both sides )
(x + 8)² = 7 ( take the square root of both sides )
x + 8 = ± 
( subtract 8 from both sides )
x = - 8 ± , thus
x = - 8 - ≈ - 10.65
x = - 8 + ≈ - 5.35
Answer:
40 ft²
Step-by-step explanation:
Let the length of the original rectangle be L and original Breadth be B
it is given that the original area is 5/8 ft²
i.e.
Original Length x Original Breadth = Original Area, or,
LB = 5/8 ft² ------------------(1)
Given that the dilation factor is 8,
Hence,
New Length = 8L and New Breadth = 8B
THerefore,
New Area = 8L x 8B
= 64 LB (from (1) above , we know that LB = 5/8 ft², substitute into expression)
= 64 (5/8)
= 40 ft²
Answer:
-2x^2+5x+12
Step-by-step explanation:
(4-x)(3+2x)
12-3x+8x-2x^2
12+5x-2x^2
-2x^2+5x+12
