Answer:
11/6
Step-by-step explanation:
(15-26)/3 + (-8+19)/2
Do parentheses:
-11/3 + 11/2
Find the common denominator:
-11(2)/3(2) + 11(3)/2(3)
Multiply:
-22/6 + 33/6
Add the fractions:
11/6
Answer:
104.8 in^2
Step-by-step explanation:
There are 2 ways to solve this problem.
The 1st way:
Let's make 2 triangles and 1 rectangle:
Rectangle Length = 8.3
Rectangle Width = 8
So, the left out length will be 17.9 - 8.3
=> 9.6
Since, 9.6 cm is for 2 parts.
=> 9.6 / 2
=> 4.8
So, Height of the Triangle = 8
Base of the triangle = 4.8
Area of a rectangle
=> 8.3 x 8
=> 66.4
Area of the triangle
=> 1/2 x 8 x 4.8
=> 4 x 4.8
=> 19.2
There are 2 triangles:
=> 19.2 x 2
=> 38.4
=> 66.4 + 38.4
=> 104.8
The area of the trapezoid = 104.8 in^2.
The 2nd way is:
Area of a trapezoid
=> Smaller Base + Larger Base / 2 x Height
=> 8.3 + 17.9 / 2 x 8
=> 26.2 / 2 x 8
=> 13.1 x 8
=> 104.8
The area of the trapezoid is 104.8 in^2
Answer:
The distribution is skewed, so use the five-number summary. range: 38, median: 16, half of the data are between 9.5 and 25
Step-by-step explanation:
In the picture attached the histogram is shown. We can see that data is skewed to the right, so we have to use the five-number summary. The range of the data is 39 - 1 = 38 (subtraction of the maximum value to the minimum value); the median is (15 + 17)/2 = 16 (if you order the values, 15 and 17 are in the middle); quartile 1 is 9.25 and quartile 3 is 25.5 (see diagram of box and whisker attached), then half of the data are between those values.
Answer:
First statement correct
Second statement not correct
You did it correctly though
Step-by-step explanation:
Since the lines have have same slope they would be parallel lines and never intersect each other hence inconsistent solution hence the first statement is correct.
A system of linear equations in which the two equations represent the same line; there are an infinite number of solutions to a dependent system, but these lines don't overlap each other hence no infinitely many solution thus not a dependent system and hence not correct
Answer:
3.6 hours
Step-by-step explanation:
Blake can do work in hours = 9
Blake can do a part of work in 1 hour = 
Ned can paint the same room in six hours.
Ned can do a part of work in 1 hour = 
They can do a part of work together in 1 hour = 
=
Now they can do
part of work in hour = 1
So, they can do whole work in hours = 
= 
Hence it will take 3.6 hours to paint the room if they work together.