Answer:
2/3
Step-by-step explanation:
What is the lower quartile of the data? 16, 18, 59, 75, 30, 34, 25, 49, 27, 16, 21, 58, 71, 19, 50
svetlana [45]
Answer:
19.
Step-by-step explanation:
First arrange in ascending order:
16, 16, 18, 19, 21, 25, 27, 30, 34, 49, 50, 58, 59, 71, 75.
There are a total of 15 numbers, so the median is the 8th number = 30.
The lower quartile is halfway alone the first 7 numbers which is the 4th number and it is 19.
The median which is the middle number
Hey there!
Let's go through all of our options.
A) It's defintely not curved; it's written in slope intercept form and is indeed a straight line.
B) Yes, the graph is a straight line. Although it's at an angle, it has no curves or flaws, and is completely straight.
C) The graph is not vertical. It has a y intercept and slope and therefore isn't. That's because it has a rate of change, and it crosses the y axis at some point depending on the slope, or rise over run. Vertical lines really don't have that.
D) Yes, the graph is a function. This is because it does not have two x values for one y, and does not fail the straight line test, which states that you can place a straight line anywhere on the graph and it can only go through one point.
E) This is false. If we put in -5 as our input, we add 1 and get -4, which is a negative output. Your output here depends on the input you put in, and the sign usually remains considering it's +1.
F) This graph does not pass through the origin. This is because the origin has a point at 0,0 and since it's x+1, it would be 0,1 instead because your output is adding one to that 0.
Hope this helps!
Answer:
Step-by-step explanation:
The standard form of a linear equation is 
.
The given line has equation:
This is the point-slope form of the given line.
To find the standard form, we clear the fraction
We expand the parenthesis now to get:
We group the variables on the LHS and the constants on the RHS.
Multiply through by -1
This is of the form: .
Answer:
option d: 25% unfavorable
Step-by-step explanation:
The budget is $40, and it was spent $50, so as the amount spent was higher than the budget, we have a unfavorable percent of variance.
The amount spent more than the budget was:
50 - 40 = 10
Now to calculate the percent of variance, we divide the value spent more than the budget (10) by the value of the budget (40)
Percent of variance = 10 / 40 = 0.25 = 25%
So the answer is 25% unfavorable, option d
