Answer:
(A) 6/20 = x/2000
Step-by-step explanation:
To complete your questions, the missing parts are shown below
Sample 1 Sample 2 total
Country 5 3 8
Pop 4 3 7
Classical 3 5 8
Jazz 2 4 6
Rock 6 5 11
Total 20 20 40
The proportion that would predict the number of jazz songs that Mr. McElroy has stored on his MP3 player is given by 6/20
Hence, our required proportion would be
6/20 =x/2000
We cross multiply
20x = 2000 x 6
20x = 12000
Divide both sides by 20
X = 12000/20
X = 600
Hence, our required proportion would be
6/20 = x/2000
Answer:
49.95
Step-by-step explanation:
I got this answer by rounding 9.99 to 10 and I remembered I rounded it up by 1 cent. Then I multiplied 10 by 5 which is 50. then I multiplied 1 (cent) by 5 which is 5 cents and subtracted it from 50 which is 49.95
Answer: A=750 +75*t
B=900 +25*t
There would be 975 students in each high school in year 3 when they are expected to have the same number of students.
Step-by-step explanation:
A = B
750 +75*t=900 + 25*t
Solving:
75*t -25*t= 900 - 750
50*t= 150
t=3
This indicates that in year 3 both High Schools are projected to have the same number of students. To get that amount, you simply replace this value in the expressions:
A=750 +75*t= 750 +75*3= 975
B=900 + 25*t=900 + 25*3= 975
There would be 975 students in each high school in year 3 when they are expected to have the same number of students.
<h3>
Answer: y = (-1/2)x + 2</h3>
This is the same as y = -0.5x+2
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Explanation:
Refer to the diagram below.
The blue line is the graph of y = 2x+8, which is the left bank of the river.
For now, ignore the y = (-1/2)x+2 in the diagram and pretend we don't know that just yet. The red line is the bridge and it's some linear equation in the form y = mx+b. We're told the bridge is perpendicular to the river, so the bridge must also be perpendicular to the riverbank.
The blue line has slope m = 2. Apply the negative reciprocal to this to end up with -1/2. This is the perpendicular slope, and the slope of the red line. Note how the two slopes (2 and -1/2) multiply to -1. Any two perpendicular lines will have their slopes multiply to -1, as long as neither line is vertical or horizontal.
Since we want the bridge to pass through (0,2), this must mean the y intercept is b = 2.
So with m = -1/2 and b = 2, we go from y = mx+b to y = (-1/2)x + 2 which is the equation of the bridge shown in red.
This is the same as y = -0.5x + 2 since -1/2 = -0.5
Based on the graph, AD passes through -30 of the x - axis and DC passes through -15 of the y-axis.
These lines are the boundaries. Point P is located within said boundaries.
Since Point P is 5 feet from AD, it is in -25f the x-axis.
Since Point P is 5 feet from DC, it is in -10 of the y-axis.
Thus, Point P has the coordinates (-25,-10). It is located on the 3rd quadrant of the plane.
