Answer:
she did not randomly select enough students
Step-by-step explanation:
there is too much of an area for mistakes in this experiment as the teacher could unknowingly have a bias in terms of choosing a female student.
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Explanation:
The given equation is y = (-3/4)x - 2. Comparing it to y = mx+b, the slope is m = -3/4
Flip the fraction and the sign to go from -3/4 to 4/3. This is the perpendicular slope. Multiplying the two slopes gets (-3/4)*(4/3) = -1.
Rule: the original slope and perpendicular slope always multiply to -1, assuming neither line is vertical or horizontal.
We'll use the point (x,y) = (3,6) and the perpendicular slope m = 4/3 to find the y intercept b
y = mx+b
6 = (4/3)(3) + b
6 = 4+b
6-4 = b
2 = b
b = 2
The y = mx+b equation becomes y = (4/3)x + 2 which is the slope intercept form of the perpendicular line.
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Extra info:
If you want to convert to standard form Ax+By = C, then you could do the following steps
y = (4/3)x + 2
3y = 4x + 6 ... multiply everything by 3 to clear out the fraction
3y - 4x = 6
-4x + 3y = 6
4x - 3y = -6 ... multiplying both sides by -1; this is to make A > 0
Answer:
<DBE = 120
Step-by-step explanation:
A straight angle (ABC) has 180 degrees.
20 + 40 + x = 180 Combine the left
60 + x = 180 Subtract 60 from both sides.
60-60 + x = 180 - 60
x = 120
I
What number will complete the point-slope equation that models this scenario?
y -50,000 =______(x -10)
A.) -3,000
B.) -2,000
C.) 2,000
D.) 3000
Answer :A.) -3,000
x = 0 representing the year 2000, circulation was 80,000.
x =10 representing the year 2010,circulation was 50,000.
Point slope equation is
, where m is the slope and (x1,y1) is one of the point
We have two points, (0,80000) and (10,50000)
Now we need to find slope (m)
=
So answer is y -50,000 =-3000(x -10)
Answer:
See explanation
Step-by-step explanation:
You are given the equation of the curve
Point lies on the curve.
Point is an arbitrary point on the curve.
The slope of the secant line PQ is
1. If x=0.5, then the slope is
2. If x=0.9, then the slope is
3. If x=0.99, then the slope is
4. If x=0.999, then the slope is
5. If x=1.5, then the slope is
6. If x=1.1, then the slope is
7. If x=1.01, then the slope is
8. If x=1.001, then the slope is
To find the slope of the secant line PQ, we use the formula (y2 - y1)/(x2 - x1) for each given x-value, plug in the coordinates of P and Q, and solve for the slope.
We need to calculate the slope of the secant line passing through points P(1, 1/2) and Q(x, x/(1+x)) for different values of x. The slope of a secant line is calculated using the formula (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points it passes through. We already have P(1, 1/2), so let's calculate the slope for each given x-value.
After calculating the slope for each x-value, we convert them into a decimal format rounded to four places.