Answer:
The equation of the line would be y = -2/3x + 5
Step-by-step explanation:
In order to solve this, start by finding the slope of the original line. You can do this by solving for y.
3x = 2y + 4
-2y = -3x + 4
y = 3/2x - 2
Now that we have a slope of 3/2, we know that the perpendicular slope is -2/3 (since perpendicular lines have opposite and reciprocal slopes). We can use this and the new point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 1 = -2/3(x - 6)
y - 1 = -2/3x + 4
y = -2/3x + 5
Answer:
Length of the garden: 96m
Width of the window: 56cm
Step-by-step explanation:
Answer: x = 4
Explanation: root x-1 = 2- root x+3
First let’s take out the root by square both side by 2 we get:
x-1= 4-x+3
x-1 = -x+7
x+x = 7+1
2x= 8
x= 8/2=4
Answer: 74.5% of the measurements fall within one standard deviation of the average.
Step-by-step explanation:
The total number of measurements given is 2 + 12 + 10 + 33 + 40 + 76 + 80 + 65 + 52 + 22 + 12 + 5 + 11 = 420
If the mean is 21 mm and one standard deviation is 0.23 mm, then one standard deviation from the mean would be
21 ± 0.23
The lower limit is 20.77 mm
The upper limit is 21 + 0.23 = 21.23 mm
The number of measurements that fall within this range are
20.8 × 40
20.9 × 76
21.0 × 80
21.1 × 65
21.2 × 52
The total number of measurements that fall within this range is
40 + 76 + 80 + 65 + 52 = 313
The percentage of the measurements that fall within one standard deviation of the average is
313/420 × 100 = 74.5%
At start Keenan has x strawberries. He gives Tisha x/2. Then Tisha keeps 4 strawberries and gives Suvi the rest. If y is the number of strawberries that Suvi gets:
y = x/2 - 4.
For example: Keenan has 20 strawberries. He gives Tisha 10 and Tisha gives Suvi 6:
6 = 20/2 - 4
6 = 10 - 4
