Answer:
The mean of the measurements is 91.17.
Step-by-step explanation:
The mean is the sum of all measurements divided by the number of measurements.
For this problem, we have that:
The sum of all 100 measurements was 9117.0.
So, the sum of all measurements is 9117.
The number of measurements is 100.
So:
The mean of the measurements is 91.17.
Answer:
y= -4x+7
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.
Let's find the gradient of the line first.
Using the above formula,
Susbt. m= -4 into the equation:
y= -4x +c
Subst. a coordinate to find c.
When x=3, y= -5,
-5= -4(3) +c
-5= -12 +c
c= 12 -5
c=7
Thus the equation of the line is y= -4x +7.
Solving <span>8x-5y=10 for y helps us to identify the y-intercept:
-5y = -8x + 10. Dividing both sides by -5, we get (8/5)x -2. Therefore, y = (8/5)x - 2; the y-intercept is (0,-2).
The equation </span><span>-6x-7y=-6 can be solved for its slope in the same manner.
7y = -6x + 6; then y = (-6/7)x + 6/7. Its slope is -7/6. A line perpendicular to this line has slope equal to the negative reciprocal of -7/6, which is 6/7.
So, using the slope-intercept form, y = mx + b becomes y = (6/7)x -2.</span>
Answer:
x = 8
m∠BOC = 37°
m∠AOB = 53°
Step-by-step explanation:
If OA is perpendicular to OC, this means that <AOC = 90°
Given
m∠BOC=6x−6
m ∠AOB = 5 x + 8
The expression is true
m∠BOC+m∠AOB= m∠AOC
6x-6+5x+8 = 90
Find x:
11x + 2 = 90
11x = 90-2
11x = 88
x = 88/11
x =8
Get m∠BOC:
m∠BOC= 6x-6
m∠BOC= 6(8)-11
m∠BOC = 48-11
m∠BOC= 37°
Get m∠AOB;
m∠AOB = 90-m∠BOC
m∠AOB =90-37
m∠AOB = 53°
Answer:
divide both sides of the equation by 2/3