Answer:
So basically anything higher than .5 would be x>.5 so it has to be greater than or equal to .51
Step-by-step explanation:
.51 .75 .89 .56 .78 .86 .61 it goes on and on as long as it is greater than .50
Answer:
y=3(x+3)^2-8
Step-by-step explanation:
Vertex form:
y=a(x-h)^2+k
h=-3, k=-8
y=a(x+3)^2-8
sub (-4,-5)
-5=a(-4+3)^2-8
a=3
y=3(x+3)^2-8
Answer:
x = 15, Angles are both 130!
Step-by-step explanation:
Since this is an example of Alternate Exterior Angles, you could set these equal to eachother!
9x-5 = 7x + 25
-7x -7x
Subtract 7x from both sides.
2x - 5 = 25
+5 +5
Add 5 to both sides.
2x = 30
Divide by two to get x by itself .
x = 15, now you can plug this in for X and get the angle
9(15) - 5 = 130
Answer:
The average repair cost per saw for the past month is 20.
The bound of error of estimation is ±10.
Step-by-step explanation:
a) Data and Calculations:
Industry No.of saws Total repair cost Average
for past month
1 3 50 16.67
2 7 110 15.71
3 11 230 20.91
4 9 140 15.56
5 2 60 30
6 12 280 23.33
7 14 240 17.14
8 3 45 15
9 5 60 12
10 9 230 25.56
11 8 140 17.50
12 6 130 21.67
13 3 70 23.33
14 2 50 25
15 1 10 10
16 4 60 15
17 12 280 23.33
18 6 150 25
19 5 110 22
20 8 120 15
Total 130 2,565 19.73
Average = Sum of the total repair cost for past month divided by the number of saws repaired
= 19.73 (2,565/130)
= 20
The bound on error of estimation = the difference between the upper bound of the interval and the calculated mean
= 30 - 20
= 10
The lower bound = 10
The bound of error is also = (30 -10)/2 = 10
Answer:
The equation of the line is 4y = -x + 19
Step-by-step explanation:
Firstly, we need to get the slope of the line;
Since it is through two points; we have the slope as;
y2-y1/x2-x1 = (5-3)/(-1-7) = 2/-8 = -1/4
Mathematically, we can write the equation of a straight line line as;
y = mx + c
So we have;
y = -1/4x + c
y = -x/4 + c
To complete the equation, we need the value of c.
we can choose any of the points and insert the x and y value
Thus;
3 = -7/4 + c
c = 3 + 7/4
c = 19/4
So our equation becomes;
y = -x/4 + 19/4
Multiply through by 4
4y = -x + 19