Answer:
y = -
x + 10
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mc + c ( m is the slope and c the y- intercept )
Here m = -
and crosses the y- axis at (0, 10 ) ⇒ c = 10
y = -
x + 10 ← equation of line
Answer:
The estimate of the proportion of people who pass out at more than 6 Gs is 0.279.
Step-by-step explanation:
Estimate of the proportion of people who pass out at more than 6 Gs.
Number of people who passed out divided by the size of the sample.
We have that:
Sample of 502 people, 140 passed out at G forces greater than 6. So the estimate is:

The estimate of the proportion of people who pass out at more than 6 Gs is 0.279.
(See the imagine for reference)
Let’s solve where they have a triangle, so the height is 9 cm, the base is 3 cm:
1/2 • 9 • 3 = 13.5
Since there’s 2 triangles we do:
13.5(2) = 27
Now the rectangle in the middle, where the height is 9cm and the base is 12cm:
12 • 9 = 108
Add up the areas:
108 + 27 = 135
6 cds total was 85.75 and there was a 5.04 tax so take 85.75 - 5.04 = 80.70
80.70÷6= 13.45
The cost function is
c = 0.000015x² - 0.03x + 35
where x = number of tires.
To find the value of x that minimizes cost, the derivative of c with respect to x should be zero. Therefore
0.000015*2x - 0.03 = 0
0.00003x = 0.03
x = 1000
Note:
The second derivative of c with respect to x is positive (= 0.00003), so the value for x will yield the minimum value.
The minimum cost is
Cmin = 0.000015*1000² - 0.03*1000 + 35
= 20
Answer:
Number of tires = 1000
Minimum cost = 20