Answer:
8, 6.
x=8 y=6
Step-by-step explanation:
-3 + 11 = +8
-5 + 11 = +6
Answer:
-10
Step-by-step explanation:
-(x-5) ^2+25
-x+5^2+25
-5 -5
-x^2+20
-2x+20
---- ----
-2 -2
x=-10
// have a great day //
Answer:
Proportion of all bearings falls in the acceptable range = 0.9973 or 99.73% .
Step-by-step explanation:
We are given that the diameters have a normal distribution with a mean of 1.3 centimeters (cm) and a standard deviation of 0.01 cm i.e.;
Mean,
= 1.3 cm and Standard deviation,
= 0.01 cm
Also, since distribution is normal;
Z =
~ N(0,1)
Let X = range of diameters
So, P(1.27 < X < 1.33) = P(X < 1.33) - P(X <=1.27)
P(X < 1.33) = P(
<
) = P(Z < 3) = 0.99865
P(X <= 1.27) = P(
<
) = P(Z < -3) = 1 - P(Z < 3) = 1 - 0.99865
= 0.00135
P(1.27 < X < 1.33) = 0.99865 - 0.00135 = 0.9973 .
Therefore, proportion of all bearings that falls in this acceptable range is 99.73% .
Answer:
132.233 ft2
Step-by-step explanation:
Let's call the width of the rectangle 'w' and the length 'x'. So the area of the semicircle is:



And the area of the rectangle is:

If the perimeter of the window is 41 feet, we have:



Now, the equation for the total area of the window is:



To find the maximum area, we can find the x-coordinate of the vertex of the quadratic equation:

So the width that gives us the maximum area of the window is 6.45 feet, and the area will be:
