Answer:
(a) 0.0833 or 8.33%
(b) 0.40 or 40%
Step-by-step explanation:
Parts line one (n1) = 1,000 parts
Defects line one (d1) = 100 parts
Parts line two (n2) = 2,000 parts
Defects line two (d2) = 150 parts
Total number of parts (n) = 3,000 parts
a. Probability of a randomly selected part being defective:

The probability is 0.0833 or 8.33%
b. Probability of a part being produced by line one, given that it is defective:

The probability is 0.40 or 40%.
ANSWER
The equation of the new parabola is

EXPLANATION
The given parabola has equation:

If this parabola is reflected in the x-axis, its equation becomes :

When this parabola is scaled vertically by a factor of 5, the equation becomes,

10.7
23.7-10=10
that r the maths
Answer:
<u>The rabbit could be at eight different numbers of the number line:</u>
<u>-7, - 5, - 3, - 1, 1, 3, 5, and 7.</u>
Step-by-step explanation:
Let's simulate each of the jumps of the rabbit in all the possible directions, as follows:
Option 1: - 4 - 2 - 1 = -7
Option 2: - 4 - 2 + 1 = -5
Option 3: - 4 + 2 - 1 = - 3
Option 4: - 4 + 2 + 1 = - 1
Option 5: 4 - 2 - 1 = 1
Option 6: 4 - 2 + 1 = 3
Option 7: 4 + 2 - 1 = 5
Option 8: 4 + 2 + 1 = 7
You could say 360(36.25)=13050° but all of the trigonometric relationships will still just obey that angle which is the fractional part because each rotation returns you to the positive x axis. The resulting angle is just .25(360)=90°.
So 13050° is the total angular rotation and 90° is the relative position with respect to the starting point.