Answer:
0.097 is the probability that the entire batch will be rejected
Step-by-step explanation:
The total number of CDs = 6500
Number of defective CDs = 110
Number of good CDs = 6500-110 = 6390
Out of this batch, 6 are randomly selected, then the probability that the entire batch is rejected is
1 – [probability of accepting the entire batch]
1 – [6390/6500 * 6389/6499*6388/6498*6387/6497*6386/6496*6385/6495]
= 0.097
Answer:
z=44
Step-by-step explanation:
One way to go about this with the given angles is to use the alternate interior angles theorem to find the full measure of ∠C and ∠A. Then, use the same theorem to set ∠BDA as 52°. Subtract all the angle measures from 360 (because the sum of the interior angles of a quadrilateral is = 360 degrees). Then divide the result by 2.
360-84-84-52-52=88
=88/2
=44
So z=44°
(x + 3) (x + 2) = 0
To solve it, the most appropriate technique is:
1.) zero product property
The solutions are:
(x + 3) = 0
x = -3
(x + 2) = 0
x = -2
x² + 6 = 31
To solve it, the most appropriate technique is:
2.) square root property
x² = 31-6
x² = 25
x = +/- root (25)
x = +/- 5
The solutions are:
x = 5
x = -5
