Answer:
0.818
Step-by-step explanation:
Since the shipment has a ton of aspirin tablets, we can assume that we pick 13 of them <em>with</em> <em>reposition, </em>because the probability shoudn't change dramatically from the probability of picking without reposition if we do so.
We call D the amount of defective tablets. If we assume that we pick the tablets with reposition, then we obtain that D is a random variable of Binomial distribution with parameters 13 and 0.6 (the probability of picking a defective tablet).
We want D to be at most one. To calculate the probability of that event we add up the probability of D being equal to 0 and the probability of D being equal to one. Since D is binomial, we have
We conclude that

Hence, the shipment will be accepted with probability 0.818
<em>I hope this helps you!</em>
Answer:
Step-by-step explanation:
=-65*5
=-325
Answer:
B
Step-by-step explanation:
The composite figure consists of a triangle and a semicircle.
The area (A) of the triangle is calculated as
A = 0. 5 bh ( b is the base and h the perpendicular height )
here b = 2 × 4 = 8 and h = 3, thus
A = 0.5 × 8 × 3 = 12 in²
The area (A) of the semicircle is calculated as
A = 0.5πr² ← r is the radius = 4, thus
A = 0.5π ×4² = 0.5 = 0.5π × 16 = 8π
Sum the 2 areas together for area of composite shape, that is
area of composite shape = ( 8π + 12 ) in² → B