137 paquetes de vasos, aunque el último solo tiene 7 vasos, es necesario para asegurar que no queden sin empacar.
C. No, because at least one of the sample sizes exceeds 10 percent of the population.
The likelihood that Mary was the one who packed the dinner stands at 0.15625. To clarify, the probability of an event is defined as the chance that it will occur relative to the total possible outcomes. Let's analyze the problem at hand, which pertains to Conditional Probability. The formula we use generally is as follows: Let: The chance of John packing dinners without a salt packet is denoted as P(J), for Mary, it is P(M), and for Sue, it is P(S). Hence, if there's no salt in the dinner I purchased, the probability that Mary did the packing is calculated as follows.
Answer:
Marian is able to choose from 1,771 different combinations
Step-by-step explanation:
In tackling this question, we are focused on determining how many combinations Marian can select, considering there are 23 flavors available, each of which can be served in one of three options.
To figure this out mathematically, the total number of combinations is represented as 23C3
Calculating this gives us 23!/(23-3)!3! = 23!/20!3! = 1,771
Thus, she can order a total of 1,771 combinations
Solution
To find the angle m∠p.
Method of proof
In triangle ΔDAB, which is a right triangle
Applying the Pythagorean theorem gives us
Hypotenuse² = Perpendicular² + Base²
DB² = AB² + AD²
Where AB = 5 units
AD = 6 units
Substituting in the formula outcomes in
DB² = 5² + 6²
= 25 + 36
= 61

= approximately 7.8 units
The triangle ΔDCB is also right-angled.
Using the trigonometric identity here.


Given that DC = 4 units and DB ≈ 7.8 units,
Substituting these values into the trigonometric identity gives us.


Thus, we find that ∠p ≈ 59.15 °