a) The specified probability distribution is b) 0.5, representing a 50% chance that X assumes a value between 21 and 25. c) 0.25 denotes a 25% likelihood that X takes on a value of at least 26. A uniform probability distribution encompasses two limits, a and b. The probability of obtaining a value lower than x is calculated accordingly. Also, the likelihood of finding a value between c and d is defined in correlation with the observed uniform distribution ranging from 20 to 28.
Answer:
The top surface area of the washer equals 160.14 square millimeters.
Step-by-step Explanation:
The washer's top surface forms an annulus, characterized by an outer radius of 10 mm and an inner radius of 7 mm (obtained since the hole's diameter is 14 mm and the radius is half the diameter).
Recall the formula for the area of an annulus:

where R is the outer radius and r the inner radius.
Substituting the given values:

Thus, the calculation yields:

Revenue must be greater than Cost: R(x) > C(x), which translates to 0.50x > 10 + 0.20x. After simplification: 0.50x - 0.20x > 10, leading to 0.30x > 10. Therefore, x > 10/0.30 which gives x > 33.333. Rounding up, we find x = 34, meaning at least 34 cups of lemonade must be sold for revenue R(x) to exceed cost C(x). The answer is 34.
Given that the total amount is 150 and the weekly savings amount to 12, the equation can be established as follows: T = Total, 150$ W = Amount saved, 12$ which leads to 150 = 12*X or alternatively, 150/12 = X. Therefore, X equals 12.5 weeks. Thus, the answer can be expressed as 12 weeks, 3 days, and 12 hours (X=12.5).
I'm fairly confident it's A.