g In a survey of 500 residents, 300 were opposed to the use of the photo-cop for issuing traffic tickets.The standard error of t

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:

Response:

The likelihood that fewer than 8 of the sampled adults use glasses or contact lenses is 0.4745.

Detailed explanation:

We have the following information:

Considering adults wearing glasses or contact lenses a success.

P(Adults use glasses or contact lenses) = 75% = 0.75

Hence, the number of adults follows a binomial distribution, represented as:

with n as total observations, x as successful outcomes, and p as success probability.

For our case, n = 10

We need to calculate:

P(fewer than 8 adults wear glasses or contact lenses)

0.4745 is the probability of having fewer than 8 of the selected adults utilizing glasses or contact lenses.