The average lifetime of a light bulb is 3,000 hours with a standard deviation of 696 hours. A simple random sample of 36 bulbs i

Answer:

Binomial probability, with

Step-by-step explanation:

Each time Mookie Betts stepped up to bat, there were only two possible results: either he achieved a base hit or he didn't. The odds of hitting during each at-bat remain unaffected by prior attempts. Therefore, the binomial probability distribution applies to tackle this problem.

Binomial probability distribution

The chance of getting exactly x successes over n trials, considering p probability.

His batting average stood at 0.352.

This indicates that

Let's assume he bats five times in tonight's matchup against the Yankees.

This means that

a. This showcases what type of probability

Binomial probability, with

For a 560-mile journey, Mrs. Allan's car will require 20 gallons of fuel. Meanwhile, Mrs. Owen's vehicle will need 16 gallons for the same distance.

Answer:

The cabin is located 567 yards away.

Step-by-step solution:

The bearing angle of 21.2° corresponds to the interior angle near the cabin in the triangle.

Apply the tangent function:

Opposite side length: 220 yards

Adjacent side length: x (distance to cabin)

tan(21.2°) = opposite / adjacent

tan(21.2°) = 220 yards / x

Multiply both sides by x:

x × tan(21.2°) = 220 yards

Isolate x:

x = 220 yards / tan(21.2°)

x = 220 / 0.388

x = 567 yards

Hence, the cabin is 567 yards away.

Response: 87%
Solution:
87 correct answers out of 100 = 87/100 = 0.87 = (convert to percentage by shifting the decimal place two positions to the right) 87%

There are 28 combinations. Step-by-step explanation: Initially, each of the seven bins holds one ball, leaving two remaining. If both are placed in the same bin, that offers 7 options. Conversely, if each remaining ball is positioned in different bins, the combination comes down to: 21 + 7 = 28 ways.