The function f(x) = −x2 − 5x + 50 shows the relationship between the vertical distance of a diver from a pool's surface f(x), in

Answer:

Hours

Step-by-step explanation:

This is an incorrect figure.

Response:

m(n) = 60000

Amount = 60000/n

Step-by-step breakdown:

Provided

Budget = 60000

Solving part (a) as a function mn

To achieve this, simply substitute m(n) for the budget amount.

This results in;

m(n) = 60000

Solving part (b) for the amount each committee is allocated.

Given that the budget will be evenly split.

Amount = m(n)/n

Replace m(n) with 60000

Amount = 60000/n

Answer:

The answer is option (A).

Step-by-step explanation:

Let X represent the count of orange milk chocolate M&M’s.

The proportion of orange milk chocolate M&M’s is defined as p = 0.20.

In a small bag containing milk chocolate M&M’s, n is established at 55.The occurrence of an orange milk chocolate M&M is independent of the remaining candies.

The random variable X conforms to a Binomial distribution characterized by parameters n = 55 and p = 0.20.

Calculating the average number of orange milk chocolate M&M’s in a package of 55 candies proceeds as follows:

It is noted that in a randomly selected pack of milk chocolate M&M's there were 14 orange M&M's, indicating that the ratio of orange milk chocolate M&M's in that selection was 25.5%.

This ratio is not unexpected.

This is due to the expected count of orange milk chocolate M&M’s in a 55 candy bag being estimated at 11. Therefore, encountering 14 orange milk chocolate M&M’s does not seem unusual.

Unusual instances typically have exceedingly low probabilities, specifically below 0.05.

To calculate the probability of having P (X ≥ 14), follow the subsequent calculation:

The likelihood of obtaining 14 or more orange candies in a milk chocolate M&M’s bag is 0.1968.

This probability is considerably higher than 0.05.

Thus, the correct answer is option (A).

Hi! I arrived at the answer of 15%. Step-by-step explanation: 1. A useful formula for calculating percentage increase is: ((New Number - Old Number) / Old Number )*100 = Percentage Increase. 2. Thus, (3.68 - 3.20) / 3.20 = 0.15. 3. Then, multiplying 0.15 by 100 yields 15%. I hope this is helpful!