Pls help! i got A is that correct?

In order to utilize the leftover stock properly, the company must package the Zena's product, committing to include one of Xavier's product in each bundle. The Xavier set consists of one blue and one black ink refill, while the Yvonne set comprises two blue, three black, and one red ink refill, whereas the Zena set contains four blue, five black, and one red ink refill. The company has 11 blue, 14 black, and 3 red ink cartridge refills available. Thus, forming equations based on existing inventory would yield the required quantities for optimal packaging without any leftover supplies.

The equation of the perpendicular line can be identified by determining its slope and applying the given point within the standard formula.

Standard equation: y-y1 = m(x-x1)

m*m'=-1
where m' indicates the slope of the perpendicular line
m denotes the slope of the original line

m = -coefficient of x/coefficient of y = -4/-3 = 4/3
m' = -3/4

Substituting the point (3, -2):
y+2 = -3/4*(x-3)
4y+8 = -3x+9

Thus, the equation of the perpendicular line is: 3x+4y-1=0

To find a122 in the sequence beginning with 5, 8, 11, we recognize this series is arithmetic.

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).

Answer:

5.25ft below the waterline

Step-by-step explanation:

1. I entered the given equation into a graphing calculator (I use Desmos) and substituted "t" with "x" since it’s easier that way.

2. A graph appeared. To find the initial position of the paddle, I checked where it was at t=0, which is the y-intercept. It shows it’s at -5.25, indicating it sits 5.25 below the surface of the water.