Alex and Leandro purchase two matinee movie tickets . A matinee ticket costs $6.50, a drink costs $5.50,and a bag of popcorn cos

Answer:

Step-by-step explanation:

First, we apply the Pythagorean theorem to determine the distance from Manuel’s home to the resort.

S1 = √50²+20²

S1 = √2500+400

S1 = √2900

S1 = 53.85m

Next, we find the distance from Manuel's home to his friend’s residence.

S2 = √15²+10²

S2 = √225+100

S2 = √325

S2 = 18.03m

The distance between the two boys and the resort will be represented as ∆S = S2 - S1.

∆S = 53.84 - 18.03

∆S = 35.81m

Answer:

box 1: monomial

box 2: binomial

Step-by-step explanation:

rationale: The volume of Box 1 is represented by a monomial multiplied by another monomial, resulting in a monomial.

Conversely, the volume of Box 2 is represented by a monomial multiplied by a binomial, producing a binomial.

Answer:

a) The likelihood that none of the sampled employees are from the Hawaii plant is 1.74%.

b) The chance that exactly 1 employee from the sample is found working in the Hawaii plant is 8.70%.

c) There is an 89.56% chance that 2 or more employees in the sample are from the Hawaii plant.

d) The probability that 9 employees from the sample are working at the Texas plant is 8.70%.

Step-by-step explanation:

Each employee has two potential employment locations: either Texas or Hawaii. Thus, the binomial probability distribution can be utilized to solve this scenario.

Binomial probability distribution

This distribution defines the probability of achieving exactly x successes in n trials where there are only two outcomes.

Here, denotes the number of ways to choose x objects from a set of n, represented by the subsequent formula.

And p is the probability of success occurring.

In this context, we know:

The sample comprises 10 employees, therefore .

a. Calculate the probability that none of the sampled employees are from the Hawaii plant (to 4 decimals)?

Given that 20 out of 60 employees are based in Hawaii:

We aim to find P(X = 0).

Thus, the likelihood that none in the sample are from Hawaii stands at 1.74%.

b. Calculate the probability that 1 employee from the sample is from the Hawaii plant?

This is represented as P(X = 1).

Therefore, there is an 8.70% possibility that 1 employee in the sample comes from Hawaii.

c. Calculate the probability that 2 or more employees in the sample are from the Hawaii plant?

We can observe two scenarios: either fewer than 2 employees are from Hawaii or 2 and beyond. The combined probabilities equal decimal 1. So:

We seek to find .

From problems a and b, we possess values for both probabilities.

Accordingly, the chance that 2 or more employees in this sample operate at the Hawaii plant is 89.56%.

d. Calculate the likelihood that 9 employees in the sample are working at the Texas plant?

This corresponds to the probability found in part b for 1 employee working in Hawaii.

Consequently, there is an 8.70% chance that 9 employees belong to the Texas plant.

Answer E is correct, as when rounded to 3 mph and divided by 2, it yields 1.5. Since an hour consists of 60 minutes, halving that gives 30 minutes. However, because you walked a bit slower, it would actually take 5 additional minutes.