Answer:
BC = 5.87
Step-by-step explanation:
Reference angle = 50°
Side Opposite to reference angle = 7
Adjacent side = BC = ?
Apply trigonometric function, TOA, thus:
Tan 50 = Opp/Adj
Tan 50 = 7/BC
BC × Tan 50 = 7
BC = 7/Tan 50
BC = 5.87369742 ≈ 5.87 (nearest hundredth)
Using the arrangements formula, it is found that there are 24 ways for them to stand in line so that the youngest person is always first, and the oldest person is always last.
<h3>What is the arrangements formula?</h3>
The number of possible arrangements of n elements is given by the factorial of n, that is:

In this problem, we have that there are 6 people. The youngest person(Leslie) has to be first, while the oldest(Parvinis) has to be last, while the remaining 4 can be arranged, hence the number of ways for them to stand in line is given by:

More can be learned about the arrangements formula at brainly.com/question/24648661
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What are you trying to find? Area, Volume, Circumference, or perimeter?
Answer:
95% Confidence interval for the mean

Step-by-step explanation:
We have to calculate a 95% confidence interval for the mean of a finite population.
The error is multiplied by the following finite population correction factor:

The standard deviation can be estimated as

The 95% confidence interval has a z value of 1.96, so it becomes:

Answer; 8.75
Explanation;
Hope this helps