Answer:
∠Y = 104°
Step-by-step explanation:
vertical angles are equal ⇒ ∠DAN = ∠SAY = 48°
Sum of interior angles of a triangle = 180°
⇒ ∠SYA + 56 + 48 = 180
⇒ ∠SYA = 76°
Angles on a straight line add up to 180°
⇒ ∠Y + ∠SYA = 180°
⇒ ∠Y + 76 = 180
⇒ ∠Y = 104°
It can be defined by the equation.
The system has one solution, so it is consistent independent. The graphs intersect at the point (2, 8), which can be checked algebraically.
Complete a table of values for each line.
The point (2, 8) is the solution to the system of equations. Since (2, 8) is the solution to the system of equations, Lucia has 2 dimes
and 8 nickels.
hope it helps :) feel free to ask anymore questions
Answer:
5.96% probability that exactly 3 people in the sample are afraid of being alone at night.
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they are afraid of being alone at night, or they are not. The probability of a person being afraid of being alone at night is independent of any other person. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
5% of Americans are afraid of being alone in a house at night.
This means that 
If a random sample of 20 Americans is selected, what is the probability that exactly 3 people in the sample are afraid of being alone at night.
This is P(X = 3) when n = 20. So


5.96% probability that exactly 3 people in the sample are afraid of being alone at night.