This means triangles BAC and DAC are a pair of angle-angle-side triangles, so they are congruent to one another. Corresponding parts of congruent triangles are congruent, so the line segments BC and DC are congruent and have the same length.
Then
Answer:
a. p = 0.25
b. n = 10, p = 0.25.
c. n = 10, p = 0.25.
d. n = 20, p = 0.25.
Step-by-step explanation:
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.
a. For any single question on the quiz, what is p = chance of a correct guess?
4 options, 1 of which is correct. So
So p = 0.25.
b. Let X = number of correct guesses that Isabelle makes. What are the values of n and p for the binomial distribution that describes X?
Should be Ed here.
Ed guesses answers for the first 10 questions
This means that .
p is the same, so n = 10, p = 0.25.
c. Let Y = number of correct guesses that Taylor makes. What are the values of n and p for the binomial distribution that describes Y?
10 question, so , p is the same.
d. Consider X + Y = total correct guesses that Isabelle and Taylor make. What are the values of n and p for the binomial distribution that describes X + Y?
20 questions, so
10 for Ed, with 0.25 probability, 10 for Taylor, with 0.25 probability. So
So n = 20, p = 0.25.
We need slope
Take 2 points