Answer:
1. Definition of parallelogram
Step-by-step explanation:
1. Definition of parallelogram
2. Angle Congruence Postulate
3. m<2 + m<3 =180
4. m<1 + m<3 =180
5. Definition of supplementary
Answer:
0.9945 = 99.45% probability that the student answers at most four questions correctly
Step-by-step explanation:
For each question, there are only two possible outcomes. Either the student answers correctly, or he/she does not. The probability of the student answering a question correctly is independent of any other question. This means that the binomial probability distribution is used 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.
A quiz consists of six multiple choice questions.
This means that 
Each question has four choices. Student guesses randomly.
This means that 
What is the probability that the student answers at most four questions correctly?
This is:

In which
. So





0.9945 = 99.45% probability that the student answers at most four questions correctly
The answer would be 50 because it’s .38 more then 45
Answer:
270 students is the highest number of students that can attend the Planetarium field trip each day
Step-by-step explanation:
Here, we want to know the highest number of students that can attend the planetarium each day
from the question;
The highest number per group is 15 students
The highest number of group is 18 groups
So the highest number of attendees will be;
15 * 18 = 270 students