Answer:
c is 30.
The angles, from left to right, are:
66, 94, and 20.
Step-by-step explanation:
The three angles form a straight angle. In other words, they sum to 180. So, we can write the following equation:
Let's solve for c. Combine like terms:
Add:
Subtract 15 from both sides:
Divide both sides by 5.5:
So, the value of c is 30.
Now, substitute it into each of the angles to find their respective measures.
Left-Most Angle:
We have:
Substitute 30 for c. This yields:
Multiply and add:
Middle Angle:
We have:
Substitute 30 for c:
Multiply and add:
Right-Most Angle:
We have:
Substitute 30 for c:
Multiply and add:
So, our angles, from left to right, are: 66, 94, and 20.
And the value of c is 30.
And we're done!
Answer: His semimonthly salary is $2,680.54.
Step-by-step explanation:
64,333/12 = 5,361.08
5,361.08/2 = 2,680.54
Using the binomial distribution, it is found that there is a 0.0328 = 3.28% probability that at least 2 of them choose the same quote.
<h3>What is the binomial distribution formula?</h3>
The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem, we have that:
- There are 6 students, hence n = 6.
- There are 20 quotes, hence the probability of each being chosen is p = 1/20 = 0.05.
The probability of one quote being chosen at least two times is given by:
In which:
P(X < 2) = P(X = 0) + P(X = 1).
Then:
Then:
P(X < 2) = P(X = 0) + P(X = 1) = 0.7351 + 0.2321 = 0.9672.
0.0328 = 3.28% probability that at least 2 of them choose the same quote.
More can be learned about the binomial distribution at brainly.com/question/24863377
Answer:
Restaurant A served a greater variety of ages than Restaurant B, because the range of date for Restaurant A is greater than that of Restaurant B.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
The answer is B I just had this question