Answer:
It is not. 5 would be the momomial. Including the /x makes in not a monomial.
Step-by-step explanation:
If the line passes through the points (-5,2) and (10,-1), then the equation of the line will be y= -1/5x+1
Answer:x=15
Step-by-step explanation:
You should collect the like terms first
21-6=x
Therefore
X=15
Answer:
The sample size is 1875.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
The margin of error is:

Sampling error of 0.03.
This means that 
99.74% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
25% of all adults had used the Internet for such a purpose
This means that 
What is the sample size
The sample size is n. So



Simplifying by 0.03 both sides



The sample size is 1875.
Answer:
probability that the student knew the answer given that he answered the question correctly is 0.7742 (77.42%)
Step-by-step explanation:
a student can get the question right in 3 ways:
- knowing the answer with probability 0.5
- eliminating one of the 4 choices and guessing with the remaining 3 with probability 0.25
- or guessing from the 4 choices with probability 0.25
then defining the event R= getting the answer right , we have
P(R)= probability of knowing the answer*probability of getting the question right if knowing the answer + probability of eliminating one answer* probability of getting the question right if eliminates one answer + probability of guessing the 4 choices * probability of getting the question right if guessing the 4 choices
thus
P(R)= 0.5*1 + 0.25* 1/3 + 0.25*1/4 = 0.6458
then we use conditional probability through the theorem of Bayes. Defining K= student knew the answer
then
P(K/R) = P(K∩R) /P(R) = 0.5*1/0.6458 = 0.7742 (77.42%)
where
P(K∩R) = probability that the student knew the answer and answers the question correctly
P(K/R)= probability that the student knew the answer given that he answered the question correctly