Answer:
Reason:
1) assumptions given
2) RUTS is a rectangle
3) RUTS is a rectangle
4) because:
+) ∠STU and ∠SRU are the right angles
+) RU = ST; UT = RS
=> ΔURS ≅ ΔSTU (SAS)
5) because ΔURS ≅ ΔSTU (SAS) => ∠USR = ∠SUT
Step-by-step explanation:
Answer:
A composite number has more than two factors. In this case, the number 13233345364715 has more than two factors, so it is composite.
Step-by-step explanation:
Numbers can be classified as prime or composite. Prime numbers have only two factors, 1 and the number itself. For example, 13 is a prime number because only 1 and 13 can be multiplied together to get 13. However, a composite number has more than two factors. In the case of the numer 13233345364715, I know that there are more than two factors because the number ends in 5, which means it has a factor of 5. To confirm, divide 13233345364715/5 = 2646669072943. This large of a number may also have other factors, however, since you now know it has at least four factors, it is composite.
Answer:
a) p=0.2
b) probability of passing is 0.01696
.
c) The expected value of correct questions is 1.2
Step-by-step explanation:
a) Since each question has 5 options, all of them equally likely, and only one correct answer, then the probability of having a correct answer is 1/5 = 0.2.
b) Let X be the number of correct answers. We will model this situation by considering X as a binomial random variable with a success probability of p=0.2 and having n=6 samples. We have the following for k=0,1,2,3,4,5,6
.
Recall that 
In this case, the student passes if X is at least four correct questions, then
c)The expected value of a binomial random variable with parameters n and p is ![E[X] = np](https://tex.z-dn.net/?f=E%5BX%5D%20%3D%20np)
. IN our case, n=6 and p =0.2. Then the expected value of correct answers is 
