Step-by-step explanation:
Multiply both sides by 9 and you will get

or

Solving for h, we get

Answer: no cheating on the state test
Step-by-step explanation:
<u>Complete Question</u>
The table shows the number of grade 7 and grade 8 students on the student council at Jeremy’s school.
Number of Students
- Grade 7 - 17
- Grade 8 - 34
Answer:
C- The number of outcomes representing each grade level does not change after the first student is chosen.
Step-by-step explanation:
The ratio of Grade 7 students to Grade 8 students is:
17:34
This written in reduced form is 1:2
Therefore, initially, the six parts of the cube can be divided into the ratio 2:4 which Jeremy did.
However, after the first selection of a student, the ratio of Grade 7:Grade 8 student changes since the same student cannot be chosen more than once.
Therefore the cube rolls represent only the first student choice and may not be accurate for subsequent rolls.
The correct option is C.
Answer: t=20°
Step-by-step explanation:
1. By definition, the sum of the interior angles is 180 degrees.
2. Keeping the information above on mind, you can write the following expression:

3. Now, you must solve for
as following:

4. Therefore, the value of
is 20°
Answer:
P(X= k) = (1-p)^k-1.p
Step-by-step explanation:
Given that the number of trials is
N < = k, the geometric distribution gives the probability that there are k-1 trials that result in failure(F) before the success(S) at the kth trials.
Given p = success,
1 - p = failure
Hence the distribution is described as: Pr ( FFFF.....FS)
Pr(X= k) = (1-p)(1-p)(1-p)....(1-p)p
Pr((X=k) = (1 - p)^ (k-1) .p
Since N<=k
Pr (X =k) = p(1-p)^k-1, k= 1,2,...k
0, elsewhere
If the probability is defined for Y, the number of failure before a success
Pr (Y= k) = p(1-p)^y......k= 0,1,2,3
0, elsewhere.
Given p= 0.2, k= 3,
P(X= 3) =( 0.2) × (1 - 0.2)²
P(X=3) = 0.128