Answer: No. Jamies reasoning doesn't make any sense.
Counter example Emmie decides to go on walk on every 4th day and go for gym on every 2nd day in a month.
Then Emmie will do both the things on same day = LCM (4,2)
Now, LCM of 4 and 2 = 4
Therefore, Emmie will do both the things on 4th day of the month .
Step-by-step explanation:
Jamie's reasoning doesn't make any sense.
Because the LCM of 3 and 6 = 6 not 18[since 6=3×2]
LCM is the least common multiple number of two or more numbers.
yea- hope it helps
Answer: D. (x+5)/(x-3)
Step-by-step explanation:
Domain = Set of all input values of a function.
range = set of all output values of a function.
Given: Domain: 
; range = 
We do not include a value for domain if it makes the expression indeterminant .
Since all the functions in options are fractions, here the denominator does not equal to 0.
But in option C and D, the denominator can be zero if x=3.
So , domain for then it 
Also, for option C if 
.which is not true.
Wher as in option D, 
Hence, Domain: ; range = is for option D.
3x + 2y = 3. subtract 3x from both sides, so you get 2y = -3x + 3 . then you divide by 2 to both sides , so you get y = -3/2x + 3/2 .
1. This question refers to conditional probability and is asking us to find the probability of Q occurring, given that R occurs. What this means is that we must divide the probability of Q and R occurring by the probability of R occurring (this is because we have the condition that R occurs). This may be written as such:
Pr(Q|R) = Pr(Q ∩ R) / Pr(R)
2. Now, the first step is to find Pr(Q ∩ R). This is given by the value in the centre of the Venn Diagram (ie. in the cross-over between the two circles) divided by the total of all the values:
Pr(Q ∩ R) = 3/(8 + 3 + 4 + 22)
= 3/37
3. The next step is to find Pr(R). This is given by the value in the circle denoted R (including the cross-over with Q) divided by the total of all the values.
Pr(R) = (4 + 3)/(8 + 3 + 4 + 22)
= 7/37
4. Thus, we can now subtitute the probabilities we defined in 2. and 3. into the formula for conditional probability we defined in 1.:
Pr(Q|R) = (3/37) / (7/37)
= 3/7
Thus, the answer is B.
Note that technically there is no need to write out the full probabilities before coming to this answer. The same exact answer could be found by using Pr(Q ∩ R) = 3 and Pr(R) = 7. This works because they are part of the same universal set - in other words, since the total of all the values in the Venn Diagram remains constant, the denominators of the two probabilities would be the same (given that no cancelling is done) and these denominators would be cancelled out when dividing Pr(Q ∩ R) by Pr(R). This can be particularly useful for a multiple choice question such as this one.
Answer:
f(g(x)) = 12x - 37
Step-by-step explanation:
Step 1: Define
f(x) = 6x + 5
g(x) = 2x - 7
Step 2: Find f(g(x))
f(g(x)) = 6(2x - 7) + 5
f(g(x)) = 12x - 42 + 5
f(g(x)) = 12x - 37
