Answer:
-122.5
Step-by-step explanation:
Difference = 7 - 4 = 3 terms; 8.75 - (-70) = 78.75
1 term → 78.75/3 = 26.25
therefore, u2 = - 70 - 2(26.25) = -122.5
Topic: Patterns + Common difference
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Answer:
7/10 or 0.7
Step-by-step explanation:
The first step that you need to do is to convert 5.6 to a fraction. 5.6 can be rewritten as 
, which is equal to 
.To multiply two fractions together, you simply need to multiply together the numerators and then the denominators. 
. Hope this helps!
Answer: G
Step-by-step explanation:
It said it was correct when I turned it in
The range of the given relation is D. R = {-1, 3, 5, 8}.
Step-by-step explanation:
Step 1:
The range of a relation is the second set of values while the domain constitutes the first set of values.
There are 4 given relations with two sets of values so there would be 4 domain values and 4 range values.
Step 2:
The range of (1, -1) = -1,
The range of (2, 3) = 3,
The range of (3, 5) = 5,
The range of (4, 8) = 8.
Combining these values we get the range as {-1, 3, 5, 8} which is option D.
Answer:
P(A) = 44.44%
P(B) = 50%
P(B|A) = 37.5%
P(B|A) different from P(B).
A and B are independent.
Step-by-step explanation:
If we have a total of 180 students, and 80 of them have a Playstation, we have that P(A) = 80/180 = 0.4444 = 44.44%
If we have 90 students that have a Xbox, we have that P(B) = 90/180 = 0.5 = 50%
If we have 30 students that have both consoles, we have that P(A and B) = 30/180 = 0.1667 = 16.67%
To find P(B|A), we will find for a student that has an Xbox inside the group of students that has a Playstation, that is, we have 30 students in a total of 80 students, so P(B|A) = 30/80 = 0.375 = 37.5%
P(B|A) is different from P(B), the first is 37.5% and the second is 50%, so events A and B are independent events.
