The answer is the first one in the options
Answer: the correct options are b and d.
Step-by-step explanation:
Let us first define what mutually exclusive events are. If two events are mutually exclusive, it means that they cannot happen at the same time. For example, getting a head and a tail at the same time are mutually exclusive.
Considering a single spin of the spinner, the events that are mutually exclusive are
b)landing on a shaded sector and landing on a 3. This is because 3 is unshaded. You can either land on 3 or an unshaded sector at a time
d)landing on an unshaded sector and landing on a number less than 2. This is because the numbers in the unshaded sectors are greater than 2.
Answer:
1/2 (x+5) = 36 should be the equation that is used to determine how many rocks George started with.
Step-by-step explanation:
Let 'x' be the number of rocks George had.
As George gave, after getting 5 new rocks, half of his rock collection to Susan which is = 36 rocks
It means after getting 5 new rocks George's total rocks = 72
Given that he gave half collection to Susan = 36
Thus, before inducting 5 new rocks Georg's total rocks were = 67
Thus,
1/2 (x+5) = 36 should be the correct equation.
solving
1/2 (x+5) = 36
Multiplying both sides by 2
1/2 (x+5) × 2 = 36 × 2
x+5 = 72
x = 72 - 5
x = 67
Thus, before getting 5 new rocks, the number of rocks George had = 67
Therefore,
1/2 (x+5) = 36 should be the equation that is used to determine how many rocks George started with.
Answer:
(3^6)/2
Step-by-step explanation:
make sure everything as the numerator is in parenthesis
Given:
Vertices of a square are A(-4,6), B(5,6) C(4,-2), and D(-5,-2).
To find:
The intersection of the diagonals of square ABCD.
Solution:
We know that diagonals of a square always bisect each other. It means intersection of the diagonals of square is the midpoint of diagonals.
In the square ABCD, AC and BD are two diagonals. So, intersection of the diagonals is the midpoint of both AC and BD.
We can find midpoint of either AC or BD because both will result the same.
Midpoint of A(-4,6) and C(4,-2) is
Therefore, the intersection of the diagonals of square ABCD is (0,2).
