Answer:
The correct options are A and B.
Step-by-step explanation:
The angles are represented by three capital letters like: ABC or DEF. In these names middle letter represent the vertex of the angle.
The order or first and last letter does effect the angle. It means
We have to find the angle with a vertex at Y. It means the middle letter must be Y.
In option A and B the middle letter is Y, therefore both options are correct.
In option C and D the middle letter is not Y, therefore both options are incorrect.
Answer:
a> -32
Step-by-step explanation:
-40 < 2(a +12)
-40 < 2(a) +2(12) <em>(</em><em>expand</em><em>)</em>
-40 < 2a +24
-40 -24 < 2a <em>(</em><em>bring</em><em> </em><em>constant</em><em> </em><em>to</em><em> </em><em>one</em><em> </em><em>side</em><em>)</em>
-64 < 2a <em>(</em><em>simplify</em><em>)</em>
2a > -64
a > -64 ÷2
a > -32
Answer:
Step-by-step explanation:
Question 3
5 (k + 4) - 2k
Use distributive property of multiplication.
5k + 20 -2k
Combine like terms to get your answer.
3k +20
Question 4
2 (3 + d - 1)
Simplify the expression in the parenthesis.
2 (2 + d)
Use distributive property of multiplication.
4 + 2d
If you wanted it to be accepted at higher levels, switch the terms around.
2d + 4
14)(4^{2}+2) x 3 = 54
put the paranthesis around 4 squared and 2
15)a natural number is always a whole number, however, a whole number is not always a natural
16) 10, because natural numbers can only be positive, also, zero is not a natural number
17) 3, for abc/abc will equal 1, leaving 3 x 1 = 3
18) No, for if it is division or multiplication, it will have completely different results
19) (x times y) times z ; x times (y times z) ; x times y times z
hope this helps :D
Answer:
The spinner has 6 equal-sized slices, so each slice has a 1/6 probability of showing up.
I guess that we want to find the expected value in one spin:
number 1: wins $1
number 2: wins $3
number 3: wins $5
number 4: wins $7
number 5: losses $8
number 6: loses $8
The expected value can be calculated as:
Ev = ∑xₙpₙ
where xₙ is the event and pₙ is the probability.
We know that the probability for all the events is 1/6, so we have:
Ev = ($1 + $3 + $5 + $7 - $8 - $8)*(1/6) = $0
So the expected value of this game is $0, wich implies that is a fair game.
