Answer:
6 3/5 would become 33/5
Step-by-step explanation:
2 + 4 = 6
2/5 + 1/5 = 3/5
6 * 5 = 30
30 + 3 = 33
33/5
Answer:
W=5
Step-by-step explanation:
W=Width=Length + 1
L = Length
Area = Length * Width = 20
Area = L * W = L * (L+1) = 20
Distribute the L: L^2 + L = 20
Subtract 20 from both sides: L^2 + L -20 = 20-20
Simplify: L^2+L-20=0
Factor (L-4)(L+5)=0
Solve using the zero property: L-4=0, L=4 L+5=0, L=-5
The two options for length are 4 and -5. Only 4 will work for L since it cannot be negative. Width is Length + 1 = 5
Let n = total boxes (5)
Probability (p) = 1 out of 4 = 1/4 = 0.25
Probability she wins at most 1 out of 5 is p(x <=1) Which is also = p (x =0) + p(x=1)
Probability of not winning would be 0.75 ( 1-0.25)
No prizes in 5 boxes = 0.75^5
1 prize in 5 boxes = 5 x 0.25 x 0.75^4
Total probability = 0.75^5 + 5 x 0.25 x 0.75^4 = 0.63
If im sure it should be c
Answer: see proof below
<u>Step-by-step explanation:</u>
Given: cos 330 =
Use the Double-Angle Identity: cos 2A = 2 cos² A - 1
Proof LHS → RHS:
LHS cos 165
Double-Angle: cos (2 · 165) = 2 cos² 165 - 1
⇒ cos 330 = 2 cos² 165 - 1
⇒ 2 cos² 165 = cos 330 + 1
Given:
Divide by 2:
Square root:
Scratchwork:
Since cos 165 is in the 2nd Quadrant, the sign is NEGATIVE
LHS = RHS