The chance that both come up red is 2/3.
<u>Step-by-step explanation</u>:
First regular die :
The total outcomes are {1,2,3,4,5,6} = 6
Painted red are odd numbers {1,3,5} = 3
Second regular die :
The total outcomes are {1,2,3,4,5,6} = 6
Painted red are one less than perfect square which is 4-1 is {3} = 1
- Probability (both red) = (red in 1st die / total outcome) + (red in 2nd die / total outcome)
P(both red) = 3/6 + 1/6
⇒ 4/6
⇒ 2/3
Answer: x=−9/4
Step-by-step explanation:
Let's solve your equation step-by-step.
−2(x+14)+1=5
Step 1: Simplify both sides of the equation.
−2(x+14)+1=5(−2)(x)+(−2)(14)+1=5(Distribute)−2x+
−1
2
+1=5
(−2x)+(
−1
2
+1)=5(Combine Like Terms)
−2x+
1
2
=5
−2x+
1
2
=5
Step 2: Subtract 1/2 from both sides.
−2x+
1
2
−
1
2
=5−
1
2
−2x=
9
2
Step 3: Divide both sides by -2.
−2x
−2
=
9
2
−2
x=
−9
4
Answer:
a,c,d and e are TRUE.
Step-by-step explanation:
<8 and <5 add upto 180°(supplementary)
<4 and <7 are angles outside and opposite of the transversal(the line that is crossing the parallel lines)
<5 and<7 are 90°(vertical)
<2 and<6 are on the same side of the transversal(corresponding)
Answer:
(2, -7)
Step-by-step explanation:
The image is the point after the transformation. So basically we want to move backwards. the transformation is (x-6, y+8) so that means we want to find when we go in reverse, or in other words (x+6, y-8) from the image (-4, 1)
(x+6, y-8)
(-4+6, 1-8)
(2, -7)
You can check by transforming this point witht he transformation properly. And just a reminder (x-6, y+8) mans left 6 and up 8