Given: 6x + 3 = 27
First what we do is to subtract 3 from both sides:
6x + 3 – 3 = 27 – 3
6x = 24
Then we divide both sides by 3:
6x/3 = 24/3
<span>2x = 8</span>
1379.52 is the answer to your question
Okay, so supplementary angles = 180 degrees.
Starting equation : 4y + 7 + 9y + 4 = 180
Combine like terms : 13y + 11 = 180
Subtract 11 from both sides : 13y = 169
Divide 13 from both sides : y = 13
Insert y value into original m<2 equation : 9(13) + 4
Solve : 121 degrees
If you want to check your work, all you have to do is insert y value into original m<1 equation and then add both m<1 and m<2. If they equal 180, your answer is correct.
4(13) + 7 = 59
59 + 121 = 180
Answer:
99.9973 %
Step-by-step explanation:
This is a binomial probability distribution.
Since the probability of satisfactory welds = 97% = 0.97 and the probability of defective welds = 3% = 0.03.
Since there are 3 welds and we require at least one being defective, our binomial probability is
P(x ≥ 1) = 1 - P(x ≤ 0) = 1 - P(0) = 1 - ³C₀(0.03)³(0.97)⁰ = 1 - 1 × 0.000027 × 1 = 1 - 0.000027 = 0.999973 × 100% = 99.9973%
Rearrange into y=mx + b
So
-4x - 5y = -10 Add 4x to each side
-5y = 4x - 10 Divide each side by -5
y = 4x/-5 -10/-5 Simplify
y = -4x/5 +2
