Answer:
w = -4
Step-by-step explanation:
Solve for w:
17 - 3 (w + 5) = 6 (w + 5) - 2 w
-3 (w + 5) = -3 w - 15:
-3 w - 15 + 17 = 6 (w + 5) - 2 w
Grouping like terms, -3 w - 15 + 17 = (17 - 15) - 3 w:
(17 - 15) - 3 w = 6 (w + 5) - 2 w
17 - 15 = 2:
2 - 3 w = 6 (w + 5) - 2 w
6 (w + 5) = 6 w + 30:
2 - 3 w = 6 w + 30 - 2 w
Grouping like terms, 6 w - 2 w + 30 = (6 w - 2 w) + 30:
2 - 3 w = (6 w - 2 w) + 30
6 w - 2 w = 4 w:
2 - 3 w = 4 w + 30
Subtract 4 w from both sides:
2 + (-3 w - 4 w) = (4 w - 4 w) + 30
-3 w - 4 w = -7 w:
-7 w + 2 = (4 w - 4 w) + 30
4 w - 4 w = 0:
2 - 7 w = 30
Subtract 2 from both sides:
(2 - 2) - 7 w = 30 - 2
2 - 2 = 0:
-7 w = 30 - 2
30 - 2 = 28:
-7 w = 28
Divide both sides of -7 w = 28 by -7:
(-7 w)/(-7) = 28/(-7)
(-7)/(-7) = 1:
w = 28/(-7)
The gcd of 28 and -7 is 7, so 28/(-7) = (7×4)/(7 (-1)) = 7/7×4/(-1) = 4/(-1):
w = 4/(-1)
Multiply numerator and denominator of 4/(-1) by -1:
Answer: w = -4
Answer:
y= -6/5x -3
Step-by-step explanation:
So for now lets bring it into mx + b format
Subtract 6x from both sides to isolate y which is also called subtraction property of equality.
so 5y = -6x -15
Now you divide both sides by 5 which is called division property of equality.
You now have y = -6/5x - 3
y= -6/5x -3 is the slope intercept form of the standard form equation of 6x + 5y = -15.
Hope this helps!
Let x be a random variable representing the number of skateboards produced
a.) P(x ≤ 20,555) = P(z ≤ (20,555 - 20,500)/55) = P(z ≤ 1) = 0.84134 = 84.1%
b.) P(x ≥ 20,610) = P(z ≥ (20,610 - 20,500)/55) = P(z ≥ 2) = 1 - P(z < 2) = 1 - 0.97725 = 0.02275 = 2.3%
c.) P(x ≤ 20,445) = P(z ≤ (20,445 - 20,500)/55) = P(z ≤ -1) = 1 - P(z ≤ 1) = 1 - 0.84134 = 0.15866 = 15.9%
Prob ( guessing right) = 0.25 . Get 1 point.
Prob( guessing wrong) = 0.75. Lose 0.5 points.
Expected value = 1(0.25) + (-0.5)(0.75)
= -0.125 answer
You know this when the two values (x and y) are inversely proportional to each other by their product being constant (always remaining the same). This means when x increases y will decrease.
Hope this helped :)
