Answer: y = 1/2 or y = -1/2
Step-by-step explanation:
First move the 1 to the side with the 0
-4y^2 = -1 // -1 because when you move a number to the other side of the equation you have to multiply -1
Then divide by -4 on each side
y^2 = 1/4
square root each side
|y| = 1/2 // sq rt y^2 becomes an absolute value because when you square root a square it automatically becomes an absolute value
so the answer would be y = 1/2 or -1/2
to check just put it into the equation as y. Both work.
Answer:
Step-by-step explanation:
(2,-4)....x1= 2 and y1 = -4
(p,8).....x2 = p and y2 = 8
slope(m) = 1/2
now use the slope formula (y2 - y1) / (x2 - x1) and sub in what we know...
slope(m) = (y2 - y1) / (x2- x1)
1 / 2 = (8 - (-4) / (p - 2)
1 / 2 = (8 + 4) / (p - 2)
1/2 = 12 / (p - 2) .....now multiply both sides by (p - 2)
1/2(p - 2) = 12
1/2p - 1 = 12
1/2p = 12 + 1
1/2p = 13
p = 13 / (1/2)
p = 13 * 2/1
p = 26
so the value of p is 26
Answer:
n=-5
Step-by-step explanation:
Let "n" represent the unknown number.
So, the equation asks for 4n and two more, or +2, that is all equal to -18.
So, your equation will be:
First, subtract 2 from both sides:
Then, divide both sides by 4:
Therefore, n=-5.
Answer:
96 employees
Step-by-step explanation:
Given that the standard deviation = 22.8
The width in the question = 12
We solve for the margin of error E.
E = width / 2
= 12/2 = 6
At 99%
Alpha = 1-0.99
= 0.01
Alpha/2 = 0.01/2 = 0.005
Z0.005 = 2.576
Sample size n
= ((2.576x22.8)/2)²
= 95.8
= 96
The number of employees is 96
Thank you!
