Answer:
<h2>
y = -¹/₄x - 1</h2>
Step-by-step explanation:
If two lines are perpendicular then the product of theirs slopes is equal -1:
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇒ m₁×m₂ = -1
y = 4x - 2 ⇒ m₁=4
4×m₂ = -1 ⇒ m₂ = -¹/₄
The line y=-¹/₄x+b passes through point (4, -2) so the equation:
-2 = -¹/₄×4 + b must be true
-2 = -1 + b
b = -1
Therefore equation in slope-intercept form:
y = -¹/₄x - 1
Answer:
I think it is 2 one
Step-by-step explanation:
It wants you to find the numbers that add up to 82. then it gives you more clues on how to find the exact digits.
<span>What percent of 600 is 12?
In order to get what percent of 600 is 12, we need to formulate the equation.
12 = ___ * 600
12 = 600P
P = 12 / 600
P = 0.02
Percentage must be in hundred. So multiply 0.02 by 100
= 0.02 * 100
= 2%
So, 2% of 600 is equal to 12.</span>
Answer: Mean = 52.8 mins
Step-by-step explanation:
We have lapses of 30 minutes, so we can write the average for each, this means that:
0 < t < 30 can be averaged to the middle of the range: 15 min.
Doing this, we have that:
7 students 15 min
27 students 45 min
12 students 75 min
4 students 105 min.
Now we can calculate the mean:
mean = (x1*n1 + x2*n2 + ...)/N
where x1 is the amount of time 1, and n1 is the number of students associated to that time and so on. N is the total number of students
Mean = (7*15min + 27*45min + 12*75min + 4*105min)/(7 + 27 + 12 + 4)
Mean = 52.8 mins
