Answer:
y=-1/3x + 33
Step-by-step explanation:
You can start by writing this in point slope form and converting to slope intercept later. Since the slope of the perpendicular line is y=3x-30, this line must have a slope of -1/3. It's point slope form is therefore:
y-25=-1/3(x-24)
Now, you can convert to slope intercept by isolating y:
y=-1/3(x-24)+25
y=-1/3x+8+25
y=-1/3x+33
Hope this helps!
So you have to graph that on to the chart i think
![\bf \textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}\qquad \begin{cases} r=radius\\ \theta =angle\ in\\ \qquad degrees\\ ------\\ r=6\\ s=10 \end{cases}\implies 10=\cfrac{\theta \pi 6}{180}\implies \cfrac{180\cdot 10}{6\pi }=\theta \\\\\\ \cfrac{300}{\pi }=\theta \implies 95.49^o\approx \theta](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Barc%27s%20length%7D%5C%5C%5C%5C%0As%3D%5Ccfrac%7B%5Ctheta%20%5Cpi%20r%7D%7B180%7D%5Cqquad%20%0A%5Cbegin%7Bcases%7D%0Ar%3Dradius%5C%5C%0A%5Ctheta%20%3Dangle%5C%20in%5C%5C%0A%5Cqquad%20degrees%5C%5C%0A------%5C%5C%0Ar%3D6%5C%5C%0As%3D10%0A%5Cend%7Bcases%7D%5Cimplies%2010%3D%5Ccfrac%7B%5Ctheta%20%5Cpi%206%7D%7B180%7D%5Cimplies%20%5Ccfrac%7B180%5Ccdot%2010%7D%7B6%5Cpi%20%7D%3D%5Ctheta%20%0A%5C%5C%5C%5C%5C%5C%0A%5Ccfrac%7B300%7D%7B%5Cpi%20%7D%3D%5Ctheta%20%5Cimplies%2095.49%5Eo%5Capprox%20%5Ctheta%20)
now, the circle of the clock has 360°, if we divide it by 60(minutes), we get 360/60, just 6° for each minute.
now, if there are 6° in 1 minute, how many minutes in 95.49°?
well, just 95.49/6 or about 15.92 minutes, I take it you can round it up to 16 minutes.
so 16 minutes since noon, so is about 12:16, about time get the silverware for lunch.
Answer:
87
Step-by-step explanation:
Answer:
Step-by-step explanation:
Since the results for the standardized test are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = test reults
µ = mean score
σ = standard deviation
From the information given,
µ = 1700 points
σ = 75 points
We want to the probability that a student will score more than 1700 points. This is expressed as
P(x > 1700) = 1 - P(x ≤ 1700)
For x = 1700,
z = (1700 - 1700)/75 = 0/75 = 0
Looking at the normal distribution table, the probability corresponding to the z score is 0.5
P(x > 1700) = 1 - 0.5 = 0.5