Answer:
1/5
Step-by-step explanation:
There are 3 numbers of less than 4 (1, 2 and 3) and there are 2 multiples of 9 (9 and 18). So there are 5 favourable outcomes and 25 possible outcomes. So you put 5/25 and cancel down, which makes 1/5. I hope this helps!
Answer:
The answer is C
Step-by-step explanation:
The mean of math is 84, and the Mean of science is 85.
so, science is clearly one point higher
Answer:
<h2>The time needed is 10 months.</h2>
Step-by-step explanation:
The given points are (0, 3500) and (5, 1750).
First, we use the formula below to find the slope of the line
![m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }=\frac{1750-3500}{5-0}=\frac{-1750}{5}=-350](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_%7B2%7D-y_%7B1%7D%20%20%7D%7Bx_%7B2%7D%20-x_%7B1%7D%20%7D%3D%5Cfrac%7B1750-3500%7D%7B5-0%7D%3D%5Cfrac%7B-1750%7D%7B5%7D%3D-350)
Which means the function is deacrasing with a ratio of 350 feet per month.
Now, we use the slope and one point to find the equation
![y-y_{1} =m(x-x_{1} )\\y-1750=-350(x-5)\\y=-350x+1750+1750\\y=-350x+3500](https://tex.z-dn.net/?f=y-y_%7B1%7D%20%3Dm%28x-x_%7B1%7D%20%29%5C%5Cy-1750%3D-350%28x-5%29%5C%5Cy%3D-350x%2B1750%2B1750%5C%5Cy%3D-350x%2B3500)
This linear function shows that the situation started at the y-intecept (0, 3500), which means the month 0 had already 3500 feet. In other words, the total distance is 3500 feet. Now, the x-intercept will tell us the time needed to travel that distance.
![0=-350x+3500\\-3500=-350x\\x=\frac{-3500}{-350}\\ x=10](https://tex.z-dn.net/?f=0%3D-350x%2B3500%5C%5C-3500%3D-350x%5C%5Cx%3D%5Cfrac%7B-3500%7D%7B-350%7D%5C%5C%20x%3D10)
Therefore, the time needed is 10 months.
Answer:
so, the figure here is a cylinder with a semi sphere on the top, we know the height of whole structure, and the radius of the semi sphere, which is the same as the radius of the cylinder (you can see it because the radius of the semisphere is constant, and you can thin on it as half a sphere over a cylinder).
First, the cylinder will be the structure without the semi sphere, so his height will be te total height minus the radius of the semi sphere, which is 0.9μm.
so now we know the height and the radius of the cylinder, the surface or the sides of it is 2*3.14*r*h = 2*3.14*0.9μm*0.1μm = 0.5662
.