The coyote can run 48 more miles than the rabbit
Before you run any statistical test, you must first determine your alpha<span> level, which is also called the “significance level.” By definition, the </span>alpha<span> level is the probability of rejecting the </span>null<span> hypothesis when the </span>null<span> hypothesis is true.</span>
"Alaina’s sugar cookie recipe calls for 2 1/4
cups of flour per batch. If she wants to make 2/3
a batch of cookies, how much flour should she use?"
1 1/2 Cups, if she wants to make less than the original recipe, she would need less flour, you have to divide.
Answer:
![3.14r^2(h-\frac{1}{3}h_1)](https://tex.z-dn.net/?f=3.14r%5E2%28h-%5Cfrac%7B1%7D%7B3%7Dh_1%29)
Step-by-step explanation:
Let h be the cylinders height and r the radius.
-The volume of a cylinder is calculated as:
![V=\pi r^2h](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E2h)
-Since the cone is within the cylinder, it has the same radius as the cylinder.
-Let
be the height of the cone.
-The area of a cone is calculated as;
![V=\pi r^2 \frac{h}{3}\\\\=\frac{1}{3}\pi r^2h_1](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E2%20%5Cfrac%7Bh%7D%7B3%7D%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2h_1)
The volume of the solid section of the cylinder is calculated by subtracting the cone's volume from the cylinders:
![V=V_{cy}-V_{co}\\\\=\pi r^2h-\frac{1}{3}\pi r^2 h_1, \pi=3.14\\\\=3.14r^2(h-\frac{1}{3}h_1)](https://tex.z-dn.net/?f=V%3DV_%7Bcy%7D-V_%7Bco%7D%5C%5C%5C%5C%3D%5Cpi%20r%5E2h-%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2%20h_1%2C%20%5Cpi%3D3.14%5C%5C%5C%5C%3D3.14r%5E2%28h-%5Cfrac%7B1%7D%7B3%7Dh_1%29)
Hence, the approximate area of the solid portion is ![3.14r^2(h-\frac{1}{3}h_1)](https://tex.z-dn.net/?f=3.14r%5E2%28h-%5Cfrac%7B1%7D%7B3%7Dh_1%29)
Answer:
Step-by-step explanation:
Roots: set y = x^2 + 8x + 12 = 0 and solve for x: x + 6 = 0, so x = -6 is one root. The other is x = -2. The corresponding points are (-6, 0) and (-2, 0).
y-intercept: Let x = 0. Then y = 12. The y-intercept is (0, 12).
Axis of symmetry: x = -b / (2a) => x = -8/(2*1) = -4: x = -4
Vertex y-value: evaluate y at x = - 4: (-4)^2 + 8(-4) + 12 = -4: (-4, -4)
Arbitrarily chosen x value: x = 1 => 1^2 + 8(1) + 12 = 21: (1, 21)
The five points are: (-6, 0) and (-2, 0), (0, 12), (-4, -4), (1, 21). The vertex is (-4, -4). The parabolic graph opens UP.