<span>no, the relative frequency of males who like math is different from the relative frequency of females who like science.</span>
Answer:
-8z-1
Step-by-step explanation:
Answer:
5 sq. ft.
Step-by-step explanation:
To find the area of a rectangle, use this formula: A = lw.
Because you know two side lengths of the window, you can just plug in the numbers to the formula.
But not yet! You need to convert the given lengths into feet first.
You know that there are 12 inches in 1 foot.
So:
24 inches ÷ 12 inches/foot = 2 feet
30 inches ÷ 12 inches/foot = 2.5 feet
Alright, now you can plug in these lengths into the formula.
A = (2) (2.5) = 5 sq. ft.
The question asks you to round, but there is nothing to round, so you are done here.
Answer:
98%
Step-by-step explanation:
im not real sure but i think thats it if im wrong srry
Answer:
; minimum
Step-by-step explanation:
Given:
The function is, ![y=x^{2}+2](https://tex.z-dn.net/?f=y%3Dx%5E%7B2%7D%2B2)
The given function represent a parabola and can be expressed in vertex form as:
![y=(x-0)^{2}+2](https://tex.z-dn.net/?f=y%3D%28x-0%29%5E%7B2%7D%2B2)
The vertex form of a parabola is
, where,
is the vertex.
So, the vertex is
.
In order to graph the given parabola, we find some points on it.
Let ![x=-2,y=(-2)^{2}+2=4+2=6](https://tex.z-dn.net/?f=x%3D-2%2Cy%3D%28-2%29%5E%7B2%7D%2B2%3D4%2B2%3D6)
![x=-1,y=(-1)^{2}+2=1+2=3](https://tex.z-dn.net/?f=x%3D-1%2Cy%3D%28-1%29%5E%7B2%7D%2B2%3D1%2B2%3D3)
![x=0,y=(0)^{2}+2=0+2=2](https://tex.z-dn.net/?f=x%3D0%2Cy%3D%280%29%5E%7B2%7D%2B2%3D0%2B2%3D2)
![x=2,y=(2)^{2}+2=4+2=6](https://tex.z-dn.net/?f=x%3D2%2Cy%3D%282%29%5E%7B2%7D%2B2%3D4%2B2%3D6)
![x=1,y=(1)^{2}+2=1+2=3](https://tex.z-dn.net/?f=x%3D1%2Cy%3D%281%29%5E%7B2%7D%2B2%3D1%2B2%3D3)
So, the points are
.
Mark these points on the graph and join them using a smooth curve.
The graph is shown below.
From the graph, we conclude that at the vertex
, it is minimum.