What does the central limit theorem tell us about the
distribution of those mean ages?
<span>A. </span>Because n>30, the sampling
dist of the mean ages can be approximated by a normal dist with a mean u and a
SD o/sqrt 54,
Whenever n<span>>30 the central limit theory applies.</span>
Step 1: Subtract 28x from both sides.
4x2−28x=28x−28x4x2−28x=0
Step 2: Factor left side of equation.
4x(x−7)=0
Step 3: Set factors equal to 0.
4x=0 or x−7=0
Answer:x=0 or x=7
The two triangles are similar, so will have a direct scale factor. We can find this by using the given measurements, 10÷8=1.25. So the scale factor from the smaller to the bigger triangle is 1.25. This means that 1.25×(x+6)=AE. We can solve this as we would with a regular linear equation:
1.25(x+6)=2x+6
1.25x+7.5=2x+6
1.5=0.75x
2=x
∴ AE is 2x+6=10
First we write equation that consist coordinates of center and radius. That formula goes like this:
(x-x1)^2 + (y-y1)^2 = r^2
x and y are coordinates on any point on circle
x1 and y1 are coordinates of center of circle.
r is radius of that circle. now we need to express our values for center and radius andf square binoms and see what matches in our options.
(x-3)^2 + (y-8)^2 = 5^2
x^2 + y^2 -6x -16y +48 = 0
The answer is first option.
Answer: x > -6
Step-by-step explanation:
-2x + 4 < 16
-2x < 12
x > -6
