Answer:
5 dollars
Step-by-step explanation:
If the price is 90 % off, we will pay 100 - 90 or 10 %
Take the original price times 10 %
50 * 10 %
50 * .10
5
2x + x = 54 wher x = number of girls
3x = 54
x = 18
18 girls
Step 1: Find the standard error (SE)
The standard error is given by
![SE=\frac{s}{\sqrt[]{n}}](https://tex.z-dn.net/?f=SE%3D%5Cfrac%7Bs%7D%7B%5Csqrt%5B%5D%7Bn%7D%7D)
In this case,
Therefore,
![SE=\frac{0.76}{\sqrt[]{74}}\approx0.0883](https://tex.z-dn.net/?f=SE%3D%5Cfrac%7B0.76%7D%7B%5Csqrt%5B%5D%7B74%7D%7D%5Capprox0.0883)
Step 2: Find the alpha level (α)
Step 3: Find the critical probability (P*)
Therefore,
Step 4: Find the critical value (CV)
The critical value the z-score having a cumulative probability equal to the critical probability (P*).
Using the cumulative z-score table we will find the z-score with value of 0.995
Hence,
Step 5: Find the margin of error (ME)
Therefore,
Step 6: Find the confidence interval (CI)
Therefore,
Hence there is a 99% probability that the true mean will lie in the confidence interval
(16.8725, 17.3275)
We take the equation
<span>x^2 -4x + y^2 + 6y + 12 = 0
and complete the square for x and y.
</span><span>x^2 -4x + 4 - 4 + y^2 + 6y + 9 - 9 + 12= 0</span>
<span> (x-2)^2 - 4 + (y+3)^2 - 9 = -12</span>
<span> <span>(x-2)^2+ (y+3)^2 = 1
Therefore the answer is </span></span><span>(x-2)^2+ (y+3)^2 = 1</span>
Answer:
A dilation is a type of transformation that changes the size of the image. The scale factor, measures how much larger or smaller the image is. Each type of dilation (one that gets larger and one that gets smaller).
Step-by-step explanation:
I don't know if this'll be enough help, but it's a brief definition.
