Answer:
Volume = 12×9×6 = 648 inches^3
Step-by-step explanation:
Hope this helps! Have a nice day!
Assuming you meant 45x^2y^2+18*3 , it should be 9(5x^2y^2+6)
Answer:
13 units.
Step-by-step explanation:
We can find distance between points by using the following formula:

The change in x is -5, and change in y is 12. Let's apply this to the formula.
. Evaluate this, and we get 13.
Hope this helped!
Answer:
0.75<p<0.85
Yes,the proportion of girls is significantly different from 0.5.
Step-by-step explanation:
We calculate the proportion of girls:

#We then calculate the confidence interval as follows:
![CI=p\pm z(ME)\\\\=p\pm z_{0.005}\sqrt{\frac{p(1-p)}{n}}\\\\=0.8+2.576\times \sqrt{\frac{0.8\times 0.2}{425}}\\\\=0.8\pm0.05\\\\=[0.75,0.85]](https://tex.z-dn.net/?f=CI%3Dp%5Cpm%20z%28ME%29%5C%5C%5C%5C%3Dp%5Cpm%20z_%7B0.005%7D%5Csqrt%7B%5Cfrac%7Bp%281-p%29%7D%7Bn%7D%7D%5C%5C%5C%5C%3D0.8%2B2.576%5Ctimes%20%5Csqrt%7B%5Cfrac%7B0.8%5Ctimes%200.2%7D%7B425%7D%7D%5C%5C%5C%5C%3D0.8%5Cpm0.05%5C%5C%5C%5C%3D%5B0.75%2C0.85%5D)
Hence, the proportion's confidence interval at 99% is 0.75<p<0.85
#We then state our hypothesis to validate the claim:

Since the confidence interval does not contain 0.5, which is the the 50% chance of having a girl, then it can be concluded the proportion of girls is significantly different from 0.5.
Answer:
x = 22 mm
Step-by-step explanation:
The area of a kite is one-half of the product of the max width and max height.
A = (1/2)(a)(b)
We are given the height and the area, and need to find the width. Plug in the given values and solve.
247.5 = (1/2)(22.5)(b)
495 = (22.5)(b) (multiply both sides by 2 to get rid of the fraction)
22 = b (divide both sides by 22.5 to isolate b)
The width is 22 mm across