The sum of angles in a triangle is 180°
40°+(8x+7)°+(9x+16)° = 180°
40 + 8x + 7 + 9x + 16 = 180°
40 + 7 + 16 + 8x + 9x = 180°
63 + 17x = 180°
17x = 180 - 63
17x = 117
x = 117 ÷ 17
x = 6.9 °
The sample size should be 31.
We use the formula
![n=(\frac{z*\sigma}{E})^2](https://tex.z-dn.net/?f=n%3D%28%5Cfrac%7Bz%2A%5Csigma%7D%7BE%7D%29%5E2)
To find the z-score for 99% confidence:
Convert 99% to a decimal = 0.99
Subtract from 1: 1-0.99 = 0.01
Divide by 2: 0.01/2 = 0.005
Subtract from 1: 1-0.005 = 0.995
Using a z-table (http://www.z-table.com) we can see that this value falls between 2.57 and 2.58; we will use 2.575. Using this for z, our value for σ and our value for E, we have:
A²=25 then a = + 5 & a =-5, so this ellipse intercepts the x axis at the points +5 & -5
Answer:
13.25
Step-by-step explanation:
Simple, we know > sign is greater than sign and < sign means less than sign. We divide 1/2 and that gets us 0.5. 3.5 is greater than 1/2 so the answer would be 3.5>1/2