10 would be the coefficient in the term 10H
Answer:
Step-by-step explanation:
4(x+1)²=100
(x+1)²= 5²
(x+1)²- 5² = 0
(x+1-5)(x+1+5) = 0 by identity : a² - b ² = (a - b) (a+b)
(x - 4 ) (x+6) =0
x - 4 = 0 or x+6 = 0
x = 4 or x = - 6
Answer: The number of first-year residents she must survey to be 95% confident= 263
Step-by-step explanation:
When population standard deviation (
) is known and margin of error(E) is given, then the minimum sample size (n) is given by :-
, z* = Two-tailed critical value for the given confidence interval.
For 95% confidence level , z* = 1.96
As, = 8.265, E = 1
So, ![n= (\dfrac{1.96\times8.265}{1})^2 =(16.1994)^2\\\\= 262.42056036\approx263\ \ \ [\text{Rounded to the next integer}]](https://tex.z-dn.net/?f=n%3D%20%28%5Cdfrac%7B1.96%5Ctimes8.265%7D%7B1%7D%29%5E2%20%3D%2816.1994%29%5E2%5C%5C%5C%5C%3D%20262.42056036%5Capprox263%5C%20%5C%20%5C%20%5B%5Ctext%7BRounded%20to%20the%20next%20integer%7D%5D)
Hence, the number of first-year residents she must survey to be 95% confident= 263
Answer:
7pi or ≈21.98 cm²
Step-by-step explanation:
The area of the shaded and non shaded in the circle is pir^2 so pi3^2 so 9pi
the area of the 2 smaller circles is pi1^2*2 so 2pi
9pi-2pi=
7pi cm² =
7pi≈21.98 cm² (with pi as 3.14)
