Answer:
1
Step-by-step explanation:
We are finding the discriminant of the function
It needs to be written in the form ax^2 +bx+c =0
2x^2 +3x = -1
Add 1 to each side
2x^2 +3x+1 = -1+1
2x^2 +3x+1 = -0
b^2 -4ac
a=2 b=3 and c = 1
3^2 - 4(2)(1)
9 - 8
1
Answer: Order from Least to Greatest
2/6 < 4/10 < 5/12 < 3/7
Step-by-step explanation:
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: (1) 2p: 5q.
(2) 3:10.
(3) 5:6.
Step-by-step explanation:
To find : Ratio
(1) 4p²q : 10pq²

i.e. Simplified ratio of 4p²q : 10pq² is 2p: 5q.
(2) 9 months : 2½ years
1 year = 12 months

Now, 9 months : 2½ years = 
Hence, Simplified ratio of 9 months : 2½ years is 3:10.
(3) 5 m : 600 cm
1 m = 100 cm
So, 5m = 500 cm
Now, 5 m : 600 cm = 
Hence, Simplified ratio of 5 m : 600 cm is 5:6.