Answer:
The first image.
x | y
-4 | 0
0 | 20 <--- When x = 0, the y value is the y-intercept.
4 | 40
8 | 60
Step-by-step explanation:
To check the slope, we can use the equation (y₂ - y₁) ÷ (x₂ - x₁) using any two pairs given. For this example, I'll use (-4, 0) and (4, 40).
x₂ y₂ x₁ y₁
(0 - 40) ÷ (-4 - 4)
(-40) ÷ (-8)
<u>Slope = 5</u>
<u></u>
~Hope this helps!~
1.5x will be the very answer
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:
x= 2
Step-by-step explanation:
5 -2(x +5)= 3x -15
Expand:
5 -2x -2(5)= 3x -15
5 -2x -10= 3x -15
Simplify:
-2x -5= 3x -15
Bring x terms to 1 side, constant to the other:
3x +2x= 15 -5
5x= 10
Divide both sides by 5:
x= 10 ÷5
x= 2
