Answer:
D) the standard error for her sample is 15
Step-by-step explanation:
Samantha is 95% certain that between 50% and 70% of the first year students agree that they should be able to bring a car to campus.
Here
- 95% is the confidence level.
- The range between 50% and 70% indicates 95% confidence interval.
- 60% is the average proportion of the first year students at her university think they should be able to bring a car to campus.
- 10% (0.1) is the margin of error from the mean
Since standard error can be obtained by dividing margin of error by the z-statistic of the confidence level which is 1.96. The standard error for her sample
does not equal to 15.
X=-b/2a is the formula for finding the axis of symmetry
So x= -30/2(5)
X=-30/10
X=-3
Because the axis of symmetry is -3, we know where to place our line, and we also know that the parabola is open downwards, which means that the vertex will be maximum. To find the vertex, plug in your values with the axis of symmetry as a midway point. Plug that in for x and so you should have the following:
F(x)
Y(f(x) and y variables are interchangeable) =5(-3)^2-30(-3)+49
Solve for y(f(x))
5(-3)^2-30(-3)+49
(-3)^2=3^2
3^2*5+30*3+49
Multiply
3^2*5+90+49
Add numbers
3^2*5+139
9*5=45
45+139=184
Y=184
So, your vertex would be
(-3,184) and it would be maximum. From there you can plug in the rest of your table of values.
Answer:
y=11
Step-by-step explanation:
Answer:
3) x-axis: 1 unit
y-axis: 10 units
4) quadrant II
coordinates: (-2, 4)
7) Quadrants I and IV; time is always positive , but temperature can be positive and negative
8) W = (-0.75, -1)
Step-by-step explanation:
3) x-axis: 1 unit
y-axis: 10 units
4) quadrant II
coordinates: (-2, 4)
7) Quadrants I and IV; time is always positive , but temperature can be positive and negative
8) W = (-0.75, -1)