What is the equation of the quadratic function that has a minimum at (7.-3) and goes through (9.9)?
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Answer:
Step-by-step explanation:
Hello!
The variable of interest is
X: hourly wage of a high school student
X~N(μ;σ²)
X[bar]= $8.25
σ= $0.25
For a 95% CI for the average hourly wage for<u> 1 </u>high school student:
For this exercise you have to consider the sample size n=1
a) The margin of error of the CI is calculated as:
d= * σ
1-α: 0.95 ⇒ α:0.05
1-α/2:0.975
d= 1.96 * 0.25= 0.49
b)
The formula for the interval is
X[bar] ± * σ
[8.25 ± 0.49]
[7.76; 8.74]
With a 95% you'd expect the interval $[7.76; 8.74] to include the average hourly wage of one high school student in Illinois.
c)
Te calculated interval is $ [7.76; 8.74] the value $9.15 does nor fall within that acceptable range.
I hope this helps!
Eay peasy
solve graphically
graph them and find the poitn that they intersect at
y=mx+b
m=slope
b= y intercept
y=7x-9
slope=7
yintercept=-9
y=3x-1
slope=3
yinercept=-1
I have attached graph below
easier way would be to simply sub them and solve
7x-9=y=3x-1
7x-9=3x-1
4x-9=-1
4x=8
x=2
y=3x-1
y=3*2-1
y=6-1
y=5
(2,5) is solution
solve graphically
graph them and find the poitn that they intersect at
y=mx+b
m=slope
b= y intercept
y=7x-9
slope=7
yintercept=-9
y=3x-1
slope=3
yinercept=-1
I have attached graph below
easier way would be to simply sub them and solve
7x-9=y=3x-1
7x-9=3x-1
4x-9=-1
4x=8
x=2
y=3x-1
y=3*2-1
y=6-1
y=5
(2,5) is solution