(x - 2)^2 will always be positive and will have a minimum value of 0
so f(x) will have minimum of 2
Range is [2,∞)
Answer:
The 90% confidence interval for the population mean iron concentration is between 0.167 cc/m³ and 0.195 cc/m³.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
So it is z with a pvalue of , so
Now, find M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 0.181 - 0.0140 = 0.167 cc/m³.
The upper end of the interval is the sample mean added to M. So it is 0.181 + 0.0140 = 0.195 cc/m³.
The 90% confidence interval for the population mean iron concentration is between 0.167 cc/m³ and 0.195 cc/m³.
Answer:
$56,226
Step-by-step explanation:
x = investment
Earning interest of 3.57% is the equivalent of multiplying the initial balance (investment) by 1.0357;
Over 20 years, the new balance can be found by multiplying the initial balance by (1.0357)²⁰;
We can formulate an equation to solve to get the initial investment:
x(1.0357)²⁰ = 113400
(2.01687752)x = 113400
x = ¹¹³⁴⁰⁰/₍₂.₀₁₆...₎
x = 56225.5263 → 56226
10 more than 451 would be 451 + 10 = 461.
8x - 4y = -12
4y = 8x + 12
y = 8/4 x + 12/4
y = 2x + 3
When x = -3,
y = 2(-3) + 3 = -6 + 3 = -3
When x = -1,
y = 2(-1) + 3 = -2 + 3 = 1
When x = 1,
y = 2(1) + 3 = 2 + 3 = 5