Answer:
x-1= -18
x = -18 +1
x = -17
2x - 4 = - 38
2x = -38 + 4
2x = -34
x = -34/2
x = -17
Step-by-step explanation:
Answer:
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Step-by-step explanation:
Answer:
The 80% confidence interval for the the population mean nitrate concentration is (0.144, 0.186).
Critical value t=1.318
Step-by-step explanation:
We have to calculate a 80% confidence interval for the mean.
The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.
The sample mean is M=0.165.
The sample size is N=25.
When σ is not known, s divided by the square root of N is used as an estimate of σM:

The degrees of freedom for this sample size are:

The t-value for a 80% confidence interval and 24 degrees of freedom is t=1.318.
The margin of error (MOE) can be calculated as:
Then, the lower and upper bounds of the confidence interval are:

The 80% confidence interval for the population mean nitrate concentration is (0.144, 0.186).
Step-by-step explanation:
a) Let y = f(x) = 3x - 2x^2
f(-2) = 3(-2) - 2(-2)^2 = p
= -6 - 8
= -14
= p
f(2.5) = 3(2.5) - 2(2.5)^2 = q
= 7.5 - 12.5
= -5
= q
b) graphing
c) From the graph, you should be able to verify the following:
i) f(0.5) = 3(0.5) - 2(0.5)^2 = 1
ii) 0.5 = 3x - 2x^2 or x = 1.3, 0.2
iii) the maximum occurs at
f(0.75) = 1.125
d) the equation for the line of symmetry is x = 0.75
Answer: 12.2
Step-by-step explanation: