A piece of nickel has a mass of 3.48kg and a volume of 400cm3.
1 answer:
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A graphing calculator working the quadratic regression problem for these three points gives the equation as
y = 2x² +7x -5
y = 2x² +7x -5
Answer:
The 95% confidence interval for the concentration in whitefish found in Yellowknife Bay is (0.2698 mg/kg, 0.3702 mg/kg).
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 8 - 1 = 7
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 7 degrees of freedom(y-axis) and a confidence level of . So we have T = 2.3246
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 0.32 - 0.0502 = 0.2698 mg/kg
The upper end of the interval is the sample mean added to M. So it is 0.32 + 0.0502 = 0.3702 mg/kg
The 95% confidence interval for the concentration in whitefish found in Yellowknife Bay is (0.2698 mg/kg, 0.3702 mg/kg).
Answer:
6000 ft
Step-by-step explanation:
Let length of rectangular field=x
Breadth of rectangular field=y
Area of rectangular field= square ft
Area of rectangular field=
Area of rectangular field=
Fencing used ,P(x)=
Substitute the value of y
P(x)=
Differentiate w.r.t x
Using formula:
It is always positive because length is always positive.
Again differentiate w.r.t x
Substitute x=1500
Hence, fencing is minimum at x=1 500
Substitute x=1 500
Length of rectangular field=1500 ft
Breadth of rectangular field=1000 ft
Substitute the values
Shortest length of fence used=
Hence, the shortest length of fence that the rancher can used=6000 ft
