Mr. mehta is trying to subtracting one polynomial from another polynomial, what must he do first?
1 answer:
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Answer:
The 98% confidence interval for the population mean number of hours worked per year per person is (2146, 2193).
Step-by-step explanation:
The question is incomplete.
The number of hours registered in the sample are:
2051 2061 2162 2167 2169 2171
2180 2183 2186 2195 2196 2198
2205 2210 2211
The sample mean can be calculated as:
We have to calculate a 98% confidence interval for the mean.
The population standard deviation is know and is σ=39.
The sample mean is M=2169.67.
The sample size is N=15.
As σ is known, the standard error of the mean (σM) is calculated as:
The z-value for a 98% confidence interval is z=2.326.
The margin of error (MOE) can be calculated as:
Then, the lower and upper bounds of the confidence interval are:
The 98% confidence interval for the population mean is (2146, 2193).
Answer:
x = 4
Step-by-step explanation:
This is special right triangles
For the triangle on the bottom, the shorter leg is x, the longer leg is x * √3, and the hypotenuse is x *2. This means that the shorter leg is 2 since you the longer leg is that side multiplied by √3. The hypotenuse is x *2, which is 2 * 2 which equals 4.
Now we have one side of the bigger triangle. This triangle is a 45-45-90 triangle, and the rule is that the two legs are x, and the hypotenuse is x *2. Since we found a leg and not the hypotenuse of the bigger triangle, and the two legs are congruent, that means x is 4.
