A hamster wheel has a diameter of 8.5 in. How many inches does the hamster run in one revolution? Use 3.14 to approximate for pi
1 answer:
You might be interested in
Answer:
Check the explanation
Step-by-step explanation:
Kindly check the attached images below to see the step by step explanation to the question above.
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- Follow the attachment attached herewith.
Solution-
As we know if we are moving in left or right, we have to deal with the x - direction or x co-ordinate and if we are moving in up and down , we have to deal with y - direction or y co-ordinate .
If we are moving in right ,we have to add in x co-ordinate and if we are moving left we have subtract from x co-ordinate. Likewise, if we are moving up, we have to add in y co-ordinate and if we are moving down, then we have to subtract from y co-ordinate.
As given in the question, we have move the triangle 4 units right and 5 units down,
The co-ordinate of given triangles'
A = (-1,3)
B = (-5,-3)
C = (2,-1)
∴Then the new co-ordinate will be
A' = (-1+4 , 3-5) = (3,-2)
B' = (-5+4 , -3-5) = (-1,-8)
C' = (2+4 , -1-5) = (6,-6)
