Bob wants to take his wife, Mary, to Europe in three years to commemorate their 40th wedding anniversary. He recently received a
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The point (2, 5) is not on the curve; probably you meant to say (2, -5)?
Consider an arbitrary point Q on the curve to the right of P, , where
. The slope of the secant line through P and Q is given by the difference quotient,
where we are allowed to simplify because .
Then the equation of the secant line is
Taking the limit as , we have
so the slope of the line tangent to the curve at P as slope 2.
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We can verify this with differentiation. Taking the derivative, we get
and at , we get a slope of
, as expected.
Answer:
The calculated value |Z| = |-2.0375| = 2.0375<2.0541.96 at 0.02 level of significance
A women’s rights organization believes that the average value does not accurately depict the current trend in retirement.
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the mean age of retirement for women, executives is 61.7
Given mean of the Population = 61.7
Given that the size of the sample 'n' = 82
Given that the mean of sample x⁻ = 60.8
Given that the standard deviation 'σ' = 4.0years
<u><em>Step(ii):-</em></u>
Null hypothesis:H₀: μ ≠ 61.7
Alternative Hypothesis: H₁: μ = 61.7
Test statistic
Z = -2.0375
|Z| = |-2.0375| = 2.0375< 2.054 at 0.02 level of significance
<u><em>Final answer:-</em></u>
The calculated value |Z| = |-2.0375| = 2.0375 <2.054 at 0.02 level of significance
A women’s rights organization believes that the average value does not accurately depict the current trend in retirement.