Answer: t _(α/2) = 2.060
Step-by-step explanation:
Given that;
sample size n = 26
confidence interval = 95%
level of significance α = ( 1 - 95/100 ) = 0.05
but from the question the salaries (26) are use to estimate the mean of the population so, its a two tail test
therefore our level if significance α will be divided by 2 = 0.05/2 = 0.025
now our degree of freedom df = 26 - 1 = 25
FROM standard t-table value
the critical value of t for the level of significance 0.025
and 25 degree of freedom is 2.060
therefore, t _(α/2) = 2.060
Answer:
124 ft2
Step-by-step explanation:
The yard is a 12ft square so the length and width would both be 12ft. You multiply the length and width of the yard to get the area of the yard so 12x12=144. You have the length and width of the flower bed so 5x4=20. Once you have the area of both you can subtract the area the flower bed takes up of the lawn. 144-20=124 ft2.
For this case we have by definition, that the derivative of the position with respect to time is the velocity, that is to say:
So:
Taking into account that the derivative of a constant is 0.
So, the velocity is -14
Answer:
-14
Answer:
17) MC(x) = 35 − 12/x²
18) R(x) = -0.05x² + 80x
Step-by-step explanation:
17) The marginal average cost function (MC) is the derivative of the average cost function (AC).
AC(x) = C(x) / x
MC(x) = d/dx AC(x)
First, find the average cost function:
AC(x) = C(x) / x
AC(x) = (5x + 3)(7x + 4) / x
AC(x) = (35x² + 41x + 12) / x
AC(x) = 35x + 41 + 12/x
Now find the marginal average cost function:
MC(x) = d/dx AC(x)
MC(x) = 35 − 12/x²
18) x is the demand, and p(x) is the price at that demand. Assuming the equation is linear, let's use the points to find the slope:
m = (40 − 50) / (800 − 600)
m = -0.05
Use point-slope form to find the equation of the line:
p(x) − 50 = -0.05 (x − 600)
p(x) − 50 = -0.05x + 30
p(x) = -0.05x + 80
The revenue is the product of price and demand:
R(x) = x p(x)
R(x) = x (-0.05x + 80)
R(x) = -0.05x² + 80x
The answer to your question is 0.6875
