is differentiable across its domain, so the MVT says there is some value of
in the open interval
such that
You have
so the equation above becomes
Solve for
.
so
is indeed the average of the endpoints, i.e. the midpoint.
Answer: 650
Step-by-step explanation:
When prior estimate of population proportion is known , then the formula to find the required sample size is given by :-
, where p= population proportion
E= margin of error
z* = Critical value.
Let p be the proportion of adults able to identify a Toyota Scion by brand and model name.
As per given , we have
p = 12%= 0.12
E= 2.5%=0.025
Critical value for 95% confidence interval : z* = 1.960 [By z-table ]
Then, the required sample size = 
Thus , the required sample size = 650
Answer:
359.94 = 59.99 * X
Step-by-step explanation:
The situation is determined by the following equation:
T = M * X
Being M the monthly value, that is to say 59.99
T the total value, that is 359.94
And X would be the number of months, and at the same time the variable.
In this case it would be like this:
359.94 = 59.99 * X
If we solve for X, we are left with:
X = 359.94 / 59.99
X = 6
That is to say that Megan went to the gym for 6 months of the year
Amount of room hannah can paint in an hour = 1/20
amount of room destiny can paint in an hour = 1/16
number of hours = x
1/20x + 1/16x = 1
the reason why this formula is true is, the amount of the room painted in the end should be 1 (the whole room)
4/80x + 5/80x = 1
9/80x = 1
9x = 80
x = 80/9 hours
x = 8.89 hours
Answer:
−2=−2x^3
Step-by-step explanation:
10x3= 3x2−20x−6=(10x3⋅(3x2))(−20x−6)=−600x6−180x5x2=−600x6−180x5−2x⋅(2x2)=−4x3−2x⋅x2=−2x^3
−2=−2x3
2x^2=−2x^3
−2=−2x^3
