Answer:
10 ft x 10 ft
Area = 100 ft^2
Step-by-step explanation:
Let 'S' be the length of the southern boundary fence and 'W' the length of the eastern and western sides of the fence.
The total area is given by:
The cost function is given by:
Replacing that relationship into the Area function and finding its derivate, we can find the value of 'S' for which the area is maximized when the derivate equals zero:
If S=10 then W =20 -10 = 10
Therefore, the largest area enclosed by the fence is:
Answer:
the pension fund will be £285480
Step-by-step explanation:
her plans = £412 per month till 18 years ( 2034 )
so, 18 years to months
= 18 × 30
= 540 months
£412 × 540
= £222480
you must add it up with the amount at the end of 2016 which is :-
£63000 + £222480
= £285480
you're welcome ^o^
Answer:
El ingeniero civil es aquella persona que dedica o aplica sus ... usan muy seguido el Teorema de Pitágoras, cuando construyen rampas. ... En las curvas se aplican cierto grado de ángulos, para evitar que el ... ...conocer y aprender más sobre los ángulos y triángulos, que es una parte muy importante
Step-by-step explanation:
Answer:
The confidence interval is from 69.82 o 82.18
Step-by-step explanation:
Using this formula X ± Z (s/√n)
Where
X = 76 --------------------------Mean
S = Standard Deviation
If Variance = 144
S = √144
S = 12
n = 25 ----------------------------------Number of observation
Z = 2.576 ------------------------------The chosen Z-value from the confidence table below
Confidence Interval || Z
80%. || 1.282
85% || 1.440
90%. || 1.645
95%. || 1.960
99%. || 2.576
99.5%. || 2.807
99.9%. || 3.291
Substituting these values in the formula
Confidence Interval (CI) = 76 ± 2.576 (12/√25)
CI = 76 ± 2.576(12/5)
CI = 76 ± 2.576(2.4)
CI = 76 ± 6.1824
CI = 76 + 6.1824 ~ 76 - 6.1824
CI = 82.1824 ~ 69.8176
CI = 82.18 ~ 69.82
In other words the confidence interval is from 69.8176 to 82.1824
