Answer:
(27.3692 ; 44.6308)
Step-by-step explanation:
Mean, xbar = 36
Standard deviation, s = 11
Sample size, n = 12
Tcritical at 0.2, df = 12 - 1 = 11 ; Tcritical = 2.718
Confidence interval :
Xbar ± Margin of error
Margin of Error = Tcritical * s/sqrt(n)
Margin of Error = 2.718 * 11/sqrt(12) = 8.6308
Confidence interval :
Lower boundary : 36 - 8.6308 = 27.3692
Upper boundary : 36 + 8.6308 = 44.6308
(27.3692 ; 44.6308)
Answer:
All are correct.
Step-by-step explanation:
Let x be the number of movies and y be the number of newly released video games.
Larry has a gift card worth 400 for a local entertainment store Movies cost $20 each and newly released video games cost $50 each.
Larry must purchase at least nine items.
Check both inequalities of all given ordered pairs.
For (5,6),
Point (5,6) satisfy both inequalities.
For (10,4),
Point (10,4) satisfy both inequalities.
For (20,0),
Point (20,0) satisfy both inequalities.
For (15,2),
Point (15,2) satisfy both inequalities.
Therefore, all combination of movies and newly released video games Larry could purchase using his gift card.
Sin ( theta ) = opposite / hypotenuse
sin ( 37° ) = 13 / x
Step-by-step explanation:
Effective resistance in the 30Ω and 40Ω parallel circuit = 1 / (1/30 + 1/40) = 120/7 Ω.
20Ω + 10Ω = 30Ω
Effective resistance in the 50Ω and (20Ω + 10Ω) parallel circuit = 1 / (1/50 + 1/30) = 75/4 Ω.
Now we can add the resistances up:
Effective resistance for circuit
= 120/7 Ω + 75/4 Ω = 1005/28 Ω.
Hence I = V / R
= 9.0V / (1005/28 Ω) = 0.25A. (2s.f.)
Answer:
No, she can make less than $25000 according to the calculation
Step-by-step explanation:
Given the revenue function expressed as R = −0.5x2 − 200x, Margaret revenue will be at the maximum if dR/dx = 0
dR/dx = -2(0.5)x -200
dR/dx = -x -200
Since dR/dx = 0
-x-200 = 0
x = -200
Substitute x = -200 into the function.
R = −0.5x^2 − 200x
R = −0.5(-200)^2 − 200(-200)
R = -0.5(40000)+40000
R = -20000+40000
R = 20000
This means that the revenue for the year is $20,000 which shows that her revenue cannot be at least $25000 for that year but she could make less than $25000
