Because t is the number of weeks, replace t with 6 in the equation and solve for s.
s = -0.25(6) +4
s = -1.5 +4
s = 2.5
Now replace t with multiples of 6, use 12 and 18:
s =-.25(12) +4 = 1
s-0.25(18) +4 = -0.5
now fins the difference between the time frames:
2.5 - 1 = 1.5
1 - 0.5 = 1.5
The ice melts 1.5 meters every 6 weeks.
First you need to find the volume of the cylinder. Then find the volume of all 4 rubber balls (spheres). Subtract the cylinder's volume by the spheres' volumes.
Volume of cylinder: πr²h
π2.5²(20) = 392.7 cm³
Volume of sphere: 4/3πr³
4/3π2.5³ = 65.45 cm³
392.7 - 65.45 = 327.25
The amount of space in the container unoccupied by the rubber balls is 327 cm³.
Answer:
Step-by-step explanation:
H0 : μ = 46300
H1 : μ > 46300
α = 0.05
df = n - 1 = 45 - 1 = 44
Critical value for a one tailed t-test(since population standard deviation is not given).
Tcritical = 1.30
The test statistic :(xbar - μ) ÷ (s/sqrt(n))
The test statistic, t= (47800-46300) ÷ (5600√45)
t = 1500
t = 1500 / 834.79871
t = 1.797
The decision region :
Reject H0: if t value > critical value
1. 797 > 1.30
Tvalue > critical value ; We reject H0
Hence, there is sufficient evidence to conclude that cost has increased.
Answer:
5/8.
Step-by-step explanation:
Prob( Card is > 5) = number of cards > 5 / total number of cards
= 5/8
