Answer:
123 i think
Step-by-step explanation:
Answer:
volume of cube share box = 67.92 inch²
Step-by-step explanation:
given data
soccer ball volume = 85.3π cubic inches
solution
we know that ball will fit inside the box when box length will be equal to diameter of ball
and here soccer ball volume will be express as
soccer ball volume =
.................1
85.3π =
solve it we get
r³ = 69.9765
r = 4.12 inch
so diameter = 2 × 4.12 = 8.24 inch
diameter = length of box side
volume of cube share box = a²
volume of cube share box = 8.24²
volume of cube share box = 67.92 inch²
Answer:
$3.25
Step-by-step explanation:
Given that:
Mean, λ = 1.4
Strike within next minute = $3 won
Strike between one and 2 minutes = $5
Strike more than 2 minutes = $1
Probability that next strike occurs within the next minute :
Using poisson :
P(x < 1) = 1 - e^-(λx) ;
P(x < 1) = 1 - e^-(1.4*1) = 1 - e^-1.4
P(x < 1) = 1 - 0.2465969
P(x < 1) = 0.7534030
Next strike occurs between 1 and 2 minutes :
(1 < x < 2) :
P(x < 2) - P(x < 1)
P(x < 2) = 1 - e^-(λx) ;
P(x < 2) = 1 - e^-(1.4*2) = 1 - e^-2.8
P(x < 2) = 1 - 0.0608100
P(x < 2) = 0.9391899
P(x < 2) - P(x < 1)
0.9391899 - 0.7534030 = 0.1857869
P(striking after 2 minutes)
P(x > 2) = e^-(λx) ;
P(x > 2) = e^-(1.4*2) = e^-2.8
P(x > 2) = 0.0608100
Amount charged :
(0.7534030 * 3) + (0.1857869 * 5) + (0.06081 * 1)
= 3.2499
= $3.25
Answer:
positive
Step-by-step explanation: