Assuming that the corner of the fence has right angle, the the area that the dog wandered will be given by:
A=θ/360πr²
Where:
θ=360-90=270°
r=49 ft
hence the area will be:
A=270/360×π×49²
A=5657.23 ft²
Thus the dog will wander in the area of 5657.23 ft²
Answer:
0.070
Step-by-step explanation:
Y = number on trial
Y has a negative binomial distribution
r = 3
P = 30% = 0.3 probability of positive indication.
P(Y = 11) probability of 11 employees that must be tested to get 3 positives
Y-1Cr-1*p^r*q^(y-r)
Y-1 = 11-1 = 10
r-1 = 3 -1 = 2
10C2 x 0.3³x0.7⁸
45x0.027x0.05764801
= 0.070
This is the probability that 11 employees must be tested to get 3 positives.
Answer:
d) 2x(4x + 2)
Step-by-step explanation:
a) 4(2x + 1) = 8x + 4
b) 1/2(16x + 8) = 8x + 4
c) 2(4x + 2) = 8x + 4
d) 2x(4x + 2) = 8x² + 4x
Answer:(2/5)j^2
Step-by-step explanation:
Answer: £450
Step-by-step explanation:
If they bought 2 tickets, they could get an extra ticket for free. As there are three of them, they would buy 2 tickets, get one for free and then buy another ticket to make it four.
In that case they would have only paid for 3 tickets.
The total cost of 3 tickets is:
= 600 * 3
= £1,800
The 4 of them would therefore have to pay:
= 1,800 / 4
= £450