Answer:
The total number of sites are 15 .
Step-by-step explanation:
As shown in question.
The number of sites in 2 shield darter = 3
The number of sites in 3 shield darter = 1
The number of sites in 4 shield darter = 4
The number of sites in 6 shield darter = 2
The number of sites in 7 shield darter = 3
The number of sites in 8 shield darter = 1
The number of sites in 9 shield darter = 1
Thus
Total number of sites = Number of sites in 2 shield darter + Number of sites in 3 shield darter + Number of sites in 4 shield darter + Number of sites in 6 shield darter + Number of sites in 7 shield darter + Number of sites in 8 shield darter + Number of sites in 9 shield darter
Putting the values in above
= 3 + 1 + 4 + 2 + 3 + 1 +1
= 15
Therefore the total number of sites are 15 .
Answer:
The probability is 
Step-by-step explanation:
From the question we are told that
The probability of the television passing the test is p = 0.95
The sample size is n = 10
Generally the comprehensive testing process for all essential functions follows a binomial distribution
i.e
and the probability distribution function for binomial distribution is
Here C stands for combination hence we are going to be making use of the combination function in our calculators
Generally the probability that at least 9 pass the test is mathematically represented as
=> ![P(X \le 9) = [^{10}C_9 * (0.95)^9 * (1- 0.95)^{10-9}]+ [^{10}C_{10} * {0.95}^{10} * (1- 0.95)^{10-10}]](https://tex.z-dn.net/?f=P%28X%20%5Cle%209%29%20%3D%20%5B%5E%7B10%7DC_9%20%2A%20%20%280.95%29%5E9%20%2A%20%20%281-%200.95%29%5E%7B10-9%7D%5D%2B%20%5B%5E%7B10%7DC_%7B10%7D%20%2A%20%20%7B0.95%7D%5E%7B10%7D%20%2A%20%20%281-%200.95%29%5E%7B10-10%7D%5D)
=> ![P(X \le 9) = [10 * 0.6302 * 0.05 ]+ [1 *0.5987 * 1 ]](https://tex.z-dn.net/?f=P%28X%20%5Cle%209%29%20%3D%20%5B10%20%2A%20%200.6302%20%20%2A%200.05%20%5D%2B%20%5B1%20%2A0.5987%20%2A%201%20%5D%20)
=>
Answer:
£15
Step-by-step explanation:
Angad : Nick = 5 : 1
Let
Nick share = x
Angad share = x + £60
Angad : Nick
5 : 1 = x + £60 : x
5/1 = x + 60 / x
Cross product
5 * x = 1 * x + 60
5x = x + 60
5x - x = 60
4x = 60
x = 60/4
x = 15
Nick get £15
