Answer: To find the slope of this line, you would use the fomula
y2 - y1/ x2 - x1
11 - 3 / 1 - (-1)=
8/2
4
The slope of your line would be 4
Given that X <span>be the number of subjects who test positive for the disease out of the 30 healthy subjects used for the test.
The probability of success, i.e. the probability that a healthy subject tests positive is given as 2% = 0.02
Part A:
</span><span>The probability that all 30 subjects will appropriately test as not being infected, that is the probability that none of the healthy subjects will test positive is given by:
</span>
![P(X)={ ^nC_xp^x(1-p)^{n-x}} \\ \\ P(0)={ ^{30}C_0(0.02)^0(1-0.02)^{30-0}} \\ \\ =1(1)(0.98)^{30}=0.5455](https://tex.z-dn.net/?f=P%28X%29%3D%7B%20%5EnC_xp%5Ex%281-p%29%5E%7Bn-x%7D%7D%20%5C%5C%20%20%5C%5C%20P%280%29%3D%7B%20%5E%7B30%7DC_0%280.02%29%5E0%281-0.02%29%5E%7B30-0%7D%7D%20%5C%5C%20%20%5C%5C%20%3D1%281%29%280.98%29%5E%7B30%7D%3D0.5455%20)
<span>
Part B:
The mean of a binomial distribution is given by
</span>
![\mu=np \\ \\ =30(0.02) \\ \\ =0.6](https://tex.z-dn.net/?f=%5Cmu%3Dnp%20%5C%5C%20%20%5C%5C%20%3D30%280.02%29%20%5C%5C%20%20%5C%5C%20%3D0.6)
<span>
The standard deviation is given by:
</span>
![\sigma=\sqrt{np(1-p)} \\ \\ =\sqrt{30(0.02)(1-0.02)} \\ \\ =\sqrt{30(0.02)(0.98)}=\sqrt{0.588} \\ \\ =0.7668](https://tex.z-dn.net/?f=%5Csigma%3D%5Csqrt%7Bnp%281-p%29%7D%20%5C%5C%20%5C%5C%20%3D%5Csqrt%7B30%280.02%29%281-0.02%29%7D%20%5C%5C%20%5C%5C%20%3D%5Csqrt%7B30%280.02%29%280.98%29%7D%3D%5Csqrt%7B0.588%7D%20%5C%5C%20%20%5C%5C%20%3D0.7668)
<span>
Part C:
This test will not be a trusted test in the field of medicine as it has a standard deviation higher than the mean. The testing method will not be consistent in determining the infection of hepatitis.</span>
The decimal between it are 6.7
Answer:
$2,677.72
Step-by-step explanation:
L = 3C
P
4P + 3L = 1,580.62
2L + 5C = 1,340.90
4P + 5L + 3C = ?
2L + 5C = 1,340.90
6C + 5C = 1,340.90
11C = 1,340.90
C = 121.90
121.90 * 3 = 365.70
L = 365.70
4P + 3L = 1,580.62
365.70 * 3 = 1,097.10
4P = 483.52
P = 120.88
C = 121.90
L = 365.70
P = 120.88
4P + 5L + 3C = ?
4(120.88) + 5(365.70) + 3(121.90) = 2,677.72