PLEASE HURRY i need help solving this pls ty
1 answer:
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<u>Answer:</u>
Both Sally ans Manny can detail a car in 20.6 min.
<u>Solution: </u>
Let us assume that together they will take total x minutes to detail the car.
Sally detail the car in 50 min.
So in 1 min sally can detail \left(\frac{1}{50}\right) of the car.
Hence in x min sally can detail \left(\frac{x}{50}\right) of the car.
Manny can detail a car in 35 min.
So in 1 min many can detail \left(\frac{1}{35}\right) of the car.
Hence in x min Manny can detail \left(\frac{x}{35}\right) of the car.
So we can say,
\left(\frac{x}{50}\right)+\left(\frac{x}{35}\right)=1
x\left(\frac{1}{50}+\frac{1}{35}\right)=1
x\left(\frac{7+10}{350}\right)=1
\left(\frac{17 x}{350}\right)=1
x=\left(\frac{350}{17}\right)=20.5
8 20.6
So, both of them can detail a car in 20.6 min.
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>
<span>
Part B:
The mean of a binomial distribution is given by
</span>
<span>
The standard deviation is given by:
</span>
<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 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>
<span>
Part B:
The mean of a binomial distribution is given by
</span>
<span>
The standard deviation is given by:
</span>
<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>