Answer: Satisfied for n=1, n=k and n=k+1
Step-by-step explanation:
The induction procedure involves two steps
First is
Basic Step
Here we consider that for the value n=1, there is one car and it will always make the full circle.
Induction Step
Since basic step is satisfied for n=1
Now we do it for n=k+1
Now according to the statement a car makes full circle by taking gas from other cars as it passes them. This means there are cars that are there to provide fuel to the car. So we have a car that can be eliminated i.e. it gives it fuels to other car to make full circle so it is always there.
Now ,go through the statement again that the original car gets past the other car and take the gas from it to eliminate it. So now cars remain k instead of k+1 as it's fuel has been taken. Now the car that has taken the fuel can make the full circle. The gas is enough to make a circle now.
So by induction we can find a car that satisfies k+1 induction so for k number of cars, we can also find a car that makes a full circle.
She made the mistake in step 4
She should have divided by -2 not just 2 alone
Answer:
The percent of the people who tested positive actually have the disease is 38.64%.
Step-by-step explanation:
Denote the events as follows:
<em>X</em> = a person has the disease
<em>P</em> = the test result is positive
<em>N</em> = the test result is negative
Given:
Compute the value of P (P|X) as follows:
Compute the probability of a positive test result as follows:
Compute the probability of a person having the disease given that he/she was tested positive as follows:
The percentage of people having the disease given that he/she was tested positive is, 0.3864 × 100 = 38.64%.
Complete question
Shop A _________________ shop B £3
Any sandwich - £2.85 ___ sandwich, water crisp
A bottle of water - 60p
A bag of crisp - 85p
Answer:
£6.50, John is incorrect
Step-by-step explanation:
Number of working days = 5 = number of days meal is purchased
Total cost per meal, shop A :
£(2.85 + 0.60 + 0.85) = £4.3
Total cost for the week = 4.3 * 5 = £21.50
Total cost per meal cost Shop B = £3
Total cost for the week = 3 * 5 = £15
Difference :
£21.50 - £15 = £6.50
Hence, Amount John saves by buying from shop B is £6.50
Numbe
