Answer:
a) The probability of falling in the warranty period is 11.6%.
b) The warranty period need to be 19771 km to ensure that no more than 5 per cent of tires fail in the warranty period.
Step-by-step explanation:
a) To fall within the warranty period, the tire has to fail before the 20,000 km.
To calculate the probability, we first calculate the z-value:

Then, the probability of falling in the warranty period is:

b) To calculate this we have to go on from a P(z<z₁)=0.05. This happens for z=-1.645.
This corresponds to a value X of:
The warranty period need to be 19771 km to ensure that no more than 5 per cent of tires fail in the warranty period.
The value of the digit 5 in the ten millions place would be 50,000,000, where the digit 5 in the hundreds place would be 500. Therefore, that would be 5x as much. (I was having a hard time understanding, please reply and make it more clear, thanks and have a good day! =D)
Answer:
<h2>We have 47% of chances to win those six bucks.</h2>
Step-by-step explanation:
In this problem we need to find the probabilty of winning thos $6.
According to the problem, we win $6 if we hit one red. We know that there are 18 red compartments, 18 black compartments and 2 neither red nor blakc, for a total of 38 compartments.
We need to use the standard probabilty definition which is the ratio between the number of events and the total number of outcomes. So,

Which is equivalent to 47% of chances.
Therefore, we have 47% of chances to win those six bucks. (The Casino has the odds in their favor)
From this question I take it that you need to know what is 130% of 45 mg. 130% of 45 is equal to 1.3x45, which is 58.3. So, your answer is 58.3 mg of the vitamin.