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.
Answer:
10.50
Step-by-step explanation:
16.50-6
Answer:
The answer is 
Step-by-step explanation:
when writing scientific notation, there must be one number to the left of the decimal point.
To achieve this in this problem, you need to move the decimal point 3 times to the right.
because you are moving the point to the right, the exponent will be negative.
*rule of thumb: moving the decimal to the left will give you a positive exponent, moving to the right will give you a negative exponent*
therefore you answer should be written as:

hope this helps :)
Answer:
The answer to your question is b = 8.06 cm
Step-by-step explanation:
Data
hypotenuse = c = 9 cm
long leg = b = ?
short leg = a = 4 cm
Process
This is a right triangle so we must use the Pythagorean theorem to find the length of the long leg (b)
c² = a² + b²
-Solve for b²
b² = c² - a²
-Substitution
b² = 9² - 4²
-Simplification
b² = 81 - 16
b² = 65
-Result
b = 8.06 cm
Answer:
yes!
Step-by-step explanation:
if it has a 90° angle it is a right triangle :)