For a rational number to have a terminating decimal expansion
q should be in the form 5^m and 2^n or both. If q is not in the form of either then it is a non terminating recurring decimal expansion
Answer:
2x3 − 11x2 + 16x − 3
Step-by-step explanation:
Answer:
A reflection over the <em>y</em>-axis.
Answer:
52.07
Step-by-step explanation:
sin of an angle is the opposite side over the hypotenuse
sin 51 = x/67
Multiply each side by 67
67 sin 51 = x
52.06877942 =x
Rounding to the nearest hundredth
52.07 =x
Answer:
0.3036 = 30.36% probability that at least 9 of the flashlights function properly.
Step-by-step explanation:
For each flashlight, there are only two possible outcomes. Either it works, or it does not. Flashlights are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
Flashlight works correctly if both its batteries have acceptable voltages:
Each battery has an 88% = 0.88 probability of working correctly(having acceptable voltage), so the probability of the flashlight working correctly is given by:

10 flashlights.
This means that 
What is the probability that at least 9 of the flashlights function properly?
This is

In which




0.3036 = 30.36% probability that at least 9 of the flashlights function properly.