In circle with a 12-inch radius , find the length of a segment joining the midpoint of 20-inch chord and the center of the circl
1 answer:
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ΔACB and ΔMNB are similar. Therefore the corresponding sides are in proportion:
Substitute:
Answer: Hello!
Ok, because the bulbs are wired in series, then if only one fails, all the string fails.
Then we need to see the probability for the 20 bulbs to not fail.
If the probability for each bulb to fail is 0.02, then the complement (or the probability of working fine) is 1 - 0.02 = 0.98
then we have 20 bulbs, and each one has a probability of 0.98 of working alright, then the probability for all them to work alright is the multiplication of this probabilities, this is
= 0.6676
rounded up in the decimal, we have 0.668
then the correct answer is c.
Answer:
There is a 2.28% probability that it takes less than one minute to find a parking space. Since this probability is smaller than 5%, you would be surprised to find a parking space so fast.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by
After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X.
Also, a probability is unusual if it is lesser than 5%. If it is unusual, it is surprising.
In this problem:
The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of 7 minutes and a standard deviation of 3 minutes, so .
We need to find the probability that it takes less than one minute to find a parking space.
So we need to find the pvalue of Z when
has a pvalue of 0.0228.
There is a 2.28% probability that it takes less than one minute to find a parking space. Since this probability is smaller than 5%, you would be surprised to find a parking space so fast.