Answer:
Domain: (0,1,23)
Range: (0.35,1.35,2.35)
Step-by-step explanation: The domain is the set of all the first components of the ordered pairs, and the range is the set of all the second components of the ordered pairs.
Answer:
0.8413 = 84.13% probability of a bulb lasting for at most 605 hours.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation , the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. 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, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The standard deviation of the lifetime is 15 hours and the mean lifetime of a bulb is 590 hours.
This means that
Find the probability of a bulb lasting for at most 605 hours.
This is the pvalue of Z when X = 605. So
has a pvalue of 0.8413
0.8413 = 84.13% probability of a bulb lasting for at most 605 hours.
10 percent
----------------- = 10/40 = 1/4, or 1:4.
40 percent
Answer:
(-1,-0.5)
Step-by-step explanation:
We can see from our given graph that Fernando is at point (-4,-2) and Maria is at point (4,2). They will meet at the fountain located somewhere between them.
We can see that fountain will divide our given line segment internally, so we will use section formula, when a point internally divides a segment in ratio m:n.
Let location of Maria be point and location of Fernando be .
Upon substituting m=3 and n=5 in section formula we will get,
Therefore, the fountain is located at point (-1,-0.5).