(x + 7)^2 – 11 = 0 lesser = greater =
2 answers:
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Answer:
Step-by-step explanation:
exponential function :
where a = y intercept and b = factor ( what you multiply by )
looking at the table the y intercept is at (0,10) so a = 10
so we now have y = 10 * (b)^x
to find the factor we simply plug in one of the ordered pairs.
note that the ordered pair chosen does not effect the outcome
i chose (2,250)
we have y = 10 * (b)^x
(x,y) = (2,250)
250 = 10 * (b)^2
divide both sides by 10
25 = b^2
take the square root of both sides
5 = b
the final equation would be f(x) = 10 * (b)^x
Answer:
The bulbs should be replaced each 1436.9 hours.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
How often should the bulbs be replaced so that no more than 1% burn out between replacement periods?
This is the first percentile of hours. So it is X when Z has a pvalue of 0.01.
So it is X when Z = -2.33.
The bulbs should be replaced each 1436.9 hours.