What are the values of a,b,c,and d
1 answer:
Answer:
see explanation
Step-by-step explanation:
Given that and
are parallel lines then
a = 35 ( alternate angle )
The sum of the angles in a triangle = 180°, thus
b = 180 - (90 + a) = 180 - (90 + 35) = 180 - 125 = 55
b and c form a straight angle, thus
c = 180 - b = 180 - 55 = 125
d = 55 ( alternate to b )
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Answer:
The bulbs should be replaced each 1060.5 days.
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, that is, the value of X when Z has a pvalue of 0.01. So X when Z = -2.325.
The bulbs should be replaced each 1060.5 days.