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.
Domain {3, 4, 0, 4, 3}
Range {-2, 4, -2, 1, 2}
hope it helps
Dilation refers to a non rigid motion where a figure is transform and its image has the same form but a different size measure.
Dilation is define by the rule (x,y)-- (kx, ky) where k represents the scale factor.
On this exercise is given that a triangle with vertices (-2,1), (8,4), and (3,0) was dilated by a scale factor of four, and it is asked to find the vertices of the image of the triangle after the dilation occurred.
Pre-image Image
(-2,1) -- (-2*4,1*4) -- (-8,4)
(8,4) -- (8*4,4*4) -- (32,16)
(3,0) -- (3*4,0*4) -- (12,0)
The coordinates representing the vertices of the triangle's image are (-8,4), (32,16), and (12,0); meaning that the ordered pair which is not a coordinate for a point in the triangle's image is (2,1).
Answer:
where is the statements
Step-by-step explanation:
Answer:
r=1
Step-by-step explanation:
<u>Ratio of Values
</u>
A ratio compares two values by diving them. If the ratio is greater than one, then the value in the numerator is greater than the value in the denominator. The opposite relation gives ratios lower than 1. A ratio of 1 means both values are the same
We have a set of tiles numbered 1 to 30:
1,2,3,4,5,6...,29,30
Note that each odd-numbered tile is followed by an even-numbered tile. It means we have 15 odd tiles and 15 even tiles. The ratio is
r=1
