This table displays the height of a balloon as it floats away.
2 answers:
Answer:
The height increases by 9.5 ft as the time increases by 1 minute.
Step-by-step explanation:
We have been given a table that displays the height of a balloon as it floats away. We are asked to find the rate of change for the height as the time increases by 1 minute.
Rate of the change for the height of balloon with each minute will be equal to slope of line.
Substitute coordinates of points (10,64) and (14,102) in slope formula.
Therefore, the rate of change is 9.5 feet per minute.
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Answer:
The steps to construct a a line parallel to another line from a point includes
1) From the given line draw a transversal through the point
2) With the compass, copy the angle formed between the transversal and the given line to the point P
3) Draw a line through the intersection of the arcs of the angle construction to get the parallel line through the point P
Step-by-step explanation:
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.