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Vilka [71]
4 years ago
8

A water well rig has dug to a height of -60 feet after one full day of continuous use. if the rig has been running and is curren

tly at a height of -143.6 feet, for how long has the rig been running?
Mathematics
1 answer:
Romashka [77]4 years ago
6 0

Given :

A water well rig has dug to a height , H = 60 feet after one full day of continuous use .

To Find :

If the height is currently 143.6 feet how time it been running .

Solution :

It is given that height after 24 hours of use is 60 feet .

So , height loose in 1 hours is :

h=\dfrac{60}{24}\ feet\\\\h=2.5 \ feet

Now , time taken to cover a height of 143.6 feet is :

t = \dfrac{143.6}{2.5}\ hours\\\\t=57.44\ hours

Therefore , time taken is 57.44 hours .

Hence , this is the required solution .

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Among freshman at a certain university, scores on the Math SAT followed the normal curve, with an average of 550 and an SD of 10
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Answer:

a) 6.68th percentile

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Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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.

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Z = \frac{X - \mu}{\sigma}

Z = \frac{400 - 550}{100}

Z = -1.5

Z = -1.5 has a pvalue of 0.0668

So this student is in the 6.68th percentile.

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He needs a score of X when Z has a pvalue of 0.75. So X when Z = 0.675.

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0.675 = \frac{X - 550}{100}

X - 550 = 0.675*100

X = 617.5

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