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lianna [129]
3 years ago
13

(3+h)^3-27/h Lim--->0 help pls. ...?

Mathematics
1 answer:
iragen [17]3 years ago
7 0
[(3 + h)³ - 27]/h
= (27 + 27h + 9h² + h³ - 27) /h
= h(h² + 9h + 27)/h
= h² + 9h + 27
h → 0
= 0 + 0 + 27
= 27
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A grocery stores studies how long it takes customers to get through the speed check lane. They assume that if it takes more than
Lemur [1.5K]

Answer:

4.65% probability that a randomly selected customer takes more than 10 minutes

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.

In this question, we have that:

\mu = 7.45, \sigma = 1.52

Probability that a customer takes more than 10 minutes:

This is 1 subtracted by the pvalue of Z when X = 10. So

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

Z = \frac{10 - 7.45}{1.52}

Z = 1.68

Z = 1.68 has a pvalue of 0.9535

1 - 0.9535 = 0.0465

4.65% probability that a randomly selected customer takes more than 10 minutes

6 0
3 years ago
Rewrite as an addition problem:<br> (5w +6u) - (4w - 3u)
stepladder [879]

Answer:

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Step-by-step explanation:

(5w+ 6u ) + (-4w +3u)

this can be done by multiplying all in the second parentheses by -1.

6 0
3 years ago
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Zigmanuir [339]
The answer is 5/9

Hope this helps
8 0
2 years ago
Read 2 more answers
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valkas [14]
Heya user☺☺

Option c is correct

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6 0
3 years ago
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Snowcat [4.5K]

Answer:

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Step-by-step explanation:

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=$26,000×5/13

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5 0
3 years ago
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