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emmainna [20.7K]
2 years ago
11

Use an exponential expression to calculate the area covered by purple loosestrife 7 years from now. Is this a valid

Mathematics
2 answers:
Bezzdna [24]2 years ago
6 0

The area of the wetland that will be covered in purple loosestrife 7 years from now is modeled by this expression.

500(1.2)^7

After evaluating the expression, the model predicts that approximately 1,792 acres of the wetland will be covered in purple loosestrife 7 years from now. This is not a valid prediction because the total area of the wetland is only 1,240 acres. So a constraint on the model is that the value of the expression 500(1.2)^t must be less than or equal to 1,240.

uranmaximum [27]2 years ago
4 0

Answer: 500(1.2)^7

Step-by-step explanation:

PLATO

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25/60?
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Step-by-step explanation:

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VladimirAG [237]

Answer:

9.55 cm

Step-by-step explanation:

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7 0
2 years ago
The average life of a certain type of small motor is 10 years with a standard deviation of 2 years. The manufacturer replaces fr
taurus [48]

Answer:

A guarantee of 6.24 years should be offered.

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 problem, we have that:

\mu = 10, \sigma = 2

If she is willing to replace only 3% of the motors that fail, how long a guarantee should be offered?

The 3rd percentile, that is, the value of X when Z has a pvalue of 0.03. So X when Z = -1.88.

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

-1.88 = \frac{X - 10}{2}

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X = 6.24

A guarantee of 6.24 years should be offered.

7 0
3 years ago
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