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Marianna [84]
3 years ago
5

Solve the system: x' = (2 4 -1 6)x

Mathematics
1 answer:
sertanlavr [38]3 years ago
6 0

Answer:

x=e^{8t}+c

Step-by-step explanation:

we have given x'=(24-16)x=8x

x' denotes the differenation

\frac{dx}{dt}=8x  differentiation is performed with respect to t

by variable separable method we can write  

\frac{dx}{x}=8dt

on integrating both side

lnx=8t+c

x=e^{8t}+c (property of log )

so the solution for x will be x=e^{8t}+c

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Name the numerator and the denominator in each fraction 11/12 7/512 12/10 0/78
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Costs of homes can be very different in different parts of the United States. a. A 450-square-foot apartment in New York City co
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Answer:

The cost of homes per square foot differs in different part of the United states. The cost of homes per square foot is gotten by using the formula:

cost of homes per square foot = Cost of apartment / area of apartment

1) Cost of apartment = $540000, area of apartment = 450 ft²

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Step-by-step explanation:

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Aloiza [94]

Answer:

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The length of time a person takes to decide which shoes to purchase is normally distributed with a mean of 8.21 minutes and a st
madam [21]

Answer:

4.55% probability that a randomly selected individual will take less than 5 minutes to select a shoe purchase.

Since Z > -2 and Z < 2, this outcome is not considered unusual.

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.

If Z \leq 2 or Z \geq 2, the outcome X is considered to be unusual.

In this question:

\mu = 8.21, \sigma = 1.9

Find the probability that a randomly selected individual will take less than 5 minutes to select a shoe purchase.

This is the pvalue of Z when X = 5. So

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4.55% probability that a randomly selected individual will take less than 5 minutes to select a shoe purchase.

Since Z > -2 and Z < 2, this outcome is not considered unusual.

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3 years ago
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