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3 years ago

8

How to determine if set of vectors is linearly independent?

1 answer:

zimovet [89]3 years ago

7 0

The vectors $\{v_1,v_2,...,v_p\}\in \mathbb{R}^n$ are linearly independent if the ONLY solution to the following equation:

$c_1v_1+c_2v_2+...c_pv_p=0$

is $c_1=c_2=...=c_p=0$

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About 9/10 Of the avocados grown in the United States are in California about what percent of our car is going in the United Sta

artcher [175]

Answer:

9/10 x 100% = 90%

Step-by-step explanation:

The question is asking us to convert the given fraction, 9/10, to percentage. As we know, to convert any number to percentage, we simply multiple by 100%. We are not changing the value because 100% means 100/100 = 1. So, we are basically multiplying by 1.

Since we are told that 9/10 avocados grown in the US are grown in California, then the percentage would be:

9/10 x 100% = 90%

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3 years ago

How smart am I from a scale of 1-10?

oee [108]

Answer:

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3 out of 10

Step-by-step explanation:

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3 years ago

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The average lifetime of a certain new cell phone is 3.4 years. The manufacturer will replace any cell phone failing within three

melisa1 [442]

Answer:

68% of these phones last 3.87 years.

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

The average lifetime of a certain new cell phone is 3.4 years.

This means that $m = 3.4, \mu = \frac{1}{3.4} = 0.2941$

So

$P(X \leq x) = 1 - e^{-0.2941x}$

68% of these phones last how long (in years)?

This is x for which:

$P(X \leq x) = 0.68$

$P(X \leq x) = 1 - e^{-0.2941x}$

Then

$0.68 = 1 - e^{-0.2941x}$

$e{-0.2941x} = 0.32$

$\ln{e{-0.2941x}} = \ln{0.32}$

$-0.2941x = \ln{0.32}$

$x = -\frac{\ln{0.32}}{0.2941}$

$x = 3.87$

68% of these phones last 3.87 years.

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3 years ago

Does anyone play animal crossing new Horizons?

Amiraneli [1.4K]

Answer:

no i don't even got a Nintendo bruders

Step-by-step explanation:

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3 years ago

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Solve for k and show step by step how you did it. <br> 3-3k+7k=5b

Gnesinka [82]

Answer:

k= 5b-3/

4

Step-by-step explanation:

3−3k+7k=5b

(Combine −3k and 7k to get 4k.)

3+4k=5b

(Subtract 3 from both sides)

4k=5b−3

(Divide both sides by 4.)

k= 5b-3/

4

6 0

3 years ago