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Angelina_Jolie [31]
3 years ago
10

Determine if the statement is true or false. If a linear system has the same number of equations and variables, then it must hav

e a unique solution. True False Justify your answer.
Mathematics
1 answer:
lutik1710 [3]3 years ago
5 0

Answer:

False

Step-by-step explanation:

Consider the equations with the same number of equations and variables as shown below,

<u>Case 1</u>

                        x_{1} + x_{2} = 0\\x_{1} + x_{2} = 1

This equation has no solution because it is not possible to have two numbers that give a sum of 0 and 1 simultaneously.

<u>Case 2</u>

                       x_{1} + x_{2} = 1\\2x_{1} + 2x_{2} = 2

This equation has infinitely many possible solutions.

Therefore it is FALSE to say a linear system with the same number of equations and variables, must have a unique solution.

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Is 9.4 rational or irrational :p, please help
densk [106]

Answer:

i think its rational.  

Step-by-step explanation:

7 0
3 years ago
Annual starting salaries in a certain region of the U. S. for college graduates with an engineering major are normally distribut
defon

Answer:

0.8665 = 86.65% probability that the sample mean would be at least $39000

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean $39725 and standard deviation $7320.

This means that \mu = 39725, \sigma = 7320

Sample of 125:

This means that n = 125, s = \frac{7320}{\sqrt{125}} = 654.72

The probability that the sample mean would be at least $39000 is about?

This is 1 subtracted by the pvalue of Z when X = 39000. So

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

By the Central Limit Theorem

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

Z = \frac{39000 - 39725}{654.72}

Z = -1.11

Z = -1.11 has a pvalue of 0.1335

1 - 0.1335 = 0.8665

0.8665 = 86.65% probability that the sample mean would be at least $39000

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2 years ago
What is 1 7/8 rounded to the nearest yards?
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It would be 2...........
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3 years ago
Need helppp asap plsss i added a pic ​
svetlana [45]
16/2
According to PEMDAS

Multiplying/dividing comes first when you read the equation from left to right
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Find the value of x. PLEASE HELP!!!!
Diano4ka-milaya [45]

Answer:

Step-by-step explanation:

Because of the right angle (90 deg) in red, and the horizontal line on the bottom axis,

we know that :

49 + (1+5x) = 90

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