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guapka [62]
3 years ago
8

Solve the system of linear equations by graphing. Check your solution.

Mathematics
1 answer:
Phantasy [73]3 years ago
8 0
Without the graph the answer is (2,-1)
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Find the mean, median, mode, and range of the data set.
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Solve the system of linear equations using matrices.<br> x+6y=7<br> x + 5y=4
Rzqust [24]

Answer:

1+6y= "7y=7"

1+5y= "6y=4"

Step-by-step explanation:

X represents "1" so you replace your "X" with "1" and solve the equation.

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4 0
3 years ago
Suppose the scores on an exam are normally distributed with a mean μ = 75 points, and standard deviation σ = 8 points.
Artyom0805 [142]

Answer:

P(X>69)=P(\frac{X-\mu}{\sigma}>\frac{69-\mu}{\sigma})=P(Z>\frac{69-75}{8})=P(Z>-0.75)

And we can find this probability on this way:

P(Z>-0.75)=1-P(Z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problm

Let X the random variable that represent the scores on an exam of a population, and for this case we know the distribution for X is given by:

X \sim N(75,8)  

Where \mu=75 and \sigma=8

We are interested on this probability

P(X>69)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>69)=P(\frac{X-\mu}{\sigma}>\frac{69-\mu}{\sigma})=P(Z>\frac{69-75}{8})=P(Z>-0.75)

And we can find this probability on this way:

P(Z>-0.75)=1-P(Z

4 0
3 years ago
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