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3 years ago

Use a matrix to solve the system: 3x + 2y – z = 17 x - 2y - 4z = 5 2x + y + 2z = 5

Mathematics

1 answer:

Andrews [41]3 years ago

3 0

Hello

Answer un excel file

$\left[\begin{array}{ccc}3&2&-1\\1&-2&-4\\2&1&2\end{array}\right] *\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}17\\5\\5\\\end{array}\right]$

Gaussian 's method

x=3

y=3

z=-2

Download xls

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7+(-14)+(-6)+13+4=-37

Kaylis [27]

Answer:

Step-by-step explanation:

7+(-14)+(-6)+13+4

7+(-20)+13+4

(-13)+13+4

0+4

4 0

3 years ago

The sum of a students three scores is 217. If the first is 30 points more than the the second, and the sum of the first two is 1

nekit [7.7K]

Answer:

First score is 90

Step-by-step explanation:

Let A represent the first score

Let B represent the second score

Let C represent the third score

A+B+C=217 equation 1

If the first score A is 30 points more than the second,B

A=B-30 equation 2

Lastly,sum of A&B is 16 more than 2C

A+B=2C+16 equation 3

From equation 1

A+B=217-C equation 4

substitute for A+B in equation 3

217-C=2C+16

217-16=2C+C

201=3C

C=67

substituting C in equation 4

A+B=217-67

A+B=150

if the first score more than the first,then the first 90 while second 60 since A+B=150

3 0

3 years ago

Read 2 more answers

The highest recorded temperature during the month of July for a given year in Death Valley, California has an approximately norm

S_A_V [24]

Answer:

$P(X$

And we can find this probability using excel or the normal standard tabe and we got:

$P(z$

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 problem

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

$X \sim N(123.8,3.1)$

Where $\mu=123.8$ and $\sigma=3.1$

We are interested on this probability

$P(X$

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:

$P(X$

And we can find this probability using excel or the normal standard tabe and we got:

$P(z$

6 0

4 years ago

What number is 344% of 107

olga55 [171]

Answer:

368.08

So I turn the numbers into fractions so 344% would be 344/100 because percentages are out of 100. Since it is 344% OF 107, you'd put 107 on the bottom of the fraction and the answer will go on top. I multiply the IS with the OF (IS is the top number and OF is the bottom) so you'd multiply 107x344 to get 36808. Since 344 is a percent (out of 100) you have to do divide the answer by 100 to get 368.08

I hope that helps!

8 0

4 years ago

What is the area of a circle with the diameter of 90?

Tomtit [17]

Answer:

6,358.5‬

Step-by-step explanation:

A=πr²

A=3.14 × 45²

A=3.14 × 2,025‬

A= 6,358.5

Sorry if its wrong

7 0

3 years ago