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noname [10]
3 years ago
9

Use an inverse matrix to solve for the system of equations.

Mathematics
1 answer:
IrinaK [193]3 years ago
4 0

Answer:

(-1, 7, 2)

Step-by-step explanation:

we suppose that ax + by + cz = d for the matrix

D = det [ 0    4     7] = 100

              -6   0    -2

               1    2     8

Dx= det [ 14    4     7] = - 100

               10   0    -2

               -3    2     8

Dy= det [ 0    14    7] = 700

               -6   10    -2

                1    -3    8

Dz = det [ 0    4    14] = 200

               -6   0     10

                1    2     -3

So the solution is:

x = Dx/D = -1, y = Dy/D= 7, z =Dz/D = 2

(-1, 7, 2)

have a good day!

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Natasha_Volkova [10]

Answer:

-7 is your answer

Step-by-step explanation:

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other.

4 + y = -3

Subtract 4 from both sides

4 (-4) + y = -3 (-4)

y = -3 - 4

y = -7

-7, or (D) is your answer

~

6 0
4 years ago
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A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and
disa [49]

Answer:

z =\frac{50-64}{7}= -2

z =\frac{43-64}{7}= -3

We know that within two deviations from the mean we have 95% of the data from the empirical rule so then below 2 deviation from the mean we have (100-95)/2 % =2.5%. And within 3 deviations from the mean we have 99.7% of the data so then below 3 deviations from the mean we have (100-99.7)/2% =0.15%

And then the final answer for this case would be:

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Step-by-step explanation:

For this case we have the following parameters from the variable number of motnhs in service for the fleet of cars

\mu = 64, \sigma =7

For this case we want to find the percentage of values between :

P(43< X< 50)

And we can use the z score formula given by:

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

In order to calculate how many deviation we are within from the mean. Using this formula for the limits we got:

z =\frac{50-64}{7}= -2

z =\frac{43-64}{7}= -3

We know that within two deviations from the mean we have 95% of the data from the empirical rule so then below 2 deviation from the mean we have (100-95)/2 % =2.5%. And within 3 deviations from the mean we have 99.7% of the data so then below 3 deviations from the mean we have (100-99.7)/2% =0.15%

And then the final answer for this case would be:

2.5 -0.15 = 2.35\%

3 0
3 years ago
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Answer:

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Step-by-step explanation:

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21Answer:21

Step-by-step explanation:

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