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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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Employees from Company A and Company B both receive annual bonuses. What information would you need to test the claim that the d
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Answer:

Step-by-step explanation:

This is a test of the mean difference between 2 independent groups or populations.

Let μ1 be the mean annual bonus of Company A's employees and μ2 be the mean annual bonus of Company B's employees.

The random variable is μ1 - μ2 = difference in the mean annual bonus of Company A's employees and the mean annual bonus of Company B's employees

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 ≤ μ2 H0 : μ1 - μ2 ≤ 100

The alternative hypothesis is

H1 : μ1 > μ2 H1 : μ1 - μ2 > 100

This is a right tailed test because of the inequality sign at the alternative hypothesis. We need to take samples of annual bonuses from both company's employees and find the averages. Then we would determine the test statistic as well as the p value. We would use the p value with the level of significance to make decisions

5 0
3 years ago
62,000 is 1/10th of​
djyliett [7]

Answer:

Should be 620,000

Step-by-step explanation:

5 0
2 years ago
Liam's breakfast was an egg and cheese biscuit with a carton of milk. He spent a total of $5.65. Finn spent $7.65 on an egg and
ruslelena [56]

Answer:

An egg and cheese biscuit was $3.65.

Step-by-step explanation:

Liam's breakfast was:

P = E + C + M

Where:

P: total price

E: egg

C: cheese biscuit

M: carton of milk  

P = E + C + M

5.65 = E + C + M   (1)

Now, Finn's breakfast was:

P = E + C + 2*M

7.65 = E + C + 2*M   (2)      

By subtracting equation (2) from (1) we have:

7.65 - 5.65 = 2M - M

M = 2

Hence, the price of a carton of milk is $2, so by entering this value into equation (1) we can find the price of an egg and cheese biscuit:

5.65 = E + C + M

5.65 - 2 = E + C

E + C = 3.65

Therefore, an egg and cheese biscuit was $3.65.

I hope it helps you!

7 0
3 years ago
John has 8 cm pieces of toy train track and Tom has 18 cm pieces of train track. How many of each
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Answer: 13cm each.

Step-by-step explanation:

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=13cm

7 0
3 years ago
Read 2 more answers
-3x-7y=37 which ordered pair is a solution to this equation
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In this item, we are not given with the choices for the ordered pair which could be the solution to the given equation. What can be done is to assume a value for one of the variables and solve for the other. To be able to find one that satisfies let x be equal to zero and substitute to the given equation.

    -3(0) - 7y = 37

Simplifying,
  
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The value of y from the equation is 37/7. Thus, one of the ordered pairs that satisfies the equation is,

   (0, 37/7)
7 0
3 years ago
Read 2 more answers
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