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3 years ago

Write a matrix to represent the system of equations.

Mathematics

2 answers:

ioda3 years ago

7 0

Answer:

7 -1 6 | -8

7 -5 7 | 1

0 1 -4 | -5

Step-by-step explanation:

Note that there are four columns in this system, representing the variables x, y and z and constants. So the given matrix pattern is appropriate: It has three columns for the coefficients of x, y and z and one column for the constants.

We need only identify the coefficients and transfer them into the appropriate boxes of the matrix pattern.

We get:

7 -1 6 -8

7 -5 7 1

0 1 -4 -5

ozzi3 years ago

5 0

7 - 1 + 6 | 8

7 - 5 + 7 | 1

3 - 4 | -5

mark my answer as brainlist please

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2√6 ∙ √8 + 2√12 show your work please and thank you

meriva

Answer:

Step-by-step explanation:

multiply first,

so 2√6 x √8 = 2√48 (because when radicals are multiplied we add them)

2√48 can be simplified to 8√3 and 2√12 can be simplified to 4√3

8√3+4√3=12√3

8 0

3 years ago

Lakeisha has 3 5/8 yards of fabric. She wants to make a dress that requires 2 1/2 yards of fabric. How much fabric will she have

mezya [45]

1/2 = 4/8

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3 years ago

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For f(x) = 4x +1 and g(x) = x2 -5, find (f 3)(x).

Georgia [21]

D!! It’s super easy I hope you can learn how to do it

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3 years ago

A manufacturer produces light bulbs that have a mean life of at least 500 hours when the production process is working properly.

denpristay [2]

Answer:

We conclude that the population mean light bulb life is at least 500 hours at the significance level of 0.01.

Step-by-step explanation:

We are given that a manufacturer produces light bulbs that have a mean life of at least 500 hours when the production process is working properly. The population standard deviation is 50 hours and the light bulb life is normally distributed.

You select a sample of 100 light bulbs and find mean bulb life is 490 hours.

Let $\mu$ = population mean light bulb life.

So, Null Hypothesis, $H_0$ : $\mu \geq$ 500 hours {means that the population mean light bulb life is at least 500 hours}

Alternate Hypothesis, $H_A$ : $\mu$ < 500 hours {means that the population mean light bulb life is below 500 hours}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample mean bulb life = 490 hours

σ = population standard deviation = 50 hours

n = sample of light bulbs = 100

So, the test statistics = $\frac{490-500}{\frac{50}{\sqrt{100} } }$

= -2

The value of z test statistics is -2.

Now, at 0.01 significance level the z table gives critical value of -2.33 for left-tailed test.

Since our test statistic is higher than the critical value of z as -2 > -2.33, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the population mean light bulb life is at least 500 hours.

7 0

3 years ago

What is the equation for: 32 is the sum of a number x and 9

KengaRu [80]

Answer:

x + 9 = 32

Step-by-step explanation:

answer for x is 32 - 9 = 23

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2 years ago