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3 years ago

What is the product?

Mathematics

1 answer:

fiasKO [112]3 years ago

6 0

Answer: the third option is correct

Step-by-step explanation:

The first matrix is a 2 × 3 matrix while the second matrix is a 3 × 2 matrix. To get the product of both matrices, we would multiply each term in each row by the terms in the corresponding column and add.

1) row 1, column 1

1×2 + 3×3 + 1×4 = 2 + 9 + 4 = 15

2) row 1, column 2

1×-2 + 3×5 + 1×1 = - 2 + 15 + 1 = 14

3) row 2, column 1

-2×-2 + 1×3 + 0×4 = - 4 + 3 + 0 = - 1

4) row 2, column 2

- 2×-2 + 1×5 + 0×1 = 4 + 5 = 9

The solution becomes

15 14

- 1 9

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harkovskaia [24]

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so, we get

$=\frac{8}{12}$

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So, simplest form is

$=\frac{2}{3}$ ..............Answer

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4 years ago

A sample of 1500 computer chips revealed that 37% of the chips fail in the first 1000 hours of their use. The company's promotio

andreyandreev [35.5K]

Answer:

$z=\frac{0.37 -0.39}{\sqrt{\frac{0.39(1-0.39)}{1500}}}=-1.59$

Step-by-step explanation:

Data given and notation

n=1500 represent the random sample taken

$\hat p=0.37$ estimated proportion of of chips fail in the first 100 hours

$p_o=0.39$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the actual percentage that fail is different from the stated percentage. Find the value of the test statistic.:

Null hypothesis: $p=0.39$

Alternative hypothesis: $p \neq 0.39$

When we conduct a proportion test we need to use the z statisitc, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.37 -0.39}{\sqrt{\frac{0.39(1-0.39)}{1500}}}=-1.59$

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3 years ago

Which rate can you set 7 miles/1 hour equal to in order to find the distance traveled in 49 hours at 7 miles per hour?

Sergeu [11.5K]

Answer:

you will have traveled 363 miles

Step-by-step explanation:

7 times 49

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363

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4 years ago

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Reika [66]

Answer:

Step-by-step explanation:

it is maximum.

when leading coefficient of x² is negative,

It is downward parabola.

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4 years ago

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alina1380 [7]

Answer:

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Step-by-step explanation that seem kinda hard.

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4 years ago

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