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2 years ago

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3) Tell whether the matrices are inverses of

1 answer:

Anettt [7]2 years ago

8 0

These matrices ARE inverses of each other!

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Astronauts on the International Space Station commonly face a health issue that some people on Earth experience as well. Researc

Ludmilka [50]

Answer:

C

Step-by-step explanation:

In space you have to exercise 24/7, because if you don't your bones will decay little by little, the same goes for earth, it is a condition that happens if you don't move or exercise.

If possible; can I get brainliest, I mean if it's correct

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2 years ago

Read 2 more answers

3. A new process has been developed for applying pho toresist to 125-mm silicon wafers used in manufac turing integrated circu

dlinn [17]

Answer:

a

The null hypothesis is $H_o : \mu = 13.4000$

The alternative hypothesis is $H_a : \mu \ne 13.4000$

The null hypothesis is rejected

b

The 99% confidence level is $13.3930 < \mu < 13.3994$

Step-by-step explanation:

From the question we are told that

The sample size is n = 10

The population mean is $\mu = 13.4 000 \ angstroms$

The level of significance is $\alpha = 0.05$

The sample data is

13.3987, 13.3957, 13.3902, 13.4015, 13.4001, 13.3918, 13.3965, 13.3925, 13.3946, and 13.4002

Generally the sample mean is mathematically represented as

$\= x = \frac{13.3987+ 13.3957\cdots +13.4002 }{10}$

=> $\= x = 13.3962$

Generally the sample standard deviation is mathematically represented as

$\sigma = \sqrt{\frac{\sum (x_i - \= x)^2}{n} }$

=> $\sigma = \sqrt{\frac{ (13.3987 - 13.3962)^2 + (13.3987 - 13.3962)^2 + \cdots + (13.3987 -13.4002)^2 }{10} }$

=> $\sigma =0.0039$

The null hypothesis is $H_o : \mu = 13.4000$

The alternative hypothesis is $H_a : \mu \ne 13.4000$

Generally the test statistics is mathematically represented as

$z = \frac{\= x - \mu}{\frac{\sigma}{\sqrt{n} } }$

=> $z = \frac{13.3962 - 13.4000}{\frac{0.0039}{\sqrt{10} } }$

=> $z = 3.08$

Generally the p-value is mathematically represented as

$p-value = 2P( z > 3.08)$

From the z-table $P(z > 3.08)= 0.001035$

So

$p-value = 2* 0.001035$

$p-value = 0.00207$

So from the obtained value we see that

$p-value < \alpha$

Hence the null hypothesis is rejected

Consider the b question

Given that the confidence level is 99% then the level of significance is

$\alpha = (100 -99)\%$

=> $\alpha = 0.01$

Generally from the normal distribution table critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 2.58$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }$

=> $E = 2.58 * \frac{0.0039}{\sqrt{10} }$

=> $E = 0.00318$

Generally the 99% confidence interval is mathematically represented as

$13.3962 - 0.00318 < \mu < 13.3962 + 0.00318$

=> $13.3930 < \mu < 13.3994$

7 0

3 years ago

What does it mean to solve an equation?

Ivanshal [37]

To add, subtract, multiply or divide the number given to get a whole number or an integer

4 0

3 years ago

The expression 9n + 3 represents the perimeter (in meters) of the triangle. Write an expression in the simplest form that repres

AlexFokin [52]

Answer:

4n+2

Step-by-step explanation:

add all sides =9n+3
3n+2+2n-1=9n+3
add liketerms 5n+1=9n+3
put liketerms together 9n-5n+3-1
ans hence is 4n+2

5 0

2 years ago

Express 10000 in Index form

9966 [12]

Answer:

10^4

Step-by-step explanation:

10×10×10×10=10,000, which is given number.

4 0

2 years ago