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3 years ago

9

Use the given graph to determine the limit, if it exists. A

1 answer:

Dmitriy789 [7]3 years ago

4 0

Check the picture below.

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Stephanie earned 8 points for every book she read over the summer. The equation y = 8x represents Stephanie's points based on th

7nadin3 [17]

Answer: multiply 8 on all x number of books read

Step-by-step explanation:

1 is 8 because 8 × 1 is 8

2 is 16 because 8 × 2 is 16

3 is 24 because 8 × 3 is 24

4 is 32 because 8 × 4 is 32

5 is 40 because 8 × 5 is 40

6 is 48 because 8 × 6 is 48

7 is 56 because 8 × 7 is 56

8 is 64 because 8 × 8 is 64

9 is 72 because 8 × 9 is 72

10 is 80 because 8 × 10 is 80

8 0

3 years ago

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

Find the value of x.

Artemon [7]

I believe it is 83 because a straight line is 180 degrees

6 0

4 years ago

Which is longer 2 feet or 30 inches

Marizza181 [45]

30 inches is longer....

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3 years ago

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The equation that represents the canned goods order is 24x + 64y = 384, where x = number of minutes spent producing fruit cans,

Lubov Fominskaja [6]

So wee need to find x

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3 years ago

Read 2 more answers