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3 years ago

11

Which situation shows a constant rate of change.

2 answers:

krek1111 [17]3 years ago

7 0

D is the answer hope this helped

lana [24]3 years ago

3 0

D because it is the only one that is unpredictable

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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

Maxine has a poster of her favorite ascertaining in her bedroom. The poster is 2.5 feet tall and 1.3 feet wide.what is the area

Archy [21]

Answer:

3.25 ft

Step-by-step explanation:

A = bh

A = (2.5)(1.3)

A = 3.25

4 0

3 years ago

Read 2 more answers

Keller lives in a city with 54,706 people. Dawson lives in a city with 45,802 people. How can the two cities that Keller and Daw

Genrish500 [490]

Answer:

54,706 > 45,802

Step-by-step explanation:

Well, as you know, the > symbol means that one number has a greater value than another. For example, 2 > 1. The way we can find that out is using subtraction. Take 54,706 - 45,802, and if that number is positive, then the first number is greater than the other.

54,706 - 45,802 = 8,904

8,904 is a positive.

Therefore, 54,706 > 45,802.

6 0

3 years ago

Read 2 more answers

X=7 what is 3x pleasee help i need this by tomorrow

Romashka [77]

Answer:

$x = 7 \\ 3x = 3(7) = 21$

hope helpful <3

4 0

2 years ago

What will be the coordinates of vertex N' of the image? (-2, 4) (-2, 6) (-4, 4) (-4, 8)

QveST [7]

Option B is correct (-2,6)

3 0

3 years ago

Read 2 more answers