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3 years ago

8

Carla is riding a motorcycle across the country. After 4 hours, she is 600 miles from Denver. After 8 hours, she is 320 miles fr

om Denver. What is the total distance, in miles, to Denver from where Carla started riding?

2 answers:

KengaRu [80]3 years ago

6 0

I wanna say 920 but may be wrong

lana66690 [7]3 years ago

6 0

If at 4 hours the distance away from Denver is 600 miles and after another 4 hours the distance is 320 miles. If every 4 hours they gain 280 miles then at the starting point there was 880 miles.

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Divide. enter your solution as a mixed number.

Yakvenalex [24]

Answer: 30 6/29

Step-by-step explanation: 6132 \ 203 is 30 and 42/203. 42/203 simplified is 6/29

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2 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

Lindsay got her haircut the cost of a haircut for $16 if she wants to tip for hairstylist 20% how much does she leave for the ti

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Answer:

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Step-by-step explanation:

I hope this helps.

Sorry if I'm wrong.

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2 years ago

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Answer:

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2 years ago

Read 2 more answers

-0.312 as a fraction in simplest form

Black_prince [1.1K]

Answer:

It's -39/125

Step-by-step explanation:

Rewrite the decimal number as a fraction with 1 in the denominator

Multiply to remove 3 decimal places. Here, you multiply top and bottom by 103 = 1000

Find the Greatest Common Factor (GCF) of 312 and 1000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 8

Therefore

X=39/125

In conclusion,

−0.312=−39/125

4 0

3 years ago

Read 2 more answers