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3 years ago

12

What is the solution?( no solution or all real numbers) -3(x-1) > -3x - 2.

1 answer:

Step2247 [10]3 years ago

6 0

Answer:

No solution

Step-by-step explanation:

So first we have to Distribute;

-3x + 3 > -3x - 2

This is an solution which means that they can never intersect on a graph.

We can solve further if you want;

Add 3x to both sides;

The x cancel themselves out.

3 > -2

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Round 4.432 to the nearest tenth.

Slav-nsk [51]

Answer:

4.4

Step-by-step explanation:

The tenth place in this number is 4.<u>4</u>32, so that should be the last digit.

Now, we need to know wether to round up or down. That is determined by the digit that comes after it. <em>If that digit, here it is the hundredth, is 0-4, it rounds down, if it is 5-9, it rounds up</em>. Our next digit is <em>3</em>, which goes into the first category, <em>so the number rounds down</em>, so the tenth remains the same. That leaves us with 4.4.

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2 years ago

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Assuming that the ship travels at a constant speed, what is its speed?

Ilia_Sergeevich [38]

Answer: S= d/p

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2 years ago

The U.S. and many other countries have recently tightened airport security. A sociologist is interested in estimating the propor

melisa1 [442]

Answer:

0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.

Step-by-step explanation:

Conduct a test to determine whether the true proportion of interest is higher than 0.7.

This means that the null hypothesis is: $H_{0}: p = 0.7$

And the alternate hypothesis is: $H_{a}: p > 0.7$

The test statistic is:

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

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

0.7 is tested at the null hypothesis:

This means that $\mu = 0.7, \sigma = \sqrt{0.7*0.3}$

The sociologist found that 375 of the 500 travelers randomly selected and interviewed indicated that the airports were safe.

This means that $n = 500, X = \frac{375}{500} = 0.75$

Value of the z-statistic:

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

$z = \frac{0.75 - 0.7}{\frac{\sqrt{0.7*0.3}}{\sqrt{350}}}$

$z = 2.44$

P-value of the test:

Probability of z being larger than 2.44, that is, a proportion larger than 0.75.

This is, looking at the z-table, 1 subtracted by the pvalue of Z = 2.44. S

Z = 2.44 has a pvalue of 0.9927

1 - 0.9927 = 0.0073

0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.

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3 years ago

$34.98 with 8.2 tax

Paraphin [41]

Answer:

$37.85

Step-by-step explanation:

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1.082($34.98) = $37.85 (rounded to the nearest cent)

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3 years ago

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