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3 years ago

Write words to match the expression 3+(4*12)

Mathematics

1 answer:

Mama L [17]3 years ago

4 0

This can be written in many ways, but one of them would be "Three more than the product of 4 and 12".

The word product implies the use of multiplication and the word more than implies the initial addition.

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. Which of the following statements is not true?

lesantik [10]

Answer:

If x^2 = 1, then x = 1 is NOT true because x can also be -1.

6 0

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.

8 0

3 years ago

It is an unfair coin with unknown probability of head and tail. Can you generate even odds using this coin?

Vladimir79 [104]

Answer:

Yes, it can be generated if $p = \frac{n}{n+1}$ , where n is a positive even integer.

Step-by-step explanation:

An odds for an event, is the probability or chance that this event will occur, divided by the probability that it will not occur.

Assume that the probability of getting tail when throwing the coin is $p$ , therefore, the probability of getting a head is $(1-p)$ and the odds for the event of getting tail is $\frac{p}{1-p}$ .

If $k$ is a positive integer, and we assume that the odds of getting a tail are even, then:

$\frac{p}{1-p} = 2k$

$p = 2k - 2kp$

$p = \frac{2k}{2k+1}$

Conclusion: if $p = \frac{2k}{2k+1}$ , for some positive integer $k$ , even odds are generated. For example: $p = 2/3, 4/5, 6/7, ..$ .

6 0

3 years ago

6. Write the following multiplications as exponential abbreviations.

romanna [79]

Answer:

6. A= 5^2 B= 7^4 C=2^3 D=9^5

7. A= i dont know B= i dont know C=5*5*5 D=i dont know

Step-by-step explanation:

4 0

3 years ago

If x = 2y + 3 and 4x – 5y = 9, what is the value of y?<br> A. 2<br> B. 1<br> C. -1<br> D. -2

maria [59]

Answer:

Steps shown in picture provided

6 0

3 years ago