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MariettaO [177]
3 years ago
13

Which set of ordered pairs represents a function?

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
4 0

Answer:

(1,2) and (1,5)

Step-by-step explanation:

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There are 120 men and 380 women in the disco live show. What is the ratio of women to men in the show?
Paladinen [302]

Answer:

6:19

Step-by-step explanation:

There are 120 men and 380 women.

The ratio of women to men in the show is 120:380.

Simplify 120:380.

⇒ 6:19

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3 years ago
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Which of the given points would be in a table generated by the equation below?
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3 years ago
Isidro wants to purchase a used scooter that costs 79.95 the sales tax is found by multiplying the price of the scooter by 0.065
OLEGan [10]

Answer:

85.15

Step-by-step explanation:

79.95 x 0.065 = 5.197

79.95 + 5.197 = 85.15

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2 years ago
In a survey, the planning value for the population proportion is p* = 0.35. How large a sample should be taken to provide a 95%
lions [1.4K]

Answer:

n=\frac{0.35(1-0.35)}{(\frac{0.05}{1.96})^2}=349.59  

And rounded up we have that n=350  

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

p represent the real population proportion of interest

\aht p represent the estimated proportion for the sample

n is the sample size required (variable of interest)

z represent the critical value for the margin of error

Solution to the problem

The population proportion have the following distribution  

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})  

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:  

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96  

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}} (a)  

And on this case we have that ME =\pm 0.05 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2} (b)

And replacing into equation (b) the values from part a we got:  

n=\frac{0.35(1-0.35)}{(\frac{0.05}{1.96})^2}=349.59  

And rounded up we have that n=350  

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What is the value of 2/7 divided by 4/9
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Answer:9

Step-by-step explanation:

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