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Charra [1.4K]
3 years ago
13

Which of the following are ways whole numbers and rational numbers are different? Select all that apply. ︎whole numbers are a su

bset of integers, but rational are not. ︎the set of rational numbers includes negative numbers, while the set of whole numbers does not. ︎The set of whole numbers includes negative numbers, while the set of rational numbers does not. ︎Rational numbers are a subset of integers, but whole Inumbers are not.
Mathematics
1 answer:
mihalych1998 [28]3 years ago
8 0

Answer:

asd

Step-by-step explanation:

asd

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denpristay [2]

Answer:

x = \frac{3+\sqrt{105} }{8}  , \frac{3-\sqrt{105} }{8}  x=1.655,-0.905

Step-by-step explanation:

3x+6 = 4x^2

4x^2 -3x -6 = 0

x = \frac{3+\sqrt{105} }{8}  , \frac{3-\sqrt{105} }{8}  x=1.655,-0.905

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Evaluate:<br> 10 x [(6 + 4) = 2]
svetlana [45]

Answer:

You have to pay close attention to the Order of Operations.

10(6+4)/2. Grouping symbols first.

6+4=10.

10(10)/2

10*10=100.

100/2.

50 is your answer

Step-by-step explanation:

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4.1

Step-by-step explanation:

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Find the area of the composite shape. Make sure to show your work.​
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Answer:

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Step-by-step explanation:

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3 years ago
The mayor of a town has proposed a plan for the annexation of a new bridge. A political study took a sample of 1000 voters in th
garri49 [273]

Answer:

z=\frac{0.42 -0.39}{\sqrt{\frac{0.39(1-0.39)}{1000}}}=1.945  

p_v =P(Z>1.945)=0.0259  

If we compare the p value obtained with the significance level given \alpha=0.02 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 2% of significance the proportion of residents who favored annexation is not significantly higher than 0.39.  

Step-by-step explanation:

1) Data given and notation  

n=1000 represent the random sample taken

\hat p=0.42 estimated proportion of residents who favored annexation

p_o=0.39 is the value that we want to test

\alpha=0.02 represent the significance level

Confidence=98% or 0.98

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the proportion is higher than 0.39:  

Null hypothesis:p\leq 0.39  

Alternative hypothesis:p > 0.39  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

3) Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.42 -0.39}{\sqrt{\frac{0.39(1-0.39)}{1000}}}=1.945  

4) Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \alpha=0.02. The next step would be calculate the p value for this test.  

Since is a right tailed test the p value would be:  

p_v =P(Z>1.945)=0.0259  

If we compare the p value obtained with the significance level given \alpha=0.02 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 2% of significance the proportion of residents who favored annexation is not significantly higher than 0.39.  

4 0
3 years ago
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