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Andre45 [30]
3 years ago
9

What is the largest number of consecutive integers whose sum is 2003?

Mathematics
1 answer:
Sladkaya [172]3 years ago
4 0
2003 \div 2=1001.5

Go .5 below and .5 above this answer to get your consecutive integers.

Therefore the answer is 1001 and 1002.
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in a program designed to help patients stop smoking 232 patients were given sustained care and 84.9% of them were no longer smok
grandymaker [24]

Answer:

z=\frac{0.849 -0.8}{\sqrt{\frac{0.8(1-0.8)}{232}}}=1.869  

p_v =2*P(Z>1.869)=0.0616  

If we compare the p value obtained and the significance level given \alpha=0.05 we see that 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 5% of significance the proportion of adults were no longer smoking after one month is not significantly different from 0.8 or 80% .  

Step-by-step explanation:

1) Data given and notation

n=232 represent the random sample taken

X represent the adults were no longer smoking after one month

\hat p=0.849 estimated proportion of adults were no longer smoking after one month

p_o=0.80 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

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 true proportion is 0.8.:  

Null hypothesis:p=0.8  

Alternative hypothesis:p \neq 0.8  

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{0.849 -0.8}{\sqrt{\frac{0.8(1-0.8)}{232}}}=1.869  

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=0.05. The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

p_v =2*P(Z>1.869)=0.0616  

If we compare the p value obtained and the significance level given \alpha=0.05 we see that 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 5% of significance the proportion of adults were no longer smoking after one month is not significantly different from 0.8 or 80% .  

6 0
3 years ago
The Texas School Supply Company makes composition notebooks for students. The cost to manufacture 6 notebooks is $30. At this ra
Lina20 [59]

Answer:

Step-by-step explanation:

If it costs $30 to make 6 notebooks then that is $5 for each notebook. So multiply $5 times 50 and you get $250.

6 0
3 years ago
I bought three shirts that had equivalent retail values I use 15 gift certificate at the time of purchase and paid a total of 81
Vlada [557]

Answer:

Each shirt costed $27

each

Step-by-step explanation:

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2 years ago
Which is an example of the distributive property?
yulyashka [42]

Answer:  D.

Step-by-step explanation:

The distributive property is when you distribute the numbers to make solving easier. This means getting rid of the parentheses. SO your answer would either be A or D.

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Based on one of the Triangle Congruence Postulates, the two triangles are shown are congruent
tankabanditka [31]

Answer:

true

Step-by-step explanation:

all the sides match up. One side (the base) is shared which means they are the same length. The triangle at the top has a single hash on a side and so does the bottom one. This means they are the same length. The same thing occurs with the last remaining sides, they are congruent because they both have two hash lines. Since all three sides of both triangle add up, the triangles ARE CONGRUENT.

3 0
2 years ago
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