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Anton [14]
3 years ago
13

One number is 17 more than 3 times another number. the sum of the two numbers is 41. find the number

Mathematics
1 answer:
stich3 [128]3 years ago
3 0
The answer is 8. 8 times 3 equals to 24. Plus 17 equals 41. Yw xD
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8^2 = 8 x 8 = 64

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8^4 = 8 x 8 x 8 x 8 = 4096

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If a rock has a mass
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A(7x+3)=b+14x what is the value of a and b
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2 years ago
The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 1700 vot
lara [203]

Answer:

z=\frac{0.66 -0.63}{\sqrt{\frac{0.63(1-0.63)}{1700}}}=2.562  

p_v =P(z>2.562)=0.0052  

So the p value obtained was a very low value and using the significance level given \alpha=0.02 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that at 2% of significance the proportion of voters that favored construction is higher than 0.63 or 63%.

Step-by-step explanation:

Data given and notation

n=1700 represent the random sample taken

\hat p=0.66 estimated proportion of voters that favored construction

p_o=0.63 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)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that percentage of residents who favor construction is more than 63%.:  

Null hypothesis:p \leq 0.63  

Alternative hypothesis:p > 0.63  

When we conduct a proportion test we need to use the z statisitc, 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.

Calculate the statistic  

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

z=\frac{0.66 -0.63}{\sqrt{\frac{0.63(1-0.63)}{1700}}}=2.562  

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>2.562)=0.0052  

So the p value obtained was a very low value and using the significance level given \alpha=0.02 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that at 2% of significance the proportion of voters that favored construction is higher than 0.63 or 63%.

7 0
3 years ago
Emily added 5 grams of water into 20 grams of 50% salt solution. She made ___ grams of ___% salt solution.
yaroslaw [1]
For the first blank, the answer should be the total weight of the solution which is derived from adding 5 grams and 20 grams. The answer would be,

        T = 5 + 20 = 25 grams

For the second blank, the % solution is derived by dividing the amount of salt initially by the total amount of the resulting solution. This is as shown below.

      C = ((20 x 0.5) / 25) x (100%)
 
Simplifying,
      C = 40%

Answers: 
    a. 25 grams
    b. 40%
8 0
3 years ago
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