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klasskru [66]
3 years ago
7

The rectangle shown has a perimeter of 156 cm and the given area. Its length is 6 more than five times its width.

Mathematics
1 answer:
Stells [14]3 years ago
8 0
P=156 cm
l=6+5w
P=2(l+w)
156=2(6+5w+w)
156=2(6+6w)
156=12+12w
12+12w=156
12w=156-12
12w=144
w=12cm

l=6+5•12
l=6+60
l=66cm
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A newspaper poll asked respondents if they trusted "eco friendly" labels on cleaning products. Out of 1000 adults surveyed, 498
Paul [167]

Answer:

So the p value obtained was a very high value and using the significance level assumed \alpha=0.05 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 5% of significance the proportion of respondents that trust these labels is not significanlty less than 0.5 or 50%.  

Step-by-step explanation:

1) Data given and notation

n=1000 represent the random sample taken

X=498 represent the adults that trust these labels

\hat p=\frac{498}{1000}=0.498 estimated proportion of respondents that trust these labels

p_o=0.5 is the value that we want to test

\alpha represent the significance level

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 of respondents that trust these labels is at least 50%:  

Null hypothesis:p\geq 0.5  

Alternative hypothesis:p < 0.5  

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.

3) Calculate the statistic  

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

z=\frac{0.498 -0.5}{\sqrt{\frac{0.5(1-0.5)}{1000}}}=-0.126  

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 is not provided but we can assume it as \alpha=0.05. The next step would be calculate the p value for this test.  

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

p_v =P(Z  

So the p value obtained was a very high value and using the significance level assumed \alpha=0.05 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 5% of significance the proportion of respondents that trust these labels is not significanlty less than 0.5 or 50%.  

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4 years ago
Use a proportion to solve:
Mariulka [41]

Answer:

420 miles

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Six PS4 games cost $348. The cost of games varies directly with the number of games. Write a direct variation equation.
Assoli18 [71]

Answer: b= 58a (divided 348 by 6 and take the equation b = ka and substitute k with 58)

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3 years ago
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TEA [102]

Answer:

the function is EVEN because f(x)= f(-x)

Step-by-step explanation:

Key to find if a function f(x) is even or odd is to replace the x with -x

if the results comes out to be f(x) then it is even function

if the results comes out to be -f(x) then it is odd function

where as graphically even f(x) will be symmetric around the y-axis and odd f(x) will be symmetric around the origin.

In given case f(x)=7

if we replace x with -x in above equation then results is 7

f(-x)= 7

hence f(x)= f(-x) = 7

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Viefleur [7K]
The answer would be 12
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3 years ago
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