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LekaFEV [45]
2 years ago
15

Un rectangulo de madera se uso para en marcar un espejo en forma de rombo.Si los lados del marco miden 80.5 cm y 36.4, y las dia

gonales del rombo tienen las mismas medidas de dichos lados ¿cual es el area del espejo?
Mathematics
1 answer:
QveST [7]2 years ago
8 0

Answer:

1465.1 cm²

Step-by-step explanation:

El espejo en forma de diamante tiene la forma de rombo

Tenga en cuenta que: las diagonales del rombo tienen las mismas medidas de esos lados

Por lo tanto, el área del espejo se calcula como:

1/2 × Diagonal 1 × Diagonal 2

Diagonal 1 = 80.5 cm

Diagonal 2 = 36.4 cm

= 1/2 × 80.5 cm × 36.4 cm

= 2930.2 cm² / 2

= 1465.1 cm²

Por tanto, el área del espejo es 1465.1 cm².

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The number of events is 29​, the number of trials is 298​, the claimed population proportion is​ 0.10, and the significance leve
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So the p value obtained was a very high value and using the significance level given \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 interest is not significantly different from 0.1 .  

Step-by-step explanation:

1) Data given and notation

n=298 represent the random sample taken

X=29 represent the events claimed

\hat p=\frac{29}{298}=0.0973 estimated proportion

p_o=0.1 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 proportion is 0.1 or no.:  

Null hypothesis:p=0.1  

Alternative hypothesis:p \neq 0.1  

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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.

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

z=\frac{0.0973 -0.1}{\sqrt{\frac{0.1(1-0.1)}{298}}}=-0.155  

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

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We can do the test also in R with the following code:

> prop.test(29,298,p=0.1,alternative = c("two.sided"),conf.level = 1-0.05,correct = FALSE)

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