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3 years ago

The sum of two numbers is 12.if three times the larger is added to twice the smaller the result is 33. Find the answer

1 answer:

7 0

So for this you start by figuring out all the numbers that add up to equal 12.
(0,12)(1,11)(2,10)(3,9)(4,8)(5,7)(6,6)
Then you put them into the equation 3l+2s=33 l=the larger number and s=the smaller number
To save space I'm only going to do the numbers that are the answers.
(3,9) 3(9)+2(3)=33
27+6=33
33=33
TADA

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Nataly_w [17]

Answer:

The p value obtained and using the significance level assumed $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidenc to reject the null hypothesis, and we can said that at 5% of significance the proportion of new laptop's with fully charge for the new model is significantly higher compared to the old model.

Step-by-step explanation:

1) Data given and notation n

n=100 represent the random sample taken

X=96 represent the laptop's arrived with fully charged batteries.

$\hat p=\frac{96}{100}=0.96$ estimated proportion of laptop's arrived with fully charged batteries.

$p_o=0.85$ is the value that we want to test

$\alpha=0.05$ 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 new model’s rate is at least as high as the previous model.:

Null hypothesis: $p \leq 0.85$

Alternative hypothesis: $p > 0.85$

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:

$z=\frac{0.96 -0.85}{\sqrt{\frac{0.85(1-0.85)}{100}}}=3.08$

4) Statistical decision

P value method or p value approach . "This method consists on 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 $\alpha=0.05$ . The next step would be calculate the p value for this test.

Since is a one side test the p value would be:

$p_v =P(z>3.08)=0.0010$

So based on the p value obtained and using the significance level assumed $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidenc to reject the null hypothesis, and we can said that at 5% of significance the proportion of new laptop's with fully charge for the new model is significantly higher compared to the old model.

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3 years ago

Which set of line segments could create a right triangle?

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3 years ago

Dagne measures and finds that she can do a vertical jump that is 27.5% of her height. If Dagne is 48 inches tall, how high can s

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Answer:

She can jump 13.2 inches.

Step-by-step explanation:

In order to compute how high Dagne can jump we must find how much is 27.5% of 48 inches. We can do that by applying a rule of three, where 48 inches is to 100% as x inches is to 27.5%. In this case x will be the height of her jump. So we have:

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Answer:

Step-by-step explanation:

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