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Sonja [21]
3 years ago
8

The graph below shows the relationship between the amount of peanuts and the amount of chocolate in different packages of snack

mix for each ounce of peanuts? A.1/2 B.2/3 C.3/4 D.3/2 please i need answers !!!!

Mathematics
1 answer:
Tomtit [17]3 years ago
5 0

Answer:

Option (B)

Step-by-step explanation:

Since the linear graph is passing through the origin, there is a proportional relationship between the amount of chocolate (C) and amount of peanuts (P) used in the package of snacks mix,

P ∝ C

P = kC

k = \frac{P}{C}

Here k = proportionality constant

Since, the given line passes through a point (3, 2),

k = \frac{2}{3}

Therefore, ratio of chocolate and peanuts mixed is \frac{2}{3}.

Option (B) is the correct option.

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The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

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Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

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p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

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\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

And the confidence interval is given by:

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And for this case the interval contains the value 0.16, so then we can conclude at 5% of significance that the true proportion is not different from 0.16

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3 years ago
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Step-by-step explanation:

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