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Alla [95]
2 years ago
6

Eunique scores 20 points during the game. This is eleven more than three-fifths of the points she scored in previous game. How m

any points Eunique score in previous game?
Mathematics
1 answer:
Ket [755]2 years ago
6 0

Answer:

Step-by-step explanation:

If we call the points she scored in the last game x, we can actually write out an equation to describe what is being said.  20=11+(3/5)x.  Hopefully that makes sense.  3/5 of the previous score plus 11 is 20.  Anyway, you can just solve this algebraic expression for x.

20=11+(3/5)x subtract 11 from both sides

9 = 3/5 x Multiply both sides by 5

45 = 3x then divide both sides by 3

15 = x And there you go.  

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1. The data given below includes data from 42 ​candies, and 7 of them are red. The company that makes the candy claims that 33​%
jeyben [28]

Answer:

The 95% confidence interval for true proportion of red candies is (5%, 27%).

The true proportion of red candies made by the company is different from 33%.

Step-by-step explanation:

The hypothesis to determine whether the claim made by the candy company is correct or not is:

<em>H</em>₀: The true proportion of red candies made by the company is 33%, i.e. <em>p</em> = 0.33.

<em>Hₐ</em>: The true proportion of red candies made by the company is different from 33%, i.e. <em>p</em> ≠ 0.33.

A (1 - <em>α</em>)% confidence interval can be constructed to check this claim.

The decision rule is:

If the confidence interval consists the null value then the null hypothesis will not be rejected. Otherwise it will be rejected.

The (1 - <em>α</em>)% confidence interval for population proportion is:

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

The information provided is:

<em>n</em> = 42

<em>X</em> = number of red candies = 7

Compute the sample proportion of candies that are red as follows:

\hat p=\frac{X}{n}=\frac{7}{42}=0.167

The critical value of <em>z</em> for 95% confidence level is:

z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

*Use a <em>z</em>-table for the critical value.

Compute the 95% confidence interval for true proportion of red candies as follows:

CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\=0.167\pm 1.96\times \sqrt{\frac{0.167(1-0.167)}{42}}\\=0.16\pm0.1137\\=(0.0463, 0.2737)\\\approx(0.05, 0.27)

The 95% confidence interval for true proportion of red candies is (5%, 27%).

The confidence interval does not contains the null value.

Thus, the null hypothesis will be rejected at 5% level of significance.

Conclusion:

The true proportion of red candies made by the company is different from 33%.

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antiseptic1488 [7]

Answer:

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Step-by-step explanation:

If i understood it correctly .

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Only doubt i have is  : if the question is asking how many got on the 2nd stop.  also i was not clear what does this line means - At the first stop, four people get off and to get on.

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