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3 years ago

13

c. Which volume-to-surface-area ratio would be better for an ice cube¡X the lowest possible or the highest possible?

1 answer:

White raven [17]3 years ago

7 0

Answer: You would want to have the highest possible volume to surface area ratio in an ice cube.

When you put ice into your drink, the goal is to have the ice chill your drink. This takes time. Therefore, you would want the ice to slow melt and cool the drink for as long as you can.

If your ice cube is mostly surface area with less volume, it will melts to quickly and water down your drink. If your ice cube has a higher ratio of volume to surface area, it will stay solid longer and chill your drink longer.

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Recommended daily intake of fiber

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25 grams per day that is the recommended daily intake of fiber

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3 years ago

A survey was conducted in the United Kingdom, where respondents were asked if they had a university degree. One question asked,

katovenus [111]

Answer:

$z=\frac{0.121-0.0892}{\sqrt{0.101(1-0.101)(\frac{1}{373}+\frac{1}{639})}}=1.620$

$p_v =2*P(Z>1.620)=0.105$

If we compare the p value and using any significance level for example $\alpha=0.05$ always $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the the two proportions are not statistically different at 5% of significance

Step-by-step explanation:

Data given and notation

$X_{1}=45$ represent the number of correct answers for university degree holders

$X_{2}=57$ represent the number of correct answers for university non-degree holders

$n_{1}=373$ sample 1 selected

$n_{2}=639$ sample 2 selected

$p_{1}=\frac{45}{373}=0.121$ represent the proportion of correct answers for university degree holders

$p_{2}=\frac{57}{639}=0.0892$ represent the proportion of correct answers for university non-degree holders

z would represent the statistic (variable of interest)

$p_v$ represent the value for the test (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the proportions are different between the two groups, the system of hypothesis would be:

Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{45+57}{373+639}=0.101$

Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.121-0.0892}{\sqrt{0.101(1-0.101)(\frac{1}{373}+\frac{1}{639})}}=1.620$

Statistical decision

For this case we don't have a significance level provided $\alpha$ , but we can calculate the p value for this test.

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

$p_v =2*P(Z>1.620)=0.105$

If we compare the p value and using any significance level for example $\alpha=0.05$ always $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the the two proportions are not statistically different at 5% of significance

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3 years ago

Multiply (-6 + i)(-2 + 9i).

malfutka [58]

Answer:

b

Step-by-step explanation:

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irina1246 [14]

....................

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3 years ago

Using the order of operations, what is the last calculation that should be done to evaluate

mel-nik [20]

200-(-2) is actually 200-1(-2)

So thats multiplication

Then its 200+2

So addition is the last calculation to be done.

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3 years ago

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