Find point P that divides segment AB into a 2:3 ratio. The point should be closer to A. A(-3,1) and B(3,5). p=

1 answer:

8 0

To find the point that divides the segment into a 2:3 partition, a formula can be used. The formula is:

[ x1 + (ratio)*(x2 - x1) , y1 + (ratio)*(y2 - y1) ]

Substituting the given values:

[ -3 + (2/5)*(3 + 3) , 1 + (2/5)*(5 - 1) <span>]
</span>(-0.6 , 2.6)

Therefore, the point P that divides segment AB into a 2:3 ratio is found at (-0.6 , 2.6).

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A political pollster conducted a study to determine political party loyalty. To do so, he selected a random sample of 100 regist

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Answer: (a)

P - Value = 0.0981 is high, this indicates stronger evidence that we should fail to reject the null hypothesis: H0: pD = pR (There is no significant difference between the proportion of Democrats who plan to vote for the Democratic candidate in the upcoming election and the proportion of Republicans who plan to vote for the Republican candidate in the upcoming election). P - Value = 0.0981 is the probability of obtaining results at least as extreme as the observed results of the Hypothesis Test, assuming that the null hypothesis is correct.

(b)

Since P - Value = 0.0981 is greater than \alpha = 0.05, the difference is not significant. Fail to reject null hypothesis.

(c)

Since in the Hypothesis Test, we have failed to reject null hypothesis, we could have made: Type II Error: Failure to reject a false null hypothesis. One potential consequence of this error is as follows:

Suppose in reality there is significant difference between the proportion of Democrats who plan to vote for the Democratic candidate in the upcoming election and the proportion of Republicans who plan to vote for the Republican candidate in the upcoming election. But the political pollster wrongly concludes that there is no significant difference between the proportion of Democrats who plan to vote for the Democratic candidate in the upcoming election and the proportion of Republicans who plan to vote for the Republican candidate in the upcoming election. Type II Error is committed in this situation. The consequence of this Type II Error is that the political pollstar will that the political parties are loyal and will not do any follow up work whereas in reality it is not so.

Step-by-step explanation:

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Compare and contrast the rate 4/5 mile in 8 minutes and 4 minutes to travel 2/5 mile

Gwar [14]

The values of the rates 4/5 mile in 8 minutes and 4 minutes to travel 2/5 mile are equal

<h3>How to compare and contrast the rates?</h3>

The rates are given as:

Rate 1 = 4/5 mile in 8 minutes

Rate 2 = 2/5 mile in 4 minutes

Calculate the above rates

This is done as follows:

Rate 1 = 1/10 mile per minute

Rate 2 =1/10 mile per minute

When the rates are calculated, the values are 1/10 mile per minute

Hence, the values of the rates 4/5 mile in 8 minutes and 4 minutes to travel 2/5 mile are equal