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3 years ago

Four points partition the directed line segment from A to B.

Mathematics

2 answers:

Bezzdna [24]3 years ago

7 0

You have ratios 3:4, 4:3, 2:5 and 5:2. Each of these ratios is such that in total gives 7.

Divide segment AB in seven equal parts. Then:

Point P partitions the directed line segment from A to B into a 3:4 ratio. This means that point P lies three such parts to the right from point A and four such parts to the left from point B.
Point Q partitions the directed line segment from A to B into a 4:3 ratio. This means that point Q lies four such parts to the right from point A and three such parts to the left from point B.
Point R partitions the directed line segment from A to B into a 2:5 ratio. This means that point R lies two such parts to the right from point A and five such parts to the left from point B.
Point S partitions the directed line segment from A to B into a 5:2 ratio. This means that point S lies five such parts to the right from point A and two such parts to the left from point B.

As you can see the closest point to point B is point S, because it lies 2 parts to the left from point B and and this amount of parts is the smallest one.

Answer: correct choice is point S.

Nataliya [291]3 years ago

4 0

Answer:

Point S

Step-by-step explanation:

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Ket [755]

The three decimals that Mrs. Ibara wote were
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Now we have to find the other two numbers that are kept blank.
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6.30 - 4.15 = 2.15
Now let us check the difference between the second and the third decimals.
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3 years ago

Dos angulos son congruentes si tienen la misma amplitud

Margarita [4]

Answer:

true

Step-by-step explanation:

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3 years ago

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STALIN [3.7K]

Answer:

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Step-by-step explanation:

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3 years ago

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Aleks [24]

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3 years ago

A researcher is interested in comparison of male and female students of Rutgers University in terms of how many hours they study

nekit [7.7K]

Answer:

Step-by-step explanation:

Hello!

The researcher is interested in comparing how many hours per week the students dedicate to studying regarding their gender.

Let 1 denote the females and 2 denote the males, the parameter of interest will be the difference between the average weekly study hours of female students and the average weekly hours of study of male students, symbolically:

μ₁ - μ₂

If the objective is to see if there is any difference between the average weekly study hours, the statistical hypotheses are:

H₀: μ₁ - μ₂ = 0

H₁: μ₁ - μ₂ ≠ 0

α: 0.02

The calculated statistic is $Z_{H_0}$ = 2.86

This Hypothesis test is two-tailed, meaning that the rejection region is divided in two tails, using the critical value approach:

$Z_{\alpha /2}= Z_{0.01}= -2.334$

$Z_{1-\alpha /2}= Z_{1-0.01}= Z_{0.99}= 2.334$

The decision rule is:

If $Z_{H_0}$ ≤ -2.334 or if $Z_{H_0}$ ≥2.334, then you reject the null hypothesis.

If -2.334 < $Z_{H_0}$ < 2.334, then you do not reject the null hypothesis.

$Z_{H_0}$ is greater than the upper critical value, so the decision is to reject the null hypothesis.

Then using a 2% significance level, the test is significant, you can conclude that the population mean weekly study hours of female students and the population mean weekly hours of study of male students are different.

I hope this helps!

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3 years ago