Point P partitions the directed line segment from A to B into the ratio 3:4. Will P be closer to A or B? Why?

Mathematics

2 answers:

vova2212 [387]3 years ago

8 0

Answer:

It’s a

Step-by-step explanation:

FrozenT [24]3 years ago

4 0

Answer:

option : A

Step-by-step explanation:

We are given that a point P partitions the directed line segment from A to B into the ratio 3:4.

Now we need to find that to which point will point P will lie closer to i.e. either to Point A or to Point B.

Since Point P partition the directed line segment AB in the ratio 3:4 that means the The distance of P from A is some 3x for some arbitrary real number 'x'.

and the distance of P from B is '4x'.

Hence P is closest to A as the distance of P from A is shorter as compared to B.

Hence, option A is correct.

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The combined math and verbal scores for students taking a national standardized examination for college admission, is normally d

kipiarov [429]

Answer:

The minimum score that such a student can obtain and still qualify for admission at the college = 660.1

Step-by-step explanation:

This is a normal distribution problem, for the combined math and verbal scores for students taking a national standardized examination for college admission, the

Mean = μ = 560

Standard deviation = σ = 260

A college requires a student to be in the top 35 % of students taking this test, what is the minimum score that such a student can obtain and still qualify for admission at the college?

Let the minimum score that such a student can obtain and still qualify for admission at the college be x' and its z-score be z'.

P(x > x') = P(z > z') = 35% = 0.35

P(z > z') = 1 - P(z ≤ z') = 0.35

P(z ≤ z') = 1 - 0.35 = 0.65

Using the normal distribution table,

z' = 0.385

we then convert this z-score back to a combined math and verbal scores.

The z-score for any value is the value minus the mean then divided by the standard deviation.

z' = (x' - μ)/σ

0.385 = (x' - 560)/260

x' = (0.385×260) + 560 = 660.1

Hope this Helps!!!