Which ordered pair is a solution of the equation? y-3=5(x-2) Choose 1

A

Only (2,3)

B

Only (3,2)

C

Both (2,3) (3,2)

D

Neither

  A  Only (2, 3)

Step-by-step explanation:

The given equation is in point-slope form:

  y -k = m(x -h) . . . . . a line with slope m through point (h, k)

The point in the given equation is ...

  (h, k) = (2, 3)

so you know the equation is satisfied at that point.

__

When you try the other point, you find ...

  For (x, y) = (3, 2), you have

  2 -3 = 5(3 -2)

  -1 = 5(1) . . . . FALSE

Point (3, 2) does not satisfy the equation.

  Only (2, 3) is a solution of the equation

_____

Of course, the equation of a line is satisfied by an infinite number of points. Of the two listed here, only (2, 3) is a solution.

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step-by-step explanation:

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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