Which point is on the circle described by (x - 2)2 + (y + 3)2 = 4?

a. (2, -5)
b. (2, 0)
c. (0, 0)
d. (1, -4)

 The correct option is (A) (2, -5).

Step-by-step explanation:  We are to select the point that is on the circle described by the following equation :

Option (A) :

(x, y) = (2, -5).

We have

So, the point (2, -5) lies on the circle (i). And so, option (A) is correct.  

Option (B) :

(x, y) = (2, 0).

We have

So, the point (2, 0) lies outside the circle (i). And so, option (B) is incorrect.

Option (C) :

(x, y) = (0, 0).

We have

So, the point (0, 0) lies outside the circle (i). And so, option (C) is incorrect.  

Option (D) :

(x, y) = (1, -4).

We have

So, the point (2, -5) lies inside the circle (i). And so, option (D) is incorrect.  

Thus, (A) is the correct option.

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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