The point P(6, –1) is translated according to the rule (x, y) → (x – 5, y – 2). What are the coordinates of P'? P'(1, 2) P'(1, 1) P'(1, –3) P'(4, 4)

(1, -3)

Step-by-step explanation:

If the point P(6, –1) is translated according to the rule (x, y) → (x – 5, y – 2).

To get the coordinate of P', we will replace x as 6 and y as -1 in the translation given as shown

Coordinate of P' = (6 -5, -1, -2)

Coordinate of P' = (1, -3)

hence the coordinate of P' is (1, -3)

p'(1 -3)

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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step-by-step explanation:

the answer is b.

64

step-by-step explanation:

c=2πr=2·π·8≈64