The average height of a 13 year old male in the u. s. is 60 inches, with a standard deviation of 2 inches. the average weight of a 13 year old male in the u. s. is 100 pounds, with a standard deviation of 5 pounds. if daniel, a 13 year old male, is 68 inches tall and weighs 115 pounds, is his height or weight more unusual?

The larger the magnitude of the z-score in each case, the more unusual the situation is.

Height: mean 60, std. dev. 2. If Daniel is 68 inches tall, the z score describing his height is

68-60

z = = 4 Any z score whose magnitude is greater than 2 is very

2 unusual. In this case, Daniel's height is practically off

the scale!

Weight

115-100

z = = 3 This is considered to be very unusual, but not so

5 unusual as a z-score of 4 (above).

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.