Adult male Akitas weigh an average of 115 pounds with a standard deviation of 10.4 pounds. Adult male Boston Terriers weigh an average of 18.5 pounds with a standard deviation of 2.7 pounds. One dog lover owns an underweight Akita and an underweight Boston Terrier. The Akita weighs 97 pounds, and the Boston Terrier weighs 16 pounds. Use z-scores to determine which dog is more underweight?

Adult Male Akitas

Step-by-step explanation:

The z-score formula =

z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation

a)Adult male Akitas

weigh an average of 115 pounds with a standard deviation of 10.4 pounds.

Akita weighs 97 pounds

z = (x-μ)/σ

= 97 - 115/10.4

-1.7307692308

b) Boston Terrier

Adult male Boston Terriers weigh an average of 18.5 pounds with a standard deviation of 2.7 pounds.

Boston Terrier weighs 16 pounds.

z = (x-μ)/σ

z = 16 - 18.5/2.7

= -0.9259259259

From the above calculation,

The Adult male Akitas is -1.7307692308 standard deviations. underweight

The Boston terrier is -0.9259259259 standard deviations underweight.

Therefore, the Adult male Akitas is more underweight.

answer: -2+√x,-2-√x

i hope this , i don't know if you're looking for a pair or not.

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.