A manufacturer tests a certain number of headsets that are produced each day. There is a 2.5% chance of finding a defective headset. If 280 units of that model are tested, the manufacturer would expect to find approximately (blank) headsets without any defects.

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.

they would have to work 32 hours.

twenty-six miles over two gallons because the proportion for the original 13 miles to one gallon would be written 13/1 and, doing the same thing to the top and bottom, i multiplied by 2 and got 26/2

cross multiplying, we get :

⇒ (3) × (5) = (9) × (x)

⇒ 15 = 9x