Eruptions of the Old Faithful geyser have duration times with a mean of 245.0 sec and a standard deviation of 36.4 sec (based on sample data). One eruption had a duration time of 110 sec.

Difference between time = -135 sec

Step-by-step explanation:

Given:

Mean eruption = 245 sec

Standard deviation = 36.4 sec

One eruption had a duration time of 110 sec

Find:

Difference between duration time of 110 sec and mean = ?

Computation:

⇒ Difference between time = One eruption duration time - Mean

⇒ Difference between time = 110 sec - 245 sec

⇒ Difference between time = -135 sec

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.

it is a secret for it not to be compromised sorry

step-by-step explanation: