You have to complete the square twice. Begin by transferring the 75 to the right hand side. Put separate brackets around the x terms and another set around the y terms.

(x^2 + 10x ) + (y^2 - 16x ) = - 75

(x^2 + 10x + (10/2)^2 ) + (y^2 - 16x + (16/2)^2) = - 75 + (10/2)^2 + (16/2)^2

(x + 5)^2 + (y - 8)^2 = - 75 + 25 + 64

(x + 5)^2 + (y - 8)^2 = 14

The center is at (-5,8) which is C

Note: The graph is below just to confirm my answer. Notice where the center is and that the radius is just under 4.

6 0

3 years ago

Find the expected value of the winnings

marishachu [46]

Answer:

The expected value is $4.35

Step-by-step explanation:

For us to calculate the expected value , we need to multiply each of the given probability by the individual payout value and add

So we have it as;

0.35(1) + 2(0.2) + 5(0.1) + 8(0.2) + 10(0.15)

= 0.35 + 0.4 + 0.5 + 1.6 + 1.5

= $4.35

3 0

3 years ago

An experiment is set up to study the weights of 35 mice after they are injected with a drug. The population mean is 23.50 grams

IgorC [24]

Answer:

The standard error of the sample mean is 0.57

Step-by-step explanation:

we know that

The Standard Error Formula is given by the formula

$SE = \frac{s}{ \sqrt{n} }}$

where:

SE = standard error

s = standard deviation

n = the sample size

In this problem we have

$s=3.40\ g\\n=35$

substitute in the formula

$SE = \frac{3.40}{ \sqrt{35}}}$

$SE=0.57$

6 0

3 years ago