All categories

3 years ago

Has a center at (2,-1) and contains the point (4,5)

Mathematics

1 answer:

satela [25.4K]3 years ago

3 0

Answer:

(x-2)2+(y+1)2=40.

Step-by-step explanation:

Find the Circle Through (4,5) with Center (2,-1.)

Hope this helped.

-Shi

You might be interested in

A box of Georgia peaches has 3 bad and 12 good peaches. (a) If you make a peach cobbler of 12 peaches randomly selected from the

Eddi Din [679]

Answer:

a) 0.21% probability that there are no bad peaches in the peach cobbler.

b) 99.79% probability of having at least 1 bad peach in the peach cobbler

c) 7.91% probability of having exactly 2 bad peaches in the peach cobbler.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the peaches are chosen is not important. So the combinations formula is used to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

(a) If you make a peach cobbler of 12 peaches randomly selected from the box, what is the probability that there are no bad peaches in the peach cobbler?

Desired outcomes:

12 good peaches, from a set of 12. So

$D = C_{12,12} = \frac{12!}{12!(12 - 12)!} = 1$

Total outcomes:

12 peaches, from a set of 15. So

$T = C_{15,12} = \frac{15!}{12!(15 - 12)!} = 455$

Probability:

$p = \frac{D}{T} = \frac{1}{455} = 0.0021$

0.21% probability that there are no bad peaches in the peach cobbler.

(b) What is the probability of having at least 1 bad peach in the peach cobbler?

Either there are no bad peaches, or these is at least 1. The sum of the probabilities of these events is 100%. So

p + 0.21 = 100

p = 99.79

99.79% probability of having at least 1 bad peach in the peach cobbler

(c) What is the probability of having exactly 2 bad peaches in the peach cob- bler?

Desired outcomes:

2 bad peaches, from a set of 3.

One good peach, from a set of 12.

$D = C_{3,2}*C_{12,1} = \frac{3!}{2!(3-2)!}*\frac{12!}{1!(12 - 1)!} = 36$

Total outcomes:

12 peaches, from a set of 15. So

$T = C_{15,12} = \frac{15!}{12!(15 - 12)!} = 455$

Probability:

$p = \frac{D}{T} = \frac{36}{455} = 0.0791$

7.91% probability of having exactly 2 bad peaches in the peach cobbler.

3 0

3 years ago

Mr. Rivona bought 5 pounds of<br>bananas for $0.45 per pound<br>How much did she spend in all

Alinara [238K]

Answer:

2.25

Step-by-step explanation:

5*.45=2.25

7 0

3 years ago

In a right triangle, the value of cos B = 3/5. What is the value of sin B?

Yanka [14]

Answer:It would be 3/5 as well.

Step-by-step explanation:

4 0

3 years ago

Which of the following figure is impossible to draw?

Fynjy0 [20]

D.)

When you say a equalterial triangle all sides have to be equal. In this case. 60,60,60 is a equilateral if it’s a obtuse this would be false.

4 0

2 years ago

" A store purchased a DVD for $12.00 and sold it

cupoosta [38]

What is the topic? And formula to solve this?

4 0

3 years ago

Read 2 more answers