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3 years ago

What is the center and radius of the circle? (x-9)^2 + (y-8) =4

Mathematics

1 answer:

Umnica [9.8K]3 years ago

8 0

Answer:

C(9,8) and r=2

Step-by-step explanation:

k:(x-9)^2 +(y-8)^2 =4

k:(x-p)^2 +(y-q) ^2 =r^2

p=9, q=8, r=2-radius

C(p,q)=C(9,8)-center

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ATCs are required to undergo periodic random drug testing.

aleksandr82 [10.1K]

Answer:

The responsess to the given question can be defined as follows:

Step-by-step explanation:

$P(medication\ used) = 0.007 \\\\P( drug \not\ used ) = 1 - 0.007 = 0.993\\\\P(test\ positive | medication \ used) = 0.96 \\\\ P(test \ negative | medication \ used) = 1 - 0.96 = 0.04\\\\$

$P(Point | Non-used\ medication )=0.93\\\\ P(Point |No\ medication ) = 1 - 0.93 = 0.07$

As per the given info we draw the tree diagram which is defined in the attachment file.

$P ( test \ is\ positive ) = P( medication \ used ) \times P( Test \ positive | medication \ used ) + P( medication not \ used ) \times P( Test\ positive | medication \ not \ used )$

$= ( 0.007 \times 0.96 ) + ( 0.993\times 0.07 )\\\\= 0.0762$

$P( medication \ used | test\ positive )= \frac{\textup{P( medication used ) *P( Test positive given medication used )}}{\textup{P( medication used )}}$

$= \frac{( 0.007\times 0.96 )}{0.0762}\\\\= 0.0882$

8 0

2 years ago

Farmer Jan is a vegetable farmer who divides his field between broccoli crops and spinach crops. Last year, he grew 6 tons of br

ankoles [38]

Answer:

There is no unique solution to this problem.

There are infinitely many solutions to this problem.

Step-by-step explanation:

Let B denotes broccoli crop

Let S denotes spinach crop

Last year, he grew 6 tons of broccoli per acre and 9 tons of spinach per acre, for a total of 93 tons of vegetables.

Mathematically,

6B + 9S = 93 eq. 1

This year, he grew 2 tons of broccoli per acre and 3 tons of spinach per acre, for a total of 31 tons of vegetables.

Mathematically,

2B + 3S = 31

2B = 31 - 3S

B = (31 - 3S)/2 eq. 2

Substitute eq. 2 into eq. 1

6B + 9S = 93

6[(31 - 3S)/2] + 9S = 93

3(31 - 3S) + 9S = 93

93 - 9S + 9S = 93

- 9S + 9S = 93 - 93

0 = 0

Therefore, there is no unique solution to this problem.

Which means that there are infinitely many solutions to this problem.

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3 years ago

I need help with this!

monitta

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2 years ago

If you are facing north. Turn 90 degrees left. Turn 180 degrees right. Reverse direction. Turn 45 degrees left. Reverse directio

Lelu [443]

You would be facing southwest

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3 years ago

Read 2 more answers

Ship A receives a distress signal from the north, And ship B receives a distress signal from the same vessel from the southeast.

11Alexandr11 [23.1K]

The coordinates of Ship A and B are missing, so i have attached it

Answer:

The vessel in distress is located at the coordinate (1, 2)

Step-by-step explanation:

The coordinates attached shows that;

Coordinates of A are (3, 4) while that of B are (1, 1).

We are told that Ship A receives a distress signal from the north, And ship B receives a distress signal from the same vessel from the southeast.

Now, from the image attached, If we imagine extending the line of ship A that is getting distress signal from southeast and also same thing for ship B that is getting signal from north,we'll discover that the lines intersect at a point with co-ordinates of approximately; (1, 2)

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2 years ago