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IrinaK [193]
3 years ago
10

Help me please urgent

Mathematics
1 answer:
Lilit [14]3 years ago
6 0
The inscribed angle is always half of the central angle. 
So 60÷2=30
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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
Figure A and Figure B are similar with a ratio of similarity of 1/8, and the area of figure A is 13 units, what is the area of f
nikdorinn [45]

Answer:

0.2

Step-by-step explanation:

Similar triangles are triangles which have the same shape but not the same size. This means their angle measures are equal but their side lengths are not instead they are proportional. This means that if a rectangle has sides 3 by 4 its area will be 12. But its image after being dilated by 2 is 6 by 8 or twice the side. Will the area also be twice the size? The area of the image is 6*8 = 48. This is 4 times bigger than 12. Not twice as big. So the similarity of the area is the scale factor squared.

So if figure A has area 13 units. And they have a ratio or scale factor of 1/8 then the area sclae factor will be 1/8*1/8 = 1/64.

So 13*1/64 will be the area of figure B.

13* 1/64 = 13/64 = 0.2

6 0
3 years ago
Two sides of a trapezoidal are 25 meters. The third side is 40 meters. The fourth side is 20 meters shorter than the longest sid
Aloiza [94]

Answer:

110

Step-by-step explanation:

longest side would by 40 so 40 - 20 = 20. Add all the sides up 25+25+40+20=110

3 0
3 years ago
Name the lengths of the side of three rectangles that have perimeters of 14 units
Viktor [21]
5,5.2,2
6,6,1,1
4,4,3,3
2,2,55
8 0
3 years ago
Find the volume of the prisms. Show work!
Fed [463]

1. Answer =   About 1451.42 m³

  • First, we need to find the volume of the cube:
  • Formula: πr²h
  • Volume = π * 3² * 50 = 1413.72 m³
  • Second, we need to find the volume of the cone:
  • Formula: (πr²h)/3
  • Volume = π * 3² * 4 = 37.69 m³
  • Third, we need to add these two volumes to find the total volume of the figure.
  • 1413.72 m³ + 37.69 m³ = 1451.42 m³.

2. Answer <em>= </em>960 m³

  • Formula: (1/2(b*l)) * 20
  • First, we need to find the area of the base (1/2 * b* l).
  • 1/2 * 8 * 12 = 48.
  • Second, we need to multiply the area of the base by the height to get the volume.
  • B * h = 48 * 20 = 960 m³.
6 0
2 years ago
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