It is well known that steroid usage is banned in athletes. As a result, athletes are randomly tested. The steroid test procedures are believed to be equally effective on both steroid users as well as non-steroid users. The effective rate is 98%. Assume 90% of the athletes are clean (not steroid users). Suppose an athlete is tested as a steroid user (and thus could be disqualified from the Summer Olympics games), what is the probability that the athlete is actually clean (i.e., not a steroid user)

Answer:

x = 5

Step-by-step explanation:

According to triangle angle bisector theorem, the ray divides the opposites side of the triangle into segments that are proportional to the other two sides.

So,

      [tex]\frac{x-1}{x-2} = \frac{12}{9}\\\\\frac{x-1}{x-2} = \frac{4}{3}\\\\3(x-1) = 4(x-2)\\\\3x - 3 = 4x - 8\\\\4x - 3x = -3 +8 \\\\x = 5[/tex]

Answer:

Length = 54 inches and width = 9 inches.

Step-by-step explanation:

Let the width be x in , then the length is 6x in.

So 2*x + 2*6x  126

14x = 126

x = 9 in.

So L = 6*9 = 54 in, and W = 9 in.

Step-by-step explanation:

Perimeter = 2l + 2w

but;

Perimeter = 126

lenght = 6w ( let the width be the variable w)

126 = 2(6w) + 2(w)

126 = 12w + 2w

126 = 14w

126/14 =w

w = 9

Therefore width is 9

and length = 6× 9 = 54

Answer:

I don't know im sorry I wish I could help

Answer:

75

Step-by-step explanation:

You know hat there is 4 angles. You want to divide 300 by 4 since that's the tal out of all 4 ofangles.When u divide, you 75.

This is what I would  

Answer:

396

Step-by-step explanation:

100% = 360

10% = 100% * (10/100) = 100%/10 = 360/10 = 36

previous salary plus the 10% raise = 360 + 36 = 396 =

= new salary

Answer:

27(x^3)(y^6)

Step-by-step explanation:

the steps are in the pic above

Answer:

Step-by-step explanation:

angle 2 and angle 7 are alternate exterior angles.so they are always equal.

angle 2=angle 7

Answer:

153.86.

Step-by-step explanation:

Formula for area of a circle: A= Pi R (R is radius) squared. First fill in the numbers: 3.14x7^2 Then Solve for the squared: 7^2=49, then finally multiply 49x3.14 which gets you to 153.86.

Answer:

2.15cm^3

Step-by-step explanation:

V = Mass / Density

21.93g / 10.2g/cm^3

2.15cm^3

Answer:

8 hours, and 40 minutes. Each time it goes down by .25 it goes up 2 hours and 10 minutes.

Answer:

1/4 ft

Step-by-step explanation:

Area is equal to length times width

A = lw

1/2 = 2*w

Divide each side by 2

1/2 ÷2 = 2w/2

1/4 = w

Answer:

1/4 feet

Step-by-step explanation:

The formula for finding the area of a rectangle is A = lenght*width

1/2= 2*width

Width is 1/4 feet

Answer:

f(x) = 6x - 4.

Step-by-step explanation:

I guess you want the function which produces the outputs from the given inputs

The common difference in the outputs is 6.

The function is 6x - 4  where x is the input value.

Answer:

x = 4

Step-by-step explanation:

Given that sin(13x) = cos(9x+2)

Since sintheta  = cos(90 - theta)

hence sin (13x) = cos (90 -13x)

Substitute into the original equation

cos (90 -13x) = cos(9x+2)

90-13x = 9x+2

-13x - 9x = 2 - 90

-22x = -88

x = 88/22

x = 4

Hence the value of x is 4

Step 1: Take the common logarithm of both sides of the equation. Use the power property to bring the exponent, (2x+1), down as a factor.

Step 2: Solve the equation from step 1 for x. Round your final answer to the nearest hundreth.

(2x+1)*log(5) = log(8)

2x+1 = log(8)/log(5) = ~ 1.29203

2x = 0.29203

Answer:

NO

Step-by-step explanation:

(4/5)^n will always be ≤ 1  for any positve n

The equation h ( n ) = 150 is false

No , the height of the ball cannot be 150 inches

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

h ( n ) = 120 x ( 4/5 )ⁿ

Now , substitute the value of h ( n ) = 150 , we get

150 = 120 ( 4/5 )ⁿ

Divide by 120 on both sides of the equation , we get

150 / 120 = ( 4/5 )ⁿ

On simplifying the equation , we get

5/4 = ( 4/5 )ⁿ

The equation is not true because we have a exponential decay function here. This height of the ball decreases with each bounce.

At bounce 0 the height of the ball is 120 inches, and then continuously decreases with a common factor of 4/5

Therefore , the value of h ( n ) can never be 150

Hence , the equation h ( n ) = 150 is false

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

The median is the middle number in a sorted, ascending or descending, list of numbers.

0, 0, 1, 1, 1.5, 1.5, 1.5, 1.5, 2, 2, 2, 2, 2.5, 2.5, 3, 3, 3, 3, 3, 3.5, 3.5, 4, 4, 4, 4.5,

Therefore, the median would be 2.5 hours.

Answer:

Area=bh/2

36=6h/2

6h=72

h=72/6

h=12 ans.

Hєíght σf tríαnglє ís 12 cm.

lєt , lєnght σf tríαnglє вє х .

wє knσw thαt

αrєα σf tríαnglє = вαsє × hєíght / 2

➟ 36 cm = 6 × х / 2

➟ 36 cm = 6 х / 2

➟ 36 cm × 2 = 6 х

➟ 72 cm = 6 х

➟ 72 cm / 6 = х

➟ 12 cm = х

Answer:

The Preamble states the six purposes of government to form a more perfect union; establish jusice; insure domestic tranquility;provide for the common defense; promote the general wefare; secure the blessings of liberty now and the future

Answer:

32 I just know it the answer

Answer:

20mm2

Step-by-step explanation:

3+2=5

5divided by 2 = 2.5

2.5 times 8 = 20

Answer:

C. 20 mm²

Step-by-step explanation:

Formula for trapezoid =       [tex]\frac{base1 + base 2}{2}*height[/tex]

So 1/2(2+3)*8

1/2(5) * 8

2.5 * 8 = 20

Units area in mm²

20 mm²

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

24 in total

Step-by-step explanation:

Answer:

{21, 22, 23, 24}

Step-by-step explanation:

m>20 means that m is greater or more than 20, therefore 21, 22, 23, and 24 are all greater than 20 so that is the answer.

Answer:

i think so.....

20,21,22,23

Answer: ( − 3 , − 64 )

Step-by-step explanation:

knowledge!

Answer:

Null hypothesis rejected means that there is significant evidence to conclude that the team's mean rushing yards per game is less than 105 yards.

Step-by-step explanation:

The mean number of rushing yards for one NFL team was less than 105 yards per game.

At the null hypothesis, we test if the mean number of rushing yards for the team was the league's mean, which is close to 105 yards per game, that is:

[tex]H_0: \mu = 105[/tex].

At the alternate hypothesis, we test if there is significant evident to conclude that this team average is less than 105 yards per game, that is:

[tex]H_1: \mu < 105[/tex]

How should you interpret a decision that rejects the null hypothesis?

Null hypothesis rejected means that there is significant evidence to conclude that the team's mean rushing yards per game is less than 105 yards.

Answer:

31

Step-by-step explanation:

Answer:

3x+2+2x+5+2x-9=180(being linear pair)

7x-2=180

7x=180+2

x=182/7

x=26

Step-by-step explanation:

Answer:

50 gallons per hour

Step-by-step explanation:

(400 gallons) / (8 hours) = 50 gallons per hour

Answer is: 50 gal

400/8/4

Answer: 60 ft

Separate into 2 rectangles and add their areas together!

Vertical rectangle area: 10 x 3 = 30 ft

Horizontal rectangle area: 10 x 3 = 30 ft

Area of entire thing: 30 + 30 = 60 ft

I think A but not sure

Answer:

1/2

Step-by-step explanation:

See the steps below:)

Answer: 12.5

Step-by-step explanation:

1/2 of 25 is 12.5 since when added together they create 25