Suppose you have data that shows that 12% of athletes test positive for steroids. You also know that 11% of athletes test positive for steroids and actually use steroids. What is the probability that an athlete uses steroids, given that he tests positive?
A.
0.37
B.
0.43
C.
0.51
D.
0.67
E.
0.92

Answer:

-2.9

Step-by-step explanation:

-10x + 1 + 7 = 37

Combine like factors.

-10x + 8 = 37

Subtract 8 from both sides.

-10x = 29

Divide both sides by -10.

x = -2.9

Answer:

x = -29/10 = -2 9/10

Step-by-step explanation:

-10x + 1 + 7 = 37

Combine like terms

-10x +8 = 37

Subtract 8 from each side

-10x + 8-8 = 37-8

-10x = 29

Divide each side by -10

-10x/-10 = 29/-10

x = -29/10

x = -2 9/10

Answer:

x = 44-y

Step-by-step explanation:

She has 44 glasses.  The number of glasses of lemonade, y, and the number of glasses of ice tea, x,  totals 44

x+y = 44

We want the number of glasses of ice tea

x = 44-y

Answer:

she needs to walk 6.5 kilometers more.

Step-by-step explanation:

8km/0.55 = 14.5454 - 8 = 6.5454 = 6.5km

Answer:

2/5

Step-by-step explanation:

[tex]\frac{\sqrt[3]{8} }{\sqrt[3]{125} } = \frac{2}{5}[/tex]

Answer:

Step-by-step explanation:

have a blessed day and life

Answer:

Step-by-step explanation:

The area formula for a parallelogram is the same as the area formula for a rectangle or square. A = bh.

Our base is 5 1/4 and the height, which drops perpendicular to the base, is 4 1/5.  So the formula for the area is

[tex]A=(4\frac{1}{5})(5\frac{1}{4})[/tex]

Choice D

Answer: I think it is b

Step-by-step explanation:

Answer:

[tex]x = 14.667[/tex]

Step-by-step explanation:

[tex]3x + 22 = 66 \\ 3x = 66 - 22 \\ 3x = 44 \\ \frac{3x}{3} = \frac{44}{3} \\ x = 14.667[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

x = [tex]\frac{44}{3}[/tex]              OR                x = 14.67

Step-by-step explanation:

The first step is to subtract 22 from both sides, like so:

3x + 22 = 66

     - 22   - 22

--------------------

3x = 44

Divide both sides by 3:

x = [tex]\frac{44}{3}[/tex]              OR                x = 14.67

Answer: 2

Step-by-step explanation:

1+2, 2+1

Therefore, the probability of getting a total of three is 2

Probability of getting total of three when two fair dice rolled is equals to [tex]\frac{1}{18}[/tex] .

" Probability is defined as the ratio of number of favourable outcomes to the total number of outcomes."

Formula used

Probability [tex]= \frac{Number of favourable outcomes}{Total number of outcomes}[/tex]

According to the question,

Dan rolls two fair dice,

Possible outcomes are [tex]= \{ (1,1), (1,2), (1,3) , (1,4). .........., ( 6,5), (6,6)\}[/tex]

Total number of outcomes [tex]= 36[/tex]

Condition given,

Favourable outcomes for total of [tex]3[/tex] [tex]= \{(1,2) , (2,1)\}[/tex]

Substitute the value in the formula of probability we get,

Probability of getting [tex]3[/tex]

[tex]= \frac{2}{36}\\\\= \frac{1}{18}[/tex]

Hence, probability of getting total of three when two fair dice rolled is equals to [tex]\frac{1}{18}[/tex] .

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Answer:

No solutions

Step-by-step explanation:

x + 2y and 2x + 4y are linear combinations of each other since 2 ( x + 2y ) = 2x + 4y.

However, since 2 ( x + 2y = 2 ) results in 2x + 4y = 4 and the second equation reads as 2x + 4y = -8, there is no solution to this system of equations since 4 does not equal -8.

Answer:

option B

Step-by-step explanation:

Answer: option B

Answer:

$100

Step-by-step explanation:

350/7=50

50x2=100

Answer:

b = (a - 6)^2

Step-by-step explanation:

Solve for b:

a = sqrt(b) + 6

a = sqrt(b) + 6 is equivalent to sqrt(b) + 6 = a:

sqrt(b) + 6 = a

Subtract 6 from both sides:

sqrt(b) = a - 6

Raise both sides to the power of two:

Answer: b = (a - 6)^2

The formula is simplified as the equation b = a² - 6

Given data:

To make "b" the subject of the formula "a = √(b + 6)", we need to isolate "b" on one side of the equation.

Here are the steps to rearrange the equation and solve for "b":

Start with the equation: a = √(b + 6).

Square both sides of the equation to eliminate the square root:

(a)² = (√(b + 6))².

Simplify the right side of the equation:

a² = b + 6.

Subtract 6 from both sides of the equation to isolate "b":

a² - 6 = b.

So, the equation "a = √(b + 6)" can be rearranged as "b = a² - 6". This new equation allows us to calculate the value of "b" based on a given value of "a".

Hence, the equation is b = a^2 - 6.

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Answer:

B) 44.8

Step-by-step explanation:

cos ( ∠C ) = 5/13 = 0.38462

m ∠C = cos^(-1) 0.38642 = 67.4°

m ∠A = 90° - 67.4° = 22.6°

m ∠C - m ∠A = 67.4° - 22.6° = 44.8°

Answer:

5x + y

Step-by-step explanation:

4(2x + y) - 3(x + y) = 4*2x + 4y - 3x - 3y = 8x - 3x + 4y - 3y = 5x + y

Hello!

:[tex]\boxed{ \bf The~answer~is~5x~+~y}[/tex]

4(2x+y)-3(x+y)

Multiply everything inside the brackets by the number outside.

= 8x + 4y - 3x - 3y

Next, combine like terms.

= 8x - 3x + 4y - 3y

= 5x + y

Answer: 6.05 units

Step-by-step explanation:

Correct question is:

A cone with radius 3 units is shown below. Its volume is 57 cubic units. Find the height of the cone. Use 3.14 for pi and round your final answer to the nearest hundredth.

Hi, to answer this question we have to apply the next formula:

Volume of a cone = 1/3 x π x radius^2 x height

Replacing with the values given:

57 = 1/3x  3.14 x (3)^2 (h)

Solving for h

57 = 1/3 x 3.14 x  9 (h)

57 =9.42h

57/9.42 =h

h= 6.05 units

Feel free to ask for more if needed or if you did not understand something.  

Answer:

6.05 units

Step-by-step explanation:

Answer:

300 g

Step-by-step explanation:

weight of a can of biscuits= (23- 0.5)/15= 1.5 kg

weight of 8 cans= 1.5 * 8= 12 kg

mass of the empty box Q= 12.3- 12= 0.3 kg= 300 g

Answer:

300 g or 0.3 kg

Step-by-step explanation:

23 kg - 500g = 22.5 kg

each can of biscuits weighs 22.5 ÷ 15 = 1.5 kg

if the box Q weighs 12.3kg when there's 8 box of biscuits then

8 × 1.5 = 12 kg is the weight of biscuits and the remaining 300 g is box Q's weight

Answer:

A scale factor is a number which scales, or multiplies, some quantity. In the equation y = Cx, C is the scale factor for x.

:)

Step-by-step explanation:

Answer:ascale factor is used in instructing some one on what is to be done in adrawn diagram in a graph e.g

Enlargement

Step-by-step explanation:I hope it gelps

532-308 is the same as 524-300

The decrease is 25% so this means that 22 is 75% of the original number (100% - 25% = 75%)

Divide 22 by 75%:

22/ 0.75 = 29.3

The answer is 29.3

Answer:

1. When adding you just add the numbers from the same space so

3  7

10 45

2. Same as adding but the opposite

2  1  2

3  1  6

1  2  1

Step-by-step explanation:

Answer:

  A. the perpendicular bisector of the line segment XY

Step-by-step explanation:

You know that one point equidistant from X and Y is the midpoint of segment XY. The third vertex of an isosceles triangle with XY as its base will also be equidistant from X and Y. That vertex will be located on the perpendicular bisector of XY.

The locus of points of interest is the perpendicular bisector of XY.

_____

For many geometry problems, it can be helpful to draw a diagram.

Answer:

You can use a calculator to find all the tan, sin, cos values! Simply enter the number, for example, 52, then press the tan button! For question d, you are finding what number that decimal is the tangent of. Press the 2nd function on your calculator, and you can see that -1 beside the tan. Enter the decimal then use that button to find the reverse tangent.

tan52 = 1.2799

sin19 = 0.3256

cos34 = 0.8290

tan-1(0.9876) = 44.6426

To solve the conveyor belt problem, you'll have to use the sine of 15. (remember, sine = opposite/hypotenuse). Set up an equation:

sin15 = ?/12m

Use a calculator to find sin15, then you can solve it like algebra.

sin15 = ?/12m

sin15*12m = ?

0.2588*12m = ?

3.1056m = ?

Hope this helped :)

Answer:

[tex]\frac{21}{2x^{2} +4x}[/tex]

Step-by-step explanation:

[tex]\frac{3}{x+2} \times \frac{7}{2x}[/tex]

[tex]\frac{7 \times 3}{2x(x+2)}[/tex]

[tex]=\frac{21}{2x^{2} +4x}[/tex]

Answer:

The common ratio of a geometric series is \dfrac14

4

1 ​

start fraction, 1, divided by, 4, end fraction and the sum of the first 4 terms is 170

The first term is 128

Step-by-step explanation:

The common ratio of the geometric series is given as:

[tex]r = \frac{1}{4}[/tex]

The sum of the first 4 term is 170.

The sum of first n terms of a geometric sequence is given b;

[tex]s_n=\frac{a_1(1-r^n)}{1-r}[/tex]

common ratio, n=4 and equate to 170.

[tex]\frac{a_1(1-( \frac{1}{4} )^4)}{1- \frac{1}{4} } = 170[/tex]

[tex]\frac{a_1(1- \frac{1}{256} )}{ \frac{3}{4} } = 170\\\\ \frac{255}{256} a_1 = \frac{3}{4} \times 170\\\\\frac{255}{256} a_1 = \frac{255}{2} \\\\\frac{1}{256} a_1 = \frac{1}{2} \\\\ a_1 = \frac{1}{2} \times 256\\\\a_1 = \frac{1}{2} \times 256 \\\\= 128[/tex]

Answer:

The first term is 128

Answer:

1017.88 in^3 to the nearest hundredth.

Step-by-step explanation:

Volume = 1/3 * π r^2 h

= 1/3 *  π  * 9^2 * 12

= 1017.88 in^3.

Answer:

49°

Step-by-step explanation:

The sum of the exterior angles of a polygon = 360°

let x be the other exterior angle then sum and equate to 360

37 + 84 + 49 + 38 + 35 + 68 + x = 360

311 + x = 360 ( subtract 311 from both sides )

x = 49

The other exterior angle = 49°

Answer:

The correct option is (B)[tex]58.41<f(x)<150[/tex].

Step-by-step explanation:

The exponential decay function is as follows:

[tex]y=a(1-r)^{t}[/tex]

Here,

y = final value

a = initial value

r = decay rate

t = time taken

It is provided that:

a = 150 mg

r = 9% = 0.09

Then the next hour the amount of caffeine in the body will be:

[tex]y=a(1-r)^{t}\\=150\times (1-0.09)^{1}\\=136.5\ \text{mg}[/tex]

Then after two hours the amount of caffeine in the body will be:

[tex]y=a(1-r)^{t}\\=150\times (1-0.09)^{2}\\=124.215\ \text{mg}[/tex]

Similarly after 10 hours the amount of caffeine in the body will be:

[tex]y=a(1-r)^{t}\\=150\times (1-0.09)^{10}\\=58.4124\ \text{mg}\\\approx 58.41\ \text{mg}[/tex]

Then the inequality representing the range of the exponential function that models this  situation is:

[tex]58.41<f(x)<150[/tex]

Thus, the correct option is (B).

The best answer's you can get are the already answered one's (posted cause a guy in the comment said it was wrong when it was actually correct)

Answer:

Step-by-step explanation:

5) Perimeter = 15 + 21 + 15 + 21 = 72 cm

6) diameter = 12 cm

Radius r = 12/2 = 6 cm

Circumference = 2πr

                         = 2 * 3.14 * 6

                        = 37.68 cm

8) Distance around the track =  2 *circumference of semi circle + 80 + 80

= circumference of circle + 80 + 80

= 2 * 3.14 * 10 + 80 +80

= 62.8 +80 +80

= 222.8 cm

Answer:

The width is 8 inches.

Step-by-step explanation:

Let the width be x. Per the question, the length should be 2x + 5. Set up a perimeter equation and solve for x.

I have attached the work to your problem.

Please see the attachment below.

I hope this helps!

Answer:

2. 90+240= 330 m cubed

3. (24*2)+96= 144 cm cubed

Answer:

D.Mica spent $45.50 on 7 wiffle ball sets. How much does it cost for one set?

Step-by-step explanation:

A.Cost of 1 gallon=3.79

Cost of 10.3 gallon=[tex]3.79\times 10.3=39.037[/tex]

It can not be solved b y division of decimals.

B.Let x be grade got by Maria in her next test.

Grades obtained by Marian in her 4 previous test are  given by

75.3,92.1,78.6 and 81.0

According to question

[tex]75.3+92.1+78.6+81.0\geq 400[/tex]

[tex]327+x\geq 400[/tex]

[tex]x\geq 400-327[/tex]

[tex]x\geq 73[/tex]

It can not be solved b y division of decimals.

C.Helena saved money=$45

Cost of dress=$78.00

78-45=33

She needs to save $33 more.

It can not be solved b y division of decimals.

D.Cost of 7 wiffle ball sets=$45.50

Cost of 1  ball set=[tex]\fra{45.50}{7}=[/tex]$6.5

It can be solved b y division of decimals.

Option D is true.

D.Mica spent $45.50 on 7 wiffle ball sets. How much does it cost for one set?

Answer:

the answer is d

Step-by-step explanation: