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slamgirl [31]
3 years ago
5

The odds of winning a contest are 3:7. What is the probability winning the contest?

Mathematics
1 answer:
DiKsa [7]3 years ago
5 0

Answer:

0.3

Step-by-step explanation:

Given: The odds of winning a contest are 3:7

To find: probability of winning the contest

Solution:

Probability refers to chances of occurrence of an event.

Odds are defined as (chances for success) : (chances against success)

Probability of winning = (chances for success) : (chances for success + chances against success)  

As odds of winning a contest are 3:7,

(chances for success) : (chances against success) = 3:7

So,

Probability of winning the contest = \frac{3}{3+7} =\frac{3}{10}=0.3

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A box contains a collection of triangular and square tiles. There are 25 tiles in the box and 84 edges . How many square tiles a
NikAS [45]
This problem here would be a little tricky. Let us take into account first the variables presented which are the following: a collection of triangular and square tiles, 25 tiles, and 84 edges. Triangles and squares are 2D in shape so they give us a variable of 3 and 4 to work on those edges. Let us say that we represent square tiles with x and triangular tiles with y. There would be two equations which look like these:

x + y = 25                    and               4x + 3y = 84

The first one would refer to the number of tiles and the second one to number of edges.

We will be using the first equation to the second equation and solve for one. So if we will be looking for y for instance, then x in the second equation would be substituted with          x = 25 - y           which would look like this:

4 (25 - y) + 3y = 84

Solve.

100 - 4y + 3y = 84
-4y +3y = 84 - 100
-y = -16
-y/-1 = -16/-1
y = 16

Then:
x = 25 -y
x = 25 - 16
x = 9

So the answer is that there are 9 square tiles and 16 triangular tiles.
4 0
3 years ago
Compare the following ratios: (Use >, < or = sign in the place holders)
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Answer:

7. 2:3<__4:1

8. 1:2<__3:6

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Step-by-step explanation:

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3 years ago
What is the solution to he equation (y/y-4)-(4/y+4)=3^2/y^2-16
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Answer:

y=\pm i \sqrt{7}

Step-by-step explanation:

Given equation is \frac{y}{\left(y-4\right)}-\frac{4}{\left(y+4\right)}=\frac{3^2}{(y^2-16)}

Factor denominators then solve by making denominators equal

\frac{y}{\left(y-4\right)}-\frac{4}{\left(y+4\right)}=\frac{3^2}{(y^2-16)}

\frac{y}{\left(y-4\right)}-\frac{4}{\left(y+4\right)}=\frac{9}{(y+4)\left(y-4\right)}

\frac{y\left(y+4\right)-4\left(y-4\right)}{\left(y-4\right)\left(y+4\right)}=\frac{9}{(y+4)\left(y-4\right)}

y\left(y+4\right)-4\left(y-4\right)=9

y^2+4y-4y+16=9

y^2=9-16

y^2=-7

take squar root of both sides

y=\pm \sqrt{-7}

y=\pm i \sqrt{7}

Hence final answer is y=\pm i \sqrt{7}.

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3 years ago
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PilotLPTM [1.2K]

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Please give me brainliest.

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