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Black_prince [1.1K]
3 years ago
8

2) You have a bag of chocolate candy. Ten of them are red, 7 are brown, 12 are green, and 9 are blue. What is the probability th

at you pick a red candy, given that you have already picked a red candy and have not replaced
Mathematics
1 answer:
jonny [76]3 years ago
6 0

Answer:

\frac{9}{37} or %24

Step-by-step explanation:

Since you have already took a red candy and didn't replace it the normal \frac{10}{38} would be replaced with \frac{9}{37}.

To find this you need to add all the candies together and find the number of specific candies you want, in this case red/9.

Now put the 9 above the total number as a fraction.

In order to find the percent divide 9 by 37

9/37=0.243243243

Simplify it 0.24

Now move the . over to the right two times!

24%!


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In the figure below

1) Using the theorem of similar triangles (ΔBXY and ΔBAC),

\frac{BX}{BA}=\frac{BY}{BC}=\frac{XY}{AC}

Where

\begin{gathered} BX=4 \\ BA=5 \\ BY=6 \\ BC\text{ = x} \end{gathered}

Thus,

\begin{gathered} \frac{4}{5}=\frac{6}{x} \\ \text{cross}-\text{multiply} \\ 4\times x=6\times5 \\ 4x=30 \\ \text{divide both sides by the coefficient of x, which is 4} \\ \text{thus,} \\ \frac{4x}{4}=\frac{30}{4} \\ x=7.5 \end{gathered}

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2) BX = 9, BA = 15, BY = 15, YC = y

In the above diagram,

\begin{gathered} BC=BY+YC \\ \Rightarrow BC=15\text{ + y} \end{gathered}

Thus, from the theorem of similar triangles,

\begin{gathered} \frac{BX}{BA}=\frac{BY}{BC}=\frac{XY}{AC} \\ \frac{9}{15}=\frac{15}{15+y} \end{gathered}

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