Question

tracy was given a bag of 250 colored marbles. she randomly chose a marble, recorded its color in the table, and returned it to the bag. after doing this 50 times, tracy has the following data

Answer 1

Given

The bag contains 250 colored marbles.

Out of which she randomly chose a marble, recorded its color in the table, and returned it to the bag. after doing this 50 times.

That is recorded as,

To find:

Which statement about the bag of marble is not supported by the data?

Step-by-step explanation:

It is given that,

The bag contains 250 colored marbles.

Out of which she randomly chose a marble, recorded its color in the table, and returned it to the bag. after doing this 50 times.

That is recorded as,

That implies,

Since there are 250 marbles and the random selection of marbles is done 50 times.

Then,

The number of red marbles in the bag is,

`\begin{gathered} n(R)=(250)/(50)*20 \\ =5*20 \\ =100 \end{gathered}`

Therefore, percentage of red marbles is,

`\begin{gathered} Percentage\text{ }of\text{ }red\text{ }marbles=(100)/(250)*100 \\ =0.4*100 \\ =40\% \end{gathered}`

Also, the number of blue marbles is,

`\begin{gathered} n(B)=(250)/(50)*14 \\ =5*14 \\ =70 \end{gathered}`

And,

The number of yellow marbles is,l

`\begin{gathered} n(Y)=(250)/(50)*9 \\ =5*9 \\ =45 \end{gathered}`

Also, the number of green marbles is,

`\begin{gathered} n(G)=(250)/(50)*7 \\ =5*7 \\ =35 \end{gathered}`

From this it is clear that,

n(R)=40%, n(B)=2n(G), n(Y)=45.

Hence, the statement about the bag of marble is not supported by the data is option b).