Answer:
[tex] x = 70[/tex]
Step-by-step explanation:
The probability of picking a blue counter from the bag is given by the ratio of the number of blue counters to the total number of counters.
In this case, the probability is [tex] \dfrac{{14}}{{x}} [/tex].
Hassan takes 30 counters, and the probability of picking a blue counter from these 30 counters is [tex] \dfrac{{6}}{{30}} [/tex].
So, we can set up an equation based on the probability:
[tex] \dfrac{{14}}{{x}} = \dfrac{{6}}{{30}} [/tex]
[tex] \dfrac{{14}}{{x}} = \dfrac{{1}}{{5}} [/tex]
Now, solve for [tex] x [/tex] by criss cross multiplication:
[tex] 14 \times 5 = x [/tex]
[tex] 70 = x [/tex]
[tex] x = 70[/tex]
Therefore, an estimate for the value of [tex] x [/tex] is 70 counters.
