A spinner is divided into 8 equal sections. There are 3 yellow sections and 5 green sections. The spinner is spun 32 times. Which proportion can be used to find the number of times, B, that the spinner could be expected to land on a green section?
5/8 = x/32
A spinner is divided equally into $$8 sections, but $$3 of them are coloured white.
To find the proportion of times the spinner is expected to land on a green section, we can use the following proportion:
B/32 = 5/8
We know that there are 5 green sections out of a total of 8 sections on the spinner. Therefore, the number of times the spinner could be expected to land on a green section, B, can be found by solving this proportion.
To find the proportion, we need to determine the number of times the spinner is expected to land on a green section.
Given:
- The spinner is divided into 8 equal sections.
- There are 3 yellow sections and 5 green sections.
- The spinner is spun 32 times.
To find the proportion of times the spinner could be expected to land on a green section, we need to calculate the fraction of green sections out of the total number of sections on the spinner.
Total sections on the spinner = 8
Green sections = 5
Proportion (P) of landing on a green section = Number of green sections / Total number of sections
P = 5/8
Now, we can use this proportion to find the expected number of times (B) the spinner could land on a green section.
B = Proportion (P) × Total number of spins
B = (5/8) × 32
B = (5 × 32) / 8
B = 40
Therefore, the proportion that can be used to find the expected number of times the spinner could land on a green section is 5/8, and the spinner could be expected to land on a green section 40 times.