lorna observed that her brother wore green on 9 of the last 21 days. Assuming the same rate, on how many days would lorna expect him to wear green in the next five weeks?
9/21 = x/35
21x = 315
x = 15
To find out how many days Lorna would expect her brother to wear green in the next five weeks, we need to find the average rate of days he wore green in the last 21 days.
The average rate is calculated by dividing the total number of days he wore green by the total number of days observed.
So, the average rate is 9 days / 21 days = 0.4285 (rounded to 4 decimal places).
Now, we need to calculate the number of days in five weeks. Since there are 7 days in a week, five weeks would be 5 weeks * 7 days/week = 35 days.
Finally, we can calculate the expected number of days he would wear green in the next five weeks by multiplying the average rate by the number of days in five weeks.
Expected days = 0.4285 * 35 days = 14.9975 (rounded to 4 decimal places).
Therefore, Lorna would expect her brother to wear green on approximately 15 days in the next five weeks.
To find the expected number of days Lorna's brother would wear green in the next five weeks, we need to calculate the average rate of wearing green per day.
Lorna's brother wore green on 9 out of 21 days, so we can calculate the rate as follows:
Rate of wearing green = Number of days wearing green / Total number of days observed
Rate of wearing green = 9 / 21
Now, we need to find the total number of days in the next five weeks. One week consists of 7 days, so:
Number of days in five weeks = 5 weeks * 7 days/week
Number of days in five weeks = 35 days
To find the expected number of days Lorna's brother would wear green in the next five weeks, we can use the calculated rate and multiply it by the number of days:
Expected number of days wearing green = Rate of wearing green * Number of days in five weeks
Expected number of days wearing green = (9 / 21) * 35
Now we can calculate it:
Expected number of days wearing green = 1.67 * 35
Expected number of days wearing green = 58.33
So, Lorna would expect her brother to wear green on approximately 58 days in the next five weeks.