0.6 of students walk to school. Of those 3/4 live within 1 mile of the school there are 640 students at the school. How many students walk to school and live 1 mile or farther from school?
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If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.
.6 * (1-3/4) * 640 = ?
To find out how many students walk to school and live 1 mile or farther from school, we need to follow these steps:
Step 1: Calculate the total number of students who walk to school.
To find the number of students who walk to school, we need to multiply the total number of students by the fractional part that represents the proportion of students who walk to school.
Given that 0.6 (or 60%) of the students walk to school, we can calculate the number of students who walk by multiplying 640 (the total number of students) by 0.6.
Number of students who walk to school = 640 * 0.6 = 384
Step 2: Calculate the number of students who live within 1 mile of the school.
To find the number of students who live within 1 mile of the school, we need to multiply the number of students who walk to school by the fractional part that represents the proportion of students who live within 1 mile of the school.
Given that 3/4 (or 75%) of the students who walk to school live within 1 mile of the school, we can calculate the number of students who live within 1 mile by multiplying 384 (the number of students who walk to school) by 0.75.
Number of students who live within 1 mile = 384 * 0.75 = 288
Step 3: Calculate the number of students who walk to school and live 1 mile or farther from school.
To find the number of students who walk to school and live 1 mile or farther, we need to subtract the number of students who live within 1 mile from the total number of students who walk to school.
Given that the number of students who live within 1 mile is 288, we can calculate the number of students who walk to school and live 1 mile or farther by subtracting 288 from 384.
Number of students who walk to school and live 1 mile or farther = 384 - 288 = 96
Therefore, there are 96 students who walk to school and live 1 mile or farther from school.