A random sample of Maxwell high school students that seven out of every trust students ride the bus Maxwell high school has a total of 840 students based on the sample how many students most likely ride the bus to school

Complete question :

A random sample of Maxwell High School students showed that 7 out of every 12 students ride the bus to school . Maxwell High School has a total of 840 students . Based on the sample , how many students most likely ride the bus to school ?

490 students

Step-by-step explanation:

Proportion of students who rode bus to school :

7 / 12 = 0.5833333

Given a sample size of 840 students ;

The likely Number of students who rode bus to school will be :

Sample size * proportion

840 * 0.5833333

= 490 students

step-by-step explanation:

options

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752