Answer:
12 boys
Step-by-step explanation:
From the above question:
Number of boys = 3
Number of girls = 2
Boys: Girls
3:2
Let :
a = boys
b = girls
Hence, a : b = 3 : 2
a/b = 3/2
Cross Multiply
2a = 3b .......... Equation 1
a = 3b/2
If four more girls join the class, there will be the same number of boys and girls
Hence,
a: b + 4 = 3 : 3
a/b + 4 = 3/3
Cross Multiply
3a = 3(b + 4)
3a = 3b + 12 ........ Equation (2)
From Equation 1: a = 3b/2
Substitute 3b/2 for a in Equation 2 we have:
3a = 3b + 12 .........Equation 2
3(3b/2) = 3b + 12
9b/2 = 3b + 12
Cross Multiply
9b = 2(3b + 12)
9b= 6b + 24
9b - 6b = 24
3b = 24
b = 8
Substitute 8 for b in Equation 1
a = 3b/2
a = 3 × 8/2
a = 24/2
a = 12
Therefore, the number of boys in the class is 12
Answer:
Job has the weakest association with the dependent variable income.
Step-by-step explanation:
The correlation coefficient is used to determine the the strength and direction of the relationship between two variables.
It is denoted by <em>r</em> and the value of <em>r</em> ranges from -1.00 to 1.00.
The correlation data provided is as follows:
Income Education Job Age
Income 1.000
Education 0.677 1.000
Job 0.173 -0.181 1.000
Age 0.369 0.073 0.689 1.000
The dependent variable is the income.
And the variables Education, Job and Age are independent variables.
The correlation between Income and Job is 0.173.
This is the lowest correlation coefficient between the dependent and independent variable.
Thus, Job has the weakest association with the dependent variable income.
if we divide 20 by 12, we get a quotient of 1, and a remainder of 8.
