Hey is there a way you could send a photo of the equation
First, subtract px2 from both sides.
Now you have:
x3 - px2 = (1 - p) x1
Next, divide both sides by (1 - p)
So now you have
x3 - px2/(1 - p) = x1
...as your final answer
*You can decide if you want to leave the parenthesis in your final answer, I left them there so it could be visible where I put them. :)
Answer:25th Percentile: 5
50th Percentile: 30
75th Percentile: 34
Interquartile Range: 29
Step-by-step explanation:
Remark
The way you have to set this up is to take the new number for the males and put it over the total for the males and females. The new number for the males / total = 3/5.
Step One
Find the total number of females
100 + 160 = 260 when 100 females have been added to the study.
Step Two
Find the number of males
The total number of males = 240 + x where x is the number of males to be added.
Step Three
Find the total for both
260 + 240 + x = Total
500 + x = Total.
Step Four
Find the ratio of males to total
(240 + x) / (500 + x) = 3/5
Step Five
Cross multiply and solve
(240 + x)*5 = (500+x)*3
1200 + 5x = 1500 + 3x Subtract 1200 from both sides.
5x = 1500 - 1200 + 3x
5x = 300 + 3x Subtract 3x from both sides.
5x - 3x = 300
2x = 300 Divide by 2
x = 300 / 2
x = 150
Check
(240 + 150 ) / (500 + 150) = ? 3/5
390 / 650 = ? 3/5
39/65 = ? 3/5 Divide the top and bottom on the left by 13
3/5 = 3/5 and it checks.
Since there are 18 dogs.
And fraction denominator is 1/3
It will be divided by 6
And since ges walking 1/3 of the dogs he is originally walks with which is 18
That means the answer is 6.
