Answer:
-(1/10)x
Step-by-step explanation:
This is an addition problem. Since the variable (x) is the same in both terms, we need only sum up the coefficients -3/5 and 1/2 and then multiply x by this sum.
-3/5x+1/2x = (-3/5 + 1/2)x
The LCD of -3/5 and 1/2 is 10. The -3/5 term converts to -6/10 and the 1/2 term to 5/10. Thus, we have (-6/10 + 5/10)x = -(1/10)x
Answer:
H0 : μ1 = μ2
H0 : μ1 < μ2
Step-by-step explanation:
Given :
Early studiers, group 1, mean μ1
Late studiers, group 2 ; mean, μ2
To test the claim that students who study earlier have an average score that is less than the average score for students
The null hypothesis ; there is no difference in average score
H0 : μ1 = μ2
Alternative hypothesis is early studiers means is less than average score of late studiers
H0 : μ1 < μ2
The band earned $1,200.
1. Subtract the flat fee 1,200-700 =500
2. 500 is what just the band made. Divide that by .16 (16%) to get the total ticket amount... 500 divided by .16 = 3,125
The total ticket amount was $3,125.
We need to convert this equation to slope-intercept form first.
We can do that by solving for y.
x - 5y = 15
<em><u>Add 5y to both sides.</u></em>
x = 5y + 15
<em><u>Subtract 15 from both sides.</u></em>
x - 15 = 5y
<em><u>Divide both sides by 5.</u></em>
y = 1/5x - 3
We now know the slope is 1/5.
The slope of the line perpendicular to the line with a slope of 1/5 is -5.
The slope of a perpendicular line is the negative reciprocal of the original slope.
Using a graphing calculator, we know the y-intercept of the line that is perpendicular to the original line must have a y-intercept of -6 to run through the points (-2, 5).
The equation of the new line is y = -5x - 6.
Using the table, you are looking at a ratio of 9 Dimes to 6 nickels or 9:6 which can be simplified by dividing each by three (a number they are both divisible by without going into decimals) to get a ratio of 3 dimes for every 2 nickels she has, or 3:2
