685/5 = 137
137 doesn't factor at all, so your factors are 5 and 137.
1. A.
x parrot fish + y triggerfish = 320 total fish.
y = 7x shows that there are 7 times as many triggerfish.
2. C
x + y shows a total score of 425.
y = 2x - 70 shows that Michael's score, y, is 70 less (minus) than twice Kathryn's
3. write two equations
x + y = 27 total feet
2x + 3 = y
Substitute 2x + 3 for y in the first equation
x + (2x + 3) = 27
3x + 3 = 27
3x = 24
x = 8
Substitute 8 in to either equation to find the other length.
8 + y = 27
y = 19
The shorter piece is 8 and the longer piece is 19
4. x + y = 3200 people -> y = 3200-x
8x + 12y = 33,040 dollars
8x + 12(3200 - x) = 33040
8x + 38400 - 12x = 33040
-4x = -5360
x = 1340 (1340 children)
1340 + y = 3200
y = 1860 adults
5. I don't think the numbers for this were put in correctly because I get a decimal and a negative number when I solve for it but hopefully if you do get the correct cost/amount of coins you will understand this well enough to do it on your own. Hope I helped!
Answer:
5.47% of the total variation between the two variables can be explained by the regression line.
Step-by-step explanation:
Given :
R value = 0.234
The R value is the correlation Coefficient ; which gives the type and level of correlation between two variables.
However, to Obtian the percentage variation which can be explained by by the regression line, we have to obtain the Coefficient of determination, R².
R² value is Obtained by taking the squared of the correlation Coefficient
Hence,
R² = 0.234² = 0.054756
R² = 0.05476 * 100% = 5.4756%
Hence, R² = 5.48%
This is interpreted as ; 5.47% of the total variation between the two variables can be explained by the regression line.
Answer:
135
Step-by-step explanation:
x = 135 by the vertical angles theorem
