Answer:
dirk =13.25 hours
charlie =11 75 hours
Step-by-step explanation:
c+d=25------(1)
d-1.5=c-----(2)
from (1),
c+d=25
c=25-d-----(3)
substitude (3) into (2)
d-1.5=c
d-1.5=25-d
2d=26.5
d=13.25
if d=13.25 hours
c+d=25
c+13.25=25
c=25-13.25
c=11.75
Based on the data, the most likely correlation coefficient would be -1.
The slope between 20 and 30 days is -1, and it represents the change in the surface area of the lake per day.
The data represents correlation, not causation.
Since the data would form a perfectly straight line through the points, the correlation coefficient would be -1 for a perfect decreasing fit.
To find the slope, find the change in the surface area between those days, the change in the days, and write it as surface area/days: 80-90=-10; 30-20=10; -10/10=-1
This is not causation because there could be lurking variables we cannot see.
Answer:
Step-by-step explanation:
b). Since relation between the number of spring rolls and number of people is,
Number of spring rolls ∝ Number of people
Therefore, Number of spring rolls (R) = k × Number of people (P)
With the help of this proportional relation,
If the number of spring rolls (R) are 6 and the number of people (P) are 3.
6 = 3k
k = 2
So the equation that defines the relation will be,
R = 2P
a). For R = 1,
1 = 2P ⇒ P = 0.5
For R = 10,
10 = 2P ⇒ P = 5
For R = 16,
16 = 2P ⇒ P = 8
For R = 25,
25 = 2P ⇒ P = 12.5
For R = n,
n = 2P ⇒ P = 
Assuming this problem is a simplification problem, the best way to simplify a problem like this would be to combine the fractions. to combine fractions with different denominators, even with variables, would be to multiply and get equal denominators, and then simplify. To get equal fractions we simply multiply the 2nd denominator on both sides in the 1st and vice versa. In this case for the top we have 1/(z-4) and 2/(z+8), so then we multiply the denominators and get (z+8)/(z-4)(z+8) and 2(z-4)/(z-4)(z+8). To get the final numerator then we first multiply out the 2 and get 2z-8 on the right, then combine the two fractions by adding them, and get 3z/(z-4)(z+8). For the denominator we repeat the same process. We multiply the denominators to get 4(z-6)/(z+8)(z-6) and 3(z+8)/(z-6)(z+8) we simplify the numerators by multiplying the 4 and 3 to get 4z-24 and 3z+24, and then subtract. We then get 4z-24-3z-24 and so z-48 and (z-48)/(z-6)(z+8). So now we have 3z/(z-4)(z+8) for a numerator and (z-48)/(z-6)(z+8) as a denominator. we can multiply z-8 on both sides of the final fraction to cancel out the z-8, and so get 3z/(z-4)/(z-48)/(z-6). As you can no longer simplify anything this is your final fraction.
Divide 12x+60 by 6 because there are six sides to a hexagon and we are talking about perimeter. The length of each side will equal 2x+10.
