Answer: There were 220 robberies in Springfield in 2010
Step-by-step explanation: If the robberies were reported to be down 20% and the new figure is 176, it simply means the figure 176 depicts 80% (or 0.8) of the figure from year 2010.
We shall take the figure in year 2010 as x, which is 100% (or 1.0) and year 2011 is 176 which is 80% (or 0.8). What we now have is;
176/x = 0.8
176/x = 4/5
By cross multiplication we now have;
(176 x 5)/4 = x
880/4 = x
220 = x
Therefore, there were 220 robberies in Springfield in 2010
Answer: Daniel bought 3 apples and 7 bananas.
Step-by-step explanation:
Let x represent the number of apples that Daniel bought.
Let y represent the number of bananas that Daniel bought.
He bought a total of 10 apples and bananas altogether. This means that
x + y = 10
Daniel and his children went into a grocery store and he bought $10.15 worth of apples and bananas. Each apple costs $1.75 and each banana costs $0.70. This means that
1.75x + 0.7y = 10.15 - - - - - - - - - - - 1
Substituting x = 10 - y into equation 1, it becomes
1.75(10 - y) + 0.7y = 10.15
17.5 - 1.75y + 0.7y = 10.15
- 1.75y + 0.7y = 10.15 - 17.5
- 1.05y = - 7.35
y = - 7.35/- 1.05
y = 7
x = 10 - y = 10 - 7
x = 3
Answer: The data is a random sample from the population of interest.
And
Individual observations can be considered independent.
Step-by-step explanation:
On khan academy
L = 5/4W. L x W = 180. 5/4W x W =180 . 5/4W^2 =180 . W^2 = 180/5/4 . W^2 = 180 x 4/5.
W^2 = 144. W = 12 inches. L = 5/4 W. L = 5/4 x 12 . L = 15 inches.The dimension is 12 by 15
The x and y coordinates of point S are increased by three to get to the midpoint.
(2,1) ----> (5,4)
To get to point t increase the coordinates by three again.
(5,4) -----> (8,7)
answer: (8,7)
