Answer:
(3,2)
Step-by-step explanation:
I graphed the two lines using a graphing tool. The lines intercept at (3,2). Therefore, the solution to the system is (3,2).
Answer:
114.89 degrees
245.11 degrees
Step-by-step explanation:
cos is negative in the second and third quadrant ("pointing" on the x-axis to the left).
so, the first answer for the second quadrant is
114.89 degrees.
the answer for the third quadrant is then backwards the same angles from a full 360 degree rotation
360 - 114.89 = 245.11 degrees
Answer:
-1/2
Step-by-step explanation:
Answer:
The number of horses that can eat 4 stacks of hay in 8 days = 56 horses
Step-by-step explanation:
The given parameters are;
The time it takes 16 horses to eat 5 stacks = 35 days
Therefore;
The time it takes 16 horses to eat 5/5 stacks (1 stack) = 35 days/5 = 7 days
The time it takes 16 horses to eat 1 stack of hay = 7 days
The time it takes 16 horses/16 to eat 1 stack of hay = 7 days × 16 = 112 days
Therefore;
The time it takes 1 horse to eat 1 stack of hay = 112 days
The time it takes 1 horse to eat 4 × 1 stack of hay = 112 days × 4 = 448 days
The time it takes 1 horse to eat 4 stacks of hay = 448 days
Therefore, given that (448 days)/(8 days/horse) = 56 horse, we have;
The number of horses that will eat 4 stacks of hay in 8 days = 56 horses.
Answer:
The correct option is (C) 10.
Step-by-step explanation:
The five-number summary for the number of teams in each of Brad's fantasy football leagues is as follows:
Minimum: 4
<em>Q</em>₁: 7
Median: 10
<em>Q</em>₃: 14
Maximum: 18
The minimum value is the smallest value in the data set.
The first quartile (<em>Q</em>₁) is the value that is less than 75% of the observations.
The median is the middle most value of the data set. It is the value that is less than 50% of the observations.
The third quartile (<em>Q</em>₃) is the value that is less than 25% of the observations.
And the maximum value is the largest value in the data set.
So, the five-number summary suggests that about 50% of Brad's fantasy football leagues have fewer than 10 teams.
Thus, the correct option is (C).
