Answer:
Length of diagonal is 7.3 yards.
Step-by-step explanation:
Given: The diagonal distance from one corner of the corral to the opposite corner is five yards longer than the width of the corral. The length of the corral is three times the width.
To find: The length of the diagonal of the corral.
Solution: Let the width of the rectangular garden be <em>x</em> yards.
So, the length of the diagonal is 
width of the rectangular corral is 
We know that the square of the diagonal is sum of the squares of the length and width.
So,
Since, side can't be negative.
Now, length of the diagonal is
Hence, length of diagonal is 7.3 yards.
The given data is the following:
Student Trial 1 Trial 2 Trial 3 Average
----------- -------- -------- -------- ------------
1 66.0 66.5 68.5 67.0
2 67.5 64.0 70.5 67.3
3 60.3 60.5 60.5 61.0
4 55.0 58.0 59.0 57.3
Let us check the reported averages.
Student 1:
Average = (66.0 + 66.5 + 68.5)/3 = 67.0 Correct
Student 2:
Average = (67.5 + 64.0 + 70.5)/3 = 67.3 Correct
Student 3:
Average = (60.3 + 60.5 + 60.5)/3 = 604 Incorrect
Student 4:
Average = (55.0 + 58.0 + 59.0)/3 = 57.3 Correct
Answer: Student 3
Answer:
Step-by-step explanation:
This is correct, except that if you have two variables you will need two equations. The other equation (the easy one!) was x+ y = 100, from which you might want to solve for y = 100-x, and substitute into the other equation to get:
.30x + .02(100-x) = .04(100)
.30x + 2 - .02x = 4
.28x = 2
x = 2/.28 = 50/7 or approximately 7.14 gallons of cream
100-x = 92 6/7 or approximately 92.86 gallons of 2%
R^2 at SCC
Set the question up as an equation, where x is equal to the cost of a game
FRIDAY: 5+3x
SATURDAY: 3+5x
∴ 5+3x=3+5x
2=2x
x=1
Therefore the cost of 1 game is $1
Since the sum of all probabilities of all all elementary events will always be equal to 1. Furthermore, the probabilities of all mutually exclusive set of events that is part of the entire sample space will always be total of 1.
So in the problem, the answer is 1/8.
1/8 for red + 3/8 for green + 3/8 for yellow + 1/8 for blue = 8/8 or 1.
