If the cubes are die such that each face has numbers from 1 to 6. Rolling two of them, there are 6x6 or 36 ways in which they may be arranged. For their numbers to sum to 7, the numbers should be 1 and 6, 2 and 5, 2 and 6, 3 and 4, 3 and 5, 3 and 6, 4 and 3, 4 and 4, 4 and 5, 4 and 6, 5 and 2, 5 and 3, 5 and 4, 5 and 5, 5 and 6, 6 and 1, 6 and 2, 6 and 3, 6 and 4, 6 and 5, 6 and 6. All in all there are 21 out of 36 and the probability is equal to 7/12.
Answer:
63% of all undergraduates receive at least one grant or scholarship.
Step-by-step explanation:
Scholarships and grants, which covered 31% of cost, and parent income and savings, which covered 30%, are the top two sources of funding. The share of cost paid from other resources are 14% from student borrowing, 13% from student income and savings, 10% from parent borrowing, and 2% from friends and family.
Answer: (4, 8)
Step-by-step explanation:
When you translate something to the left you need to subtract the amount you moved left from the original x input
1. Subtract 3 from the coordinates x input
4 - 3 = 1
When you translate something up you need to add the amount you moved up to the original y output
2. Add 5 to the coordinates y output
-3 + 5 = 2
When done translating to the left and up your coordinate is now (1, 2)
When dialating something you need to multiply the scale factor in which you dialated the coordinate to both the x input and y output
3. Multiply 4 to the x input and y output of your newley translated coordinate
1 × 4 = 4 (x input)
2 × 4 = 8 (y output)
So now your final coordinate for C' is (4, 8)!
Hope this helps :)
Let "a" and "b" represent the numbers of people on teams Alpha and Beta, respectively. The problem statement tells you
a = (1/4)b
b - 6 - 12 = a + 12
The first equation can be rewritten to give an expresion for b:
b = 4a
This can be substituted into the second equation to get
4a -18 = a +12
3a = 30
a = 10
There were originally 10 people on team Alpha.
