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Answer:
Step-by-step explanation:
We get possible sums from 1 + 1 = 2 to 6 + 6 = 12 when we toss two dices together. Total ways 6*6 = 36
a.
<u>Prime numbers:</u>
- 2, 3, 5, 7, 11 - total 5 outcomes with 15 ways (1+1, 1+2, 1+4, 1+6,2+1, 2+3, 2+5, 3+2, 3+4, 4+1, 4+3, 5+2, 5+6, 6+1, 6+5)
b.
<u>Perfect squares:</u>
- 4, 9 - total 2 outcomes with 3 ways for 4 (1 +3, 2+2, 3+1) and 4 ways for 9 (3+6, 4+5, 5+4,6+3)
- P(perfect square) = (3 + 4)/36 = 7/36
c.
<u>Perfect cube:</u>
- 8 - one outcome with 5 ways (2+6,3+5,4+4,5+3,6+2)
- P(perfect cube) = 5/36
The correct option is number 1, carol will travel 12 miles while orlando will travel only 11.5 :)
Answer:
the 19th term of the arithmetic sequence is 73.
Step-by-step explanation:
Given:
The arithmetic sequence whose common difference is
And first term is
Find the 19th term of the arithmetic sequence
Now we know that,
Put all the value in above AP.
So, 
term of the sequence is 73.
Answer:
y = 7
x = 24
Step-by-step explanation:
When two triangles are similar, the ratio of their corresponding sides are equal
For the bigger triangle we have a total 48; so for the smaller we have x
For the bigger, we have 14, so for the smaller, we have y
Mathematically;
25/x = 50/48
x * 50 = 25 * 48
x = (25 * 48)/50
x = 24
For y;
25/y = 50/14
y = (25 * 14)/50
y = 7
