This is a problem of conditional probability that can be calculated by the formula:
P(B | A) = P(A ∩ B) / P(A)
We know that:
- between 1 and 50 there are 41 two-digit numbers, therefore
P(A) = 41/50 = 0.82
- between 1 and 50 there are 8 multiples of six, therefore
P(B) = 8/50 = 0.16
- <span>between 1 and 50 there are 7 two-digits mutiples of six, therefore
P(A ∩ B) = 7/50 = 0.14
Now, we can calculate:
</span>P(B | A) = P(A <span>∩ B) / P(A)
= 0.14 / 0.82
= 0.17
Therefore, the probability of getting a multiple of 6 if we draw a two-digit number is 17%.</span>
The answer is all real numbers
domain is easy like that
15. She bought:
3 jeans, $20 each
1 pants, $18
You find the total: 3(20) + 1(18) = $78 then you apply the discount
Since this is between 50-100, you use the 38% discount (decimal form: 0.38)
38% is being subtracted from your total, so you can do this:
100% - 38% = 62% This is your total after the discount
78(0.62) = 48.36 Your answer is C
16. D Income is the $ you make from your job
17. A Budgeting helps you organize and limit your spending and meet financial goals
18. C Liabilities impacts you negatively, since you have debts to pay off
19. A
Let, speed of 1st bicyclist is x.
So, speed of 2nd bicyclist is x-3 .
We know, relative speed when two objects moves towards each other :
Now, distance travelled in 3 hours is (98-2) miles .
So,
Therefore, speed of bikes are 17.5 mph and 14.5 mph.
Hence, this is the required solution.
Answer:
RS = 2
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
RS² + RT² = TS² , that is
RS² + 6² = 8²
RS² + 36 = 64 ( subtract 36 from both sides )
RS² = 28 ( take the square root of both sides )
RS = 
= 
= 2 ≈ 5.3 ( to 1 dec. place )
