The probability of drawing a red marble and then a green marble is:
P = 1/6.
<h3>How to find the probability?</h3>
In the jar we have a total of 16 marbles, such that:
- 10 are green.
- 2 are blue
- 4 are red.
First, the probability of getting a red marble is give by the quotient between the number of red marbles and the total number of marbles:
p = 4/16 = 1/4
Now we need to draw a green one, the probability is computed in the same way, but this time there are 15 marbles, because we already took one.
q = 10/15
The joint probability (first drawing red, then green) is given by the product between the individual probabilities:
P = p*q = (1/4)*(10/15) = 10/60 = 1/6
If you want to learn more about probability:
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The interest rate is 4<span />
Answer: 33 degrees
Step-by-step explanation:
See paper attached. (:
Let us add consecutive odd numbers and try to find any relationship.
1. 1
2. 1+3 = 4 ( square of 2 i.e 
)
3. 1+3+5 = 9 ( 
)
4. 1+3+5+7 = 16 (
)
5. 1+3+5+7+9 = 25 (
)
6. 1+3+5+7+9+11 = 36 ( 
)
7. 1+3+5+7+9+11+13 = 49 (
)
If we notice, the sum of the consecutive odd integers in each case is equal to the square of the place where it lies. For example, the sum of numbers in seventh place is equal to . The sum of the numbers in the fifth line is equal to .
the solution is here,
the coordinate of centre of circle A is (3,2)
and the coordinate of centre of circle B is (3,0).
so the translation point from A to B is (3-0,0-2)=(3,-2).
Now the translation rule is given by (x+h,y+k)
where h is the tranalation anlong the x-axis and k is the translation along the y-axis.
For this problem, translation ruleis (x+3,y-2).
Then, radius of circle A(r1)=2 units
radius of circle B (r2)= 3 units
as the circle A is translated to B, the scale factor is
r2/r1=3/2=1.5
In conclusion, the translation rule for given circles is (x+3,y-2) and its scale factor is 1.5
