<span>Conditional probablility P(A/B) = P(A and B) / P(B). Here, A is sum of two dice being greater than or equal to 9 and B is at least one of the dice showing 6. Number of ways two dice faces can sum up to 9 = (3, 6), (4, 5), (4, 6), (5, 4), (5, 5), (5, 6), (6, 3), (6, 4), (6, 5), (6, 6) = 10 ways. Number of ways that at least one of the dice must show 6 = (1, 6), (2, 6), (3, 6), (4, 6), (5, 6), (6, 6), (6, 5), (6, 4), (6, 3), (6, 2), (6, 1) = 11 ways. Number of ways of rolling a number greater than or equal to 9 and at least one of the dice showing 6 = (3, 6), (4, 6), (5, 6), (6, 3), (6, 4), (6, 5), (6, 6) = 7 ways. Probability of rolling a number greater than or equal to 9 given that at least one of the dice must show a 6 = 7 / 11</span>
So they need $125 to start a slime business.
To get money Carrie start to sell cupcakes for 0.50 cents
Juanita will be selling cards for $2.25
Juanita is selling cards for $2.25 and she is selling at least 35 of them
Carrie is selling cupcakes for 0.50 cents and the number of cupvakes is three times the number of cards so we will multiply 35 x 3=105 number of cupcakes
Then we will multiply 0.50 cents x 105= $53.2 on the cupcakes.
After that, we will multiply $2.25 x 35 for the cards = 78.5
Finally add them together
78.5
+53.3
---------
$ 131.8
So they will have $131.8 after selling cupcakes and cards.
Reflectional symmetry<span> exists when the figure can be folded over onto itself along a line. This line is called the "line of symmetry". The correct answers for this would be.
</span>-A line of symmetry will connect a vertex and a midpoint of an opposite side
-it has 7-fold symmetry.
Answer:
19. 16x-4 ; 20. 10y+1
Step-by-Step explanation:
19. The perimeter of a rectangle is expressed as P= 2(side1) + 2(side2)
If side1= x-3 and side2= 7x+1
P=2(x-3) + 2(7x+1)
=(2x-6) + (14x+2)
P=16x-4
or
P=4(4x-1)
20. The perimeter of a triangle is expressed by adding all three sides together.
If side1=3y+5 side2=y-4 side3=6y
P=(3y+5)+(y-4)+(6y)
P=10y+1
I believe you haven't included the system of equations for us to solve.
However, I will tell you that you need to solve for one variable in an equation and substitute that into the other equation.
For example:
x = yz; z = x/y
a = zb; a = (x/y)b
Hope this helps!