Answer:
Below.
Step-by-step explanation:
7P4
= 7! / (7-4)!
= 7*6*5*4*3*2*1 / ( 3*2*1)
= 7*6*5*4
= 840.
12C5
= 12! / (12-5)! 5!
= 12*11*10*9*8*7*6*5*4*3*2*1 / ( 7*6*5*4*3*2*1 * 5*4*3*2*1)
= 12*11*10*9*8 / 5*4*3*2*1
= 792.
total number of cards: 12 + 27 + 91 = 130
total number of cards with a circle: 91
so you have a 91/130 probability which reduces to 7/10 probability
Answer:
The volume of the cube is;
Step-by-step explanation:
The parameters of the prism are;
The number of cubes used to fill the prism, n = 70 cubes
The side length of each cube, s = 1/2 unit
The volume of the cube, V = n × s³
∴ Therefore, the volume of the cube, V = 70 × (1/2)³ = = 8.75 cube unit
-58 is your answer.
17 - 75 = -58
I hope this helps!
Answer:
-⅗ = x
Step-by-step explanation:
Here is what you get when you distribute the -2 on the left side of the equivalence symbol and combine like-terms on the right side of the equivalence symbol:
-2x - 4 = 3x - 1
Here is the solution:
-2x - 4 = 3x - 1
-3x -3x
----------------
-5x - 4 = -1
4 +4
----------------
-5x = 3
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-5 -5
x = -⅗
I am joyous to assist you anytime.
