The result of rolling a number cube 7 times is a 7-digit number composed of digits 1,2,3,4,5 and 6 so that digits can repeat. The total number of possibilities is 6^7.
The number of possibilities where 4 appears exactly two times is 5^5*(7!-6!/2).
5^5 is the number of 5-digits numbers composed of digits 1,2,3,5 and 6 so that digits can repeat.
7! is the number of permutations of digits 1,2,3,4,4,5 and 6.
6! is the number of permutations of digits 1,2,3,{4,4},5 and 6.
We don't want to subtract all numbers where digits 4 appear side by side. That's why we must divide 6! by 2.
Finally, the probability is P=5^5(7!-6!/2)/7^7
Answer:
3
Step-by-step explanation:
Look at how the x values gets multiplied by 3
Answer:
y = -13/16
Step-by-step explanation:
<u>Given:</u>
0.8y+0.25= -0.4
<u>To Find:</u>
Solve for y
<u>Solution:</u>
Multiply both sides by 100

Simplify

Subtract 25 from both sides

Simplify

Divide both sides by 80

Simplify

Thus, y = -13/16
or in decimal form it equal y = -0.8125
<u><em>~Lenvy~</em></u>
Answer:
x = 35
Step-by-step explanation:
Sum of angles of triangle = 180°
- 60 + 60 + 4x - 80 = 180
- 40 + 4x = 180
- 4x = 140
- x = 140/4
- x = 35°
Answer: 
<u>Step-by-step explanation:</u>

