the correct answer is negative
Answer: A. 
Step-by-step explanation:
Total digits on keypad = 5
According to permutation,
If repetition of digits is not allowed then the number of 5-digits passwords can be formed = 5!
= 5 x 4 x 3 x 2 x 1 [n!=n x (n-1) x (n-2)x ... x 1]
=120
The probability that someone guesses the correct code = 

Hence, the correct option is A.
Answer:
42.9 cm^3
Step-by-step explanation:
Volume of the box= (base x width x height) = 8.5 x 5 x 5 = 212.5 cm^3
Radius of a ball = 1.5 cm
Volume of a ball = 4/3 * radius^3 * pi = 4/3 x 1.5^3 x pi = 14,137167 cm^3
Volume of the balls = 14,137167 x 12 = 169,646003 cm^3
Final answer = 212.5 - 169,646003 = 42.9 cm^3
2
This means for every 1 can of black paint there are 2 cans of white paint in the mix
Step-by-step explanation:
The constant of proportionality is the gradient of line which can be evaluated as follows;
Gradient = delta y / delta x
Gradient = (y2 – y 1) / (x2 – x1)
We shall pick two points on the line graph in (x,y) format;
(3. 6) and (1, 2)
We evaluate the gradient now be repalivn the points on the formula;
Gradient = (2 – 6) / 1 – 3
Gradient = - 4 / - 2
Gradeint = 2/1 = 2
= 2
This means for every 1 can of black paint there are 2 cans of white paint in the mix
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25 tickets
I put the information into this equation 5+0.65x=10+0.45x
I solved the equation by first subtracting the 0.45x from both sides to get the variable on one side. I was left with 5+0.20x=10. Then I subtracted the 5 from both sides and got 0.20x=5. Finally I divided both sides by 0.20 to get the X by itself and got X=25