The correct choice would be 128.
If there are 6 options and the person can pick any number of toppings, we need to know the number of subsets that can be formed with 6. That would be 2^6 or 64.
Since there is a pan or hand-tossed option, we need to multiply 64 by 2 to find the total.
64 x 2 = 128
Answer:The first option has a higher cost per liter and the required cost is $1.40 per liter.
Step-by-step explanation:
Step-by-step explanation: Given that a 2 liter bottle of juice cost $2.80. A box containing six 12 liter bottle sells for $3.90.
We are to select the option that has a higher cost per liter.
We will be using the UNITARY method to solve the given problem.
Option (1) :
The cost of 2 liter bottle of juice = $2.80.
So, the cost of 1 liter bottle of juice will be
Option (2) :
The cost of six 12 liters bottle of juice = $3.90.
So, the cost of 1 liter bottle of juice will be
Since 0.05>1.40, so the option of 2 liter bottle costing $2.80 has a higher cost per liter.
And, the required cost is $1.40 per liter.
Well when you multiply it would most likely be 180
The smallest value it could be is 4 and the largest value it could be is 10.
The triangle inequality theorem states that any two sides of a triangle must have a sum greater than the third side. Given the two sides we have, 7 and 4, the sum would be 11; this would mean that the missing side could be no more than 10.
If we take the unknown side and the smallest one we're given, we would have the inequality
n+4>7
Subtracting 4 from both sides we would have n>3. That means it would have to be the next integer up, which would be 4.
Answer:
a) 4,096
b) 0.000244
Step-by-step explanation:
a)
By the Fundamental rule of counting, there are
4*4*4*4*4*4 = 4,096
ways of forming six-digit arrangements where each position has 4 possibilities (1 to 4)
b)
The probability of entering the correct code on the first try, assuming that the owner does not remember the code is
1/4096 = 0.000244