Answer:
The guard should be positioned at the safe
Step-by-step explanation:
The night watchmen should be positioned to guard whichever place gives the highest expected value to the thief.
The expected value of robbing the safe is:
The expected value of robbing the cash register is:
Therefore, the guard should be positioned at the safe since it yields a higher expected value to the thief in case he tries to rob it.
Answer:
D. The triangle is a right triangle, the lengths of its sides are 1 and 1 with a hypotenuse of √2.
Step-by-step explanation:
The Pythagorean Theorem is modeled by a² + b² = c².
c represents the hypotenuse and a and b represent the other two sides.
The Pythagorean Theorem can only be applied to right triangles.
Answer:
b
Step-by-step explanation:
Y is three times the value of x , It can be said that y is directly proportional to Y .
Direct proportion is when an increase in the independent variable causes an increase in the dependent variable.
the equation for direct proportion is :
y = bx
y = dependent variable
b = constant
x = independent variable
Answer:
Step-by-step explanation:
The idea here is to be able to write and then solve the equation needed for this. In words, this is what you are looking to solve: "The active ingredinet is 45% of the mass of the pill". Putting those words into an equation:
active ingredient = .45 (mass of pill). Since our active ingredient is 35 mg:
325 = .45m and divide by .45:
m = 722.2 mg
The correct factorization is
2(x-2)²
