The penny can land two ways.
The nickel can land two ways.
The dime can land two ways.
The quarter can land two ways.
The total number of ways that all of them can land is (2x2x2x2)= 16 possibilities.
Only ONE result shows no heads . . .
TAIL-TAIL- TAIL-TAIL.
All of the other 15 possibilities include at least one HEAD. So the probability is 15/16 = 93.25% .
Answer:
Step-by-step explanation:
The given system of equations is expressed as
3x + y = 9 - - - - - - - - - - - - - - -1
3x = 9 - y - - - - - - - - - - - - - -2
To apply the method of elimination, we would rearrange equation 2 so that it would take the form of equation 1. Therefore, we would add y to the left hand side and the right hand side of the equation, it becomes
3x + y = 9 - - - - - - - - - - - - - - - - -3
Subtracting equation 3 from equation 1, it becomes
0 = 0
The equations have infinitely many solutions because if we input any values of x and y that satisfies the first equation, those values will also satisfy the second equation.
Answer:

Step-by-step explanation:
So we have the function:

To solve for the inverse of a function, change f(x) and x, change the f(x) to f⁻¹(x), and solve for it. Therefore:

Add 9 to both sides:

Take the natural log of both sides:

The right side cancels:

Divide both sides by 6:

And we're done!
Answer:
1022
Step-by-step explanation:
total of eggs
= 53 × 24
= 1272
the good eggs
= 1272 - 250
= 1022