There are six digits to choose from, but you're only taking three at a time, so the number of such numbers is
![{}_6P_3=\dfrac{6!}{3!}=6\times5\times4=120](https://tex.z-dn.net/?f=%7B%7D_6P_3%3D%5Cdfrac%7B6%21%7D%7B3%21%7D%3D6%5Ctimes5%5Ctimes4%3D120)
The first and last digits can only be even if the number takes the one of the forms "2 _ 8" or "8 _ 2". The middle number can be any of the remaining four, so there is a total of eight such numbers.
This means the probability of getting a number beginning and ending with an even digits is
![\dfrac8{120}=\dfrac1{15}](https://tex.z-dn.net/?f=%5Cdfrac8%7B120%7D%3D%5Cdfrac1%7B15%7D)
.
Answer:
D: She can check to see if the rate of change between the first two ordered pairs is the same as the rate of change between the first and last ordered pairs.
Hope this helped! :)
Answer:
<h3>The answer is 4x</h3>
Step-by-step explanation:
![({64 {x}^{3} })^{ \frac{1}{3} }](https://tex.z-dn.net/?f=%20%28%7B64%20%7Bx%7D%5E%7B3%7D%20%7D%29%5E%7B%20%5Cfrac%7B1%7D%7B3%7D%20%7D%20)
To solve the expression convert 64 to exponential form
That's
64 = 4³
So we have
![( { {4}^{3} {x}^{3} })^{ \frac{1}{3} }](https://tex.z-dn.net/?f=%28%20%7B%20%7B4%7D%5E%7B3%7D%20%20%7Bx%7D%5E%7B3%7D%20%7D%29%5E%7B%20%5Cfrac%7B1%7D%7B3%7D%20%7D%20)
Using the rules of indices
That's
![( { {a}^{x} {b}^{y} })^{z} = {a}^{x \times z} . {b}^{y \times z}](https://tex.z-dn.net/?f=%28%20%7B%20%7Ba%7D%5E%7Bx%7D%20%7Bb%7D%5E%7By%7D%20%20%7D%29%5E%7Bz%7D%20%20%3D%20%20%7Ba%7D%5E%7Bx%20%5Ctimes%20z%7D%20.%20%7Bb%7D%5E%7By%20%5Ctimes%20z%7D%20)
So for the above expression we have
![( { {4}^{3} {x}^{3} })^{ \frac{1}{3} } = {4}^{3 \times \frac{1}{3} } . {x}^{3 \times \frac{1}{3} }](https://tex.z-dn.net/?f=%28%20%7B%20%7B4%7D%5E%7B3%7D%20%20%7Bx%7D%5E%7B3%7D%20%7D%29%5E%7B%20%5Cfrac%7B1%7D%7B3%7D%20%7D%20%20%3D%20%20%7B4%7D%5E%7B3%20%5Ctimes%20%20%5Cfrac%7B1%7D%7B3%7D%20%7D%20.%20%7Bx%7D%5E%7B3%20%5Ctimes%20%20%5Cfrac%7B1%7D%7B3%7D%20%7D%20)
Simplify the expression
We have the final answer as
<h3>4x</h3>
Hope this helps you
Answer:
332 - 333, for nearest its 333
Step-by-step explanation:
Quarters- 10681896
Dimes- 26704740
Nickles- 53409480
Pennies- 267047400
It's simple For a Nickel to hit $1 you need 20 nickels.
Dime- 10 dimes
Pennies- 100
Quarters- 4