Answer:
1/6 or 16.67
Step-by-step explanation:
As there are 6 parts, the theoretical probability of landing on a one is 1/6 or 16.67 (16.666 repeating).
Answer:

Step-by-step explanation:
Let
c -----> the additional amount (in dollars) David will spend
we know that
The word " at most" in this context means "less than or equal to"
The amount David has spent plus possible additional amounts he will spend must be less than or equal to $39
so
The inequality that represent this situation is

solve for c
subtract 22 both sides


The maximum amount he could spend is $17
Answer:

Step-by-step explanation:
The Fundamental Theorem of Calculus states that:
![\displaystyle \frac{d}{dx}\left[ \int_a^x f(t)\, dt \right] = f(x)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%5B%20%5Cint_a%5Ex%20f%28t%29%5C%2C%20dt%20%20%5Cright%5D%20%3D%20f%28x%29)
Where <em>a</em> is some constant.
We can let:

By substitution:

Taking the derivative of both sides results in:
![\displaystyle g'(s) = \frac{d}{ds}\left[ \int_6^s g(t)\, dt\right]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20g%27%28s%29%20%3D%20%5Cfrac%7Bd%7D%7Bds%7D%5Cleft%5B%20%5Cint_6%5Es%20g%28t%29%5C%2C%20dt%5Cright%5D)
Hence, by the Fundamental Theorem:

Answer:
The answer is the graph D
Step-by-step explanation:
The inequation states that:
abs(x) >3.
By definition, the absolute value | x | is the distance of x from zero. In this case: | x | > 3 The solution is going to be all the points that are greater than three units away from zero.
For that reason the solution is -3>x>3. That is to say, all values greater than 3 or less than -3 are solutions.
3/8 divided by 4/5 is the same as 3 * 5 / 8 * 4 = 15/32 or 0.46875