Answer:
2 gallons= 32 cups
Step-by-step explanation:
There are 16 cups in one gallon, therefore there are 32 cups in two.
For this case we have the following equation:

We must clear the variable "x":
We multiply by 2 on both sides of the equation:

We divide by h on both sides of the equation:

We subtract "a" on both sides of the equation:
Answer:
Answer:
a)
X | 1 3 5 7
f(X) | 0.4 0.2 0.2 0.2
b) 
Step-by-step explanation:
For this case we have defined the cumulative distribution function like this:





And we know that the general definition for the distribution function is given by:

Where f represent the density function.
Part a
For this case we need to find the density function, so we can find the values for the density for each value of X = 1,2,3,4,5,6,7,... since X is a discrete random variable.







And for any value higher than 7 we have that:
![x_i \in [8,9,10,...]](https://tex.z-dn.net/?f=%20x_i%20%5Cin%20%5B8%2C9%2C10%2C...%5D)

So then we have our density function defined like this:
X | 1 3 5 7
f(X) | 0.4 0.2 0.2 0.2
Part b
For this case we want to find this probability 
And since the random variable is discrete we can write this like that:

Answer:
96M&M's
Step-by-step explanation:
Given
Probability of picking a Red M&M = 1/2
Probability of picking a Green M&M = 1/2 of 1/2 = 1/4
Since;
Probability = number of possible outcome/total outcome
For green;
Total green(possible outcome) = 24
Probability of choosing green = 1/4
Substitute into the formula;
1/4 = 24/Total outcome
Cross multiply
Total outcome = 4×24
Total outcome = 96
Hence there are 96 M&M's altogether
Tangent is the ratio opposite/adjacent
tan(angle) = opposite/adjacent
tan(x) = 8/5
tan(x) = 1.6
x = arctan(1.6)
x = 57.9946
x = 58 degrees which is the answer
The answer is approximate to the nearest whole number. Make sure your calculator is in degree mode.