Assuming 0 and 100 are included in the possible choices:
There are

multiples of 7 between 0 and 100, so there is a

probability of choosing a multiple of 7.
Let the number of hours be x.
70 + 80x < 100x
20x > 70
x > 3.5
Answer:
The value of p = -14
Step-by-step explanation:
Given the equation

Divide both sides by -6

simplify

Subtract 8 from both sides

simplify

Therefore,
The value of p = -14
The greatest number of people that they may invite and still stay within their budget is 130 people.
The standard form of a linear equation is given by:
y = mx + b
Where y is a dependent variable, x is an independent variable, m is the slope of the line (the rate of change), b is the y intercept (that is the initial value of y).
Let y represent the budget for x number of people.
Since the reception hall charges a $80 cleanup fee plus $34 per person, hence this can be represented by the function:
y = 34x + 80
They have budgeted $4,500 for their reception. Therefore the greatest number of people can be found from:
4500 = 34x + 80
34x = 4420
x = 130 people
Therefore the greatest number of people that they may invite and still stay within their budget is 130 people.
Find out more at: brainly.com/question/24834234
The function
is a cube root function
The function end behavior is:

<h3>How to determine the end behavior?</h3>
The equation of the function is given as:
![f(x) = 4\sqrt[3]{x}](https://tex.z-dn.net/?f=f%28x%29%20%3D%204%5Csqrt%5B3%5D%7Bx%7D)
To determine the end behavior, we plot the graph of the function f(x).
From the attached graph of the function, we can see that:
As x approaches infinity, the function f(x) approaches infinity, and vice versa
Hence, the function end behavior is:

Read more about function end behavior at:
brainly.com/question/23968442