When ordering a pizza, I can choose one of three toppings (labeled P, S, V) and one of two kinds of crust (labeled #1 and #2). What is the sample space of the possible outcomes?

{P#1, P#2, S#1, S#2, B#1, B#2}

Step-by-step explanation:

There are 3 possible options to chose the toppings i.e. P,S and B

There are 2 possible options for crust i.e #1 and #2

Note that for each selected topping I have two options of the crust. For example, if I select topping P, I can select either crust #1 or crust #2. So, my choices will be:

Either P#1 or P#2. Same goes for topping S and B. For topping S, the two possible selections with crust will be:

S#1 and S#2

And for topping B, the options will be:

B#1 and B#2

Sample space is defined as the collection of all possible outcomes. Here, all possible outcomes are all possible combinations of toppings and crust that we just found. So the sample space for this experiment would be:

{P#1, P#2, S#1, S#2, B#1, B#2}

There are total 6 elements in this sample space.

yess

step-by-step explanation:

idk whyy this is happening, i cant even read my notification bc i keep getting errors

~coco

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form