there are 14 red marbles and 19 blue marbles in a bag you randomly choose one of the marbles what is the probability of choosing a red marble write your answer as a fraction in simplest form

4/23

Step-by-step explanation:

Probability of choosing a red marble = # of red marbles / total # of marbles

We are told that there are 4 red marbles and 19 blue marbles

So the # of red marbles = 4

And the total # of marbles = 4 + 19

4 + 19 = 23

So there are a total of 23 marbles

Recall that probability of choosing a red marble is equal to # of red marbles / total # of marbles

Hence, the probability of choosing a red marble is 4/23

Note: 4/23 is already in it's simplest form so no simplifying has to be done.

14/33

Step-by-step explanation:

There are 14 red marbles and 19 blue marbles, meaning that there are 33 marbles in all:

14 + 19 = 33

You are randomly choosing a red marble out of the total amount of marbles. 14/33

Note that you cannot simplify the fraction anymore, and so 14/33 is your answer.

~

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

d is the correct answer

step-by-step explanation:

x= 8 because 3x = 3 * 8, and 3*8 = 24