The Skateboard club has 2 different colours of skateboards Blue and Red. Can you find the number of skateboards of each colour, if the total number of skateboards is 15, and their product is 44

11 and 4 respectively

Step-by-step explanation:

Let's denote the number of skate board for each color by x and y.

x + y = 15 i

x × y = 44 ii.

From equation I

x = 15 - y iii

Put equation iii into ii.

x × y = 44

(15 - y) × y = 44

15y - y² = 44

15y - y² - 44 = 0

y² - 15y + 44 = 0

y² - 11y - 4y + 44 = 0.

y(y - 11) + 4(y - 11) = 0

(y - 4) = 0. .

y = 0 + 4.

y = 4

(y - 11) = 0

y = 0 + 11 = 11

The colors have 11 and 4 colors of blue and red respectively

the expected value of the random variable : 0, 1 and 2

step-by-step explanation:

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.