Answer:
Step-by-step explanation:
Given,
Art electives = 3,
History electives = 4,
Computer electives = 5,
Total number of electives = 3 + 4 + 5 = 12,
Since, if a student chooses an art elective and a history elective,
So, the total combination of choosing an art elective and a history elective =
Also, the total combination of choosing any 2 subjects out of 12 subjects =
Hence, the probability that a student chooses an art elective and a history elective =
Which is the required expression.
Answer: Hello!
we have:
3 art electives
4 history electives
5 computer electives
which adds to a total of 12.
If the selection is random, each elective has the same probability.
The probability of selecting an art electives is the quotient between the number of art electives and the total number of electives:
3/12
suppose that this event is true, now we need to see the probability of choosing also a history elective;
We do the same process as before, we have 4 history electives and, because we already selected 1 in the previous step, we have a total of 11 electives:
the probability now is 4/11.
Now we want to calculate the joint probability of bot events is equal to the product of their probabilities; this is:
p= (3/12)*(4/12) = (4*3)/(11*12) = 12/(11*12) = 1/11
But there is also the case where the selection is in the other order (first history and second art) so the probability is equal to
2*1/11 = 2/11
2x − 6y + 3x2 + 7y − 14x
2x + 3y = 1240
x = 2y – 10
How many of each type of ticket were sold?
180 food tickets and 293 ride tickets
180 food tickets and 350 ride tickets
293 food tickets and 180 ride tickets
350 food tickets and 180 ride tickets
The number of food tickets sold is 180 and ride tickets is 350.
In order to determine how many of each type of ticket was sold, the two equations given have to be solved simultaneously using the substitution method.
2x + 3y = 1240 equation 1
x = 2y – 10 equation 2
Substitute for x in equation 1
2(2y -10) + 3y = 1240
4y - 20 + 3y = 1240
Combine similar terms
7y = 1240 + 20
7y = 1260
Divide both sides of the equation by 7
y = 1260 / 7
y = 180
Substitute for y in equation 1
2x + 3(180) = 1240
2x + 540 = 1240
2x = 1240 - 540
2x = 700
x = 700 / 2
x = 350
To learn more about simultaneous equations, please check: brainly.com/question/25875552
Answer:
180 food tickets and 350 ride tickets
Step-by-step explanation: