Three fourths of the 8th graders at Kingston middle school went on a class trip if 252 students went on the trip, how many 8th g
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Answer:
x 19/6
Step-by-step explanation:
1. Multiply both sides by 6 (the LCM of 6,3)
5/2 + 3-x <= 2(x-2)
2. Simplify 5/2+3-x to 11/2-x
11/2 - x<=2 (x-2)
3. Expand.
11/2-x<= 2x-4
4. Add x to both sides.
11/2<= 2x-4+x
5. Simplify 2x-4+x to 3x-4.
11/2<=3x-4
6. Add 4 to both sides.
11/2+4<=3x
7. Simplify 11/2+4 to 19/2
19/2<=3x
8. Divide both sides by 3
19/2 /3 <=x
9. Simplify 19/2 /3 to 19/2*3
19/2*3<=x
10. Simplify 2*3 to 6
19/6<=x
11. Switch sides.
x>= 19/6
Hope this helps!
Answer:
And that represent the probability that they take longer than 7 minutes to solve the puzzles.
Step-by-step explanation:
The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by:
On this case we have that n= 56 represent the employees selected to solve the puzzles.
We know that 23 out of the 56 selected solved the puzzles in less than 7 minutes.
Let's define the events A and A' like this:
A: Employees solved puzzles in less than 7 minutes
By the complement rule then:
A' : Employees solved puzzles in more than 7 minutes
Based on this we are interested to find the probability for A'
We can begin finding P(A), from the definition of probability we know:
For this case if we replace we got:
And using the complemnt rule we got:
And solving for P(A') we got:
And that represent the probability that they take longer than 7 minutes to solve the puzzles.