-12x - 0.4 > 0.2(36.5x + 80) - 55 Remove the brackets.
-12x - 0.4 > 7.3x + 16 - 55 Combine the like terms on the right
-12x - 0.4 > 7.3x - 39 Add 12x to both sides
- 0.4 > 7.3x + 12x - 39
- 0.4 > 19.3x - 39 Add 39 to both sides.
-0.4 + 39 > 19.3x Combine like terms on the left
38.6 > 19.3x Divide by 19.3
38.6 / 19.3 > x
2 > x
Answer:
40 students
Step-by-step explanation:
In this problem, one is given the ratio ( 8 : 3 ), since a ratio is another way of writing a fraction one can rewrite it as; (8) represent the number of students who want to learn about magnets, and (3) represents the number of students who want to learn about magic tricks.
In the problem, it is also given that 25 more students wanted to learn about magnets compared to magic tricks. If one uses the parameter (x) to represent the factor by which the fraction is reduced, then one can get the equation;
8x = 3x + 25
Use inverse operations to solve,
8x = 3x + 25
-3x
5x = 25
/5
x = 5
Substitute back in to find out how many students want to learn about magnets,
8x
= 8(5)
= 40
Answer:
First question: -0.577 cannot be a probability.
Second question: The number must be between 0 and 1, inclusive (D)
Third question: -0.577 cannot be a probability.
Step-by-step explanation:
A probability is a real number that is in the interval [0, 1]. Therefore, any number outside this range cannot be considered a probability. Under this premise:
First question: -0.577 cannot be a probability.
Second question: The number must be between 0 and 1, inclusive (D)
Third question: -0.577 cannot be a probability.
3 are expected to have the condition.
The expected value is the found by multiplying the probability by the number in the sample:
(1/200)×600
= (1/200)×(600/1)
= (1×600)/(200×1)
= 600/200 = 3