The tape diagram represents an equation.
1 answer:
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Answer:
A
Step-by-step explanation:
Given
12x + 7 < - 11 or 5x - 8 > 40
Solve each inequality
12x + 7 < - 11 ( subtract 7 from both sides )
12x < - 18 ( divide both sides by 12 )
x < -
OR
5x - 8 > 40 ( add 8 to both sides )
5x > 48 ( divide both sides by 5 )
x >
Solution is
x < - or x >
→ A
Answer:
a) 0.000016 = 0.0016% probability of selecting and finding that all three bags are overweight.
b) 0.729 = 72.9% probability of selecting and finding that all three bags are satisfactory
Step-by-step explanation:
The condition of the bags in the sample is independent of the other bags, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
a) What is the probability of selecting and finding that all three bags are overweight?
2.5% are overweight, which means that
3 bags means that
This probability is P(X = 3). So
0.000016 = 0.0016% probability of selecting and finding that all three bags are overweight.
b) What is the probability of selecting and finding that all three bags are satisfactory?
90% are satisfactory, which means that
3 bags means that
This probability is P(X = 3). So
0.729 = 72.9% probability of selecting and finding that all three bags are satisfactory