Marcus gardens. He pulls weeds for 18 minutes, Waters for 13 minutes, andplants for 16 minutes how many total minutes does he sp
2 answers:
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Answer:
A, C, D and K
Step-by-step explanation:
First, plot the solution set to the system of two inequalities.
The inequality determines solid line and bottom shaded region under this line.
The inequality determines dotted line and top shaded region under this line.
The intersection of these two regions is the solution set to the system of two inequalities.
Points A, C, D and K belong to this region.
Answer:
1.80% probability that in a random sample of 12 major Denver bridges, at least 4 will have an inspection rating of 4 or below in 2020.
Step-by-step explanation:
For each bridge, there are only two possible outcomes. Either it has rating of 4 or below, or it does not. The probability of a bridge being rated 4 or below is independent from other bridges. So we use the binomial probability distribution to solve this problem.
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.
For the year 2020, the engineers forecast that 9% of all major Denver bridges will have ratings of 4 or below.
This means that
Use the forecast to find the probability that in a random sample of 12 major Denver bridges, at least 4 will have an inspection rating of 4 or below in 2020.
Either less than 4 have a rating of 4 or below, or at least 4 does. The sum of the probabilities of these events is 1.
So
We want
So
In which
Finally
1.80% probability that in a random sample of 12 major Denver bridges, at least 4 will have an inspection rating of 4 or below in 2020.