The perimeter of this isosceles triangle is 22 cm. If one side is 6 cm, what are the possible lengths of the other two sides? Part B Explain how you know. Provide at least one reason for your answer.
we know that
the isosceles triangle has two equal sides
let's analyze two cases
first case perimeter=22 cm let's suppose that the known side of 6 cm is one of the two equal sides perimeter=6+6+x 22=6+6+x-----> x=22-12----> x=10 cm
answer first case the possible lengths of the other two sides are 6 cm 10 cm
second case let's suppose that the known side of 6 cm is the side that is not equal perimeter=22 cm perimeter=6+x+x 22=6+x+x----> 2x=22-6----> 2x=16-----> x=8 cm
answer second case the possible lengths of the other two sides are 8 cm 8 cm
6 subtracted from the quotient of 84 and 7
Your answer is: 6
6 is your answer
The principles of probability help bridge the worlds of _____________ statistics and _____________ statistics.
Descriptive statistics uses the data to provide descriptions of the population, either through numerical calculations or graphs or tables.
Inferential statistics makes inferences and predictions about a population based on a sample of data taken from the population in question
the states of nature are defined so that they are which of the following, meaning that at least one state of nature must occur at a given time for a chance event? mutually exclusive optimistic outcomes collectively exhaustive certain events
The states of nature must be mutually exclusive and collectively exhaustive.
The states of nature in decision theory are defined as mutually exclusive and collectively exhaustive, meaning that they are the only possible outcomes of a chance event, and only one of them can occur at a given time.
In other words, the states of nature represent all the possible outcomes of a chance event, and they are mutually exclusive because they cannot occur simultaneously. For example, if the states of nature are "rain" and "no rain," then either it will rain or it will not rain at a given time, but not both.
The term "collectively exhaustive" means that the set of states of nature includes all possible outcomes, so that there are no other possibilities beyond the ones listed. This ensures that the decision maker has considered all possible outcomes when making a decision.
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