List two common factors of 36 and 48
2 answers:
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Answer:
P=0.125
If it is repeated 10,000, it is expected "3 tails in a row" about 1,250 times.
Step-by-step explanation:
When flipping a coin a number of times, we can modeled this as a random variable with a binomial distribution.
In this case, we have to calculate the probability of 3 consecutive tails. If we define p as the probability of getting a tail (which has a value of p=0.5 if it is an unbiased coin), the probability of getting 3 tails in a row is:
If that event of "flipping a coin 3 times" is repeated 10,000 times, we can expect to have 3 tails in a row about 1,250 times:
because we expect 0.125 events of this type for every try, so we can multiply this probability (or expected frequency) by the number of trials and we get the expected number of events described.
Answer:
0 ≤ x < 1.12 and 34.18 < x ≤ 39.87
Step-by-step explanation:
Let
x ----> is the number of tires produced, in thousands
C(x) ---> the production cost, in thousands of dollars
we have
This is a vertical parabola open downward (the leading coefficient is negative)
The vertex represent a maximum
The graph in the attached figure
we know that
Looking at the graph
For the interval [0,1.12) ----->
The value of C(x) ---->
That means ----> The production cost is under $75,000
For the interval (34.18,39.87] ----->
The value of C(x) ---->
That means ----> The production cost is under $75,000
Remember that the variable x (number of tires) cannot be a negative number
therefore
If the company wants to keep its production costs under $75,000 a reasonable domain for the constraint x is
0 ≤ x < 1.12 and 34.18 < x ≤ 39.87
