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Tju [1.3M]
3 years ago
13

The real number square root of 16 belongs to which sets of numbers?

Mathematics
1 answer:
klasskru [66]3 years ago
3 0

Answer: Square root of 16 is +4 or -4. Since -4 is not a natural number, the square root can be described as an integer.

Step-by-step explanation:

The square root of 16 is a rational number. The square root of 16 is 4, an integer

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Which of the following are magnitudes for rotational symmetry of the rectangle below about the marked point?
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7 0
3 years ago
A company manufactures tires at a cost of $40 each. The following are probabilities of defective tires in a given production run
asambeis [7]

Answer:

The expected cost of the company for a 3000 tires batch is $120255

Step-by-step explanation:

Recall that given a probability of defective tires p, we can model the number of defective tires as a binomial random variable. For 3000 tires, if we have a probability p of having a defective tire, the expected number of defective tires  is 3000p.

Let X be the number of defective tires. We can use the total expectation theorem, as follows: if there are A_1,\dots, A_n events that partition the whole sample space, and we have a random variable X over the sample space, then

E(X) = p(A_1)E(X|A_1) + \dots + p(A_n)E(X|A_n).

So, in this case, we have the following

E(X) = P(p=0\%)E(X|p=0\%)+P(p=1\%)E(X|p=1\%)+P(p=2\%)E(X|p=2\%)+P(p=3\%)E(X|p=3\%) = 0.1\cdot 3000\cdot 0 + 0.3\cdot 3000\cdot 0.01+ 0.4\cdot 3000\cdot 0.02+ 0.2\cdot 3000\cdot 0.03 = 51.

Let Y be the number non defective tires. then X+Y = 3000. So Y = 3000-X. Then E(Y) = 3000-E(X). Then, E(Y) = 2949.

Finally, note that the cost of the batch would be 40Y+45X. Then

E(40Y+45X) = 40E(Y)+45E(X) = 40\cdot 2949+45\cdot 51=120255

3 0
3 years ago
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