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Alina [70]
3 years ago
13

Name each expression by the number of it's terms. Use monomial, binomial, trinomial, and polynomial

Mathematics
2 answers:
Kobotan [32]3 years ago
8 0

Answer:

1. Binomial 2. Trinomial 3. Trinomial 4. Polynomial 5. Polynomial 6. Polynomial 7. Trinomial 8. Binomial 9. Polynomial 10. Monomial

Step-by-step explanation:

For future references, you can use this to find out what the expression (number of its terms) is...

Monomial > One term = 2x^5

Binomial > Two terms = x^2 + 5

Trinomial > Three terms = 3x - 8 + 4x^5

Polynomial > Four terms (or more) = -7a^2 + 9b - 4b^3 + 6

mafiozo [28]3 years ago
7 0

Answer:

1. Binomial 2. Trinomial 3. Trinomial 4. Polynomial 5. Polynomial 6. Polynomial 7. Trinomial 8. Binomial 9. Polynomial 10. Monomial

Step-by-step explanation:

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Mr. George has a bank balance of -42 dollars at the start of the month. After he deposits 6 dollars, the new balance is (with fu
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3 years ago
The television show CSI: Shoboygan has been successful for many years. That show recently had a share of 18, meaning that among
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Answer:

(a) The value of P (None) is 0.062.

(b) The value of P(at least one) is 0.938.

(c) The value of P(at most one) is 0.253.

(d) The event is not unusual.

Step-by-step explanation:

Let <em>X</em> = number of households watching the show.

The probability of the random variable <em>x</em> is, P (X) = <em>p</em> = 0.18.

The sample selected for the survey is of size, <em>n</em> = 14

The random variable <em>X</em> follows a Binomial distribution with parameter <em>n</em> = 14 and <em>p</em> = 0.18.

The probability of a Binomial distribution is computed using the formula:

P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0,1,2,...

(a)

Compute the probability that none of the households are tuned to CSI: Shoboygan as follows:

P(X=0)={14\choose 0}(0.18)^{0}(1-0.18)^{14-0}=1\times1\times0.06214=0.062

Thus, the value of P (None) is 0.062.

(b)

Compute the probability that at least one household is tuned to CSI: Shoboygan as follows:

P (X ≥ 1) = 1 - P (X < 1)

             = 1 - P (X = 0)

             =1-0.062\\=0.938

Thus, the value of P(at least one) is 0.938.

(c)

Compute the probability that at most one household is tuned to CSI: Shoboygan as follows:

P (X ≤ 1) = P (X = 0) + P (X = 1)

             ={14\choose 0}(0.18)^{0}(1-0.18)^{14-0}+{14\choose 1}(0.18)^{1}(1-0.18)^{14-1}\\=0.062+0.191\\=0.253

Thus, the value of P(at most one) is 0.253.

(d)

An event that has a very low probability of occurrence is known as an unusual event.

The probability of the event "at most one household is tuned to CSI: Shoboygan" is 0.253.

This probability value is not low.

Hence, the event is not unusual.

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