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3 years ago

Help! Hint: A nickel is worth $0.05 and a dime is worth $0.10

Mathematics

1 answer:

katrin2010 [14]3 years ago

7 0

Answer:

Step-by-step explanation:

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For the polynomial x5 – 2x6 + 3, which of these statement(s) is true? Select all that apply A. The polynomial is a trinomial. B.

Evgen [1.6K]

Answer:

A, B and D

Step-by-step explanation:

A. The polynomial is a trinomial.

A trinomial refers to a polynomial with three terms. This option is correct.

B. The degree of the polynomial is 6.

Degree refers to the highest power in the polynomial. This option is correct.

C. The leading coefficient is 1

This is false. The leading coefficient is the coefficient of the variable bearing the degree of the polynomial. This is wrong.

D. Written in standard form, the polynomial is –2x6 + x5 + 3.

This is correct.

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3 years ago

Graph the following piecewise function and then find the range.

Lelechka [254]

C, [1,109). Hope this helps you m8

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3 years ago

What is the difference between independent and conditional probability? Which one requires the use of the Addition Rule? Explain

ch4aika [34]

Answer:

Conditional probability is probability of a second event given a first event has already occurred.

Step-by-step explanation:

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3 years ago

Simplify expression 2i(4.5-20i)3i

Margaret [11]

Answer:

-27+120i

Step-by-step explanation:

that is the answer

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3 years ago

An electronic product contains 48 integrated circuits. The probability that any integrated circuit is defective is 0.01, and the

BigorU [14]

Answer:

0.6173 = 61.73% probability that the product operates.

Step-by-step explanation:

For each integrated circuit, there are only two possible outcomes. Either they are defective, or they are not. The integrated circuits are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

An electronic product contains 48 integrated circuits.

This means that $n = 48$

The probability that any integrated circuit is defective is 0.01.

This means that $p = 0.01$

The product operates only if there are no defective integrated circuits. What is the probability that the product operates?

This is P(X = 0). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{48,0}.(0.01)^{0}.(0.99)^{48} = 0.6173$

0.6173 = 61.73% probability that the product operates.

5 0

3 years ago