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mafiozo [28]
3 years ago
15

Which expressions are polynomials??

Mathematics
1 answer:
GrogVix [38]3 years ago
5 0

Answer:

Options (1) and (2)

Step-by-step explanation:

Properties of a polynomial,

1). A polynomial having division by a variable can't be defined as a polynomial.

  Example:

   (y² + \frac{x}{1+x})

2). A polynomial can't have a negative exponent.

  Example : (x^{-2}+y-6)

3). Polynomials don't have the radicals.

  Example : y² + x√3

4). A polynomial can't have a fraction exponent.

   Example : x^2+x^{\frac{1}{2}}-1

By these properties, Options (3) and (4) are not the polynomials.

Options (1) and (2) are the correct options.

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A cone has a volume of 1256 cubic feet and a radius of 10 feet. What is its height?
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What is the value of -6+3-3(-18) ?<br> (Need ASAP with steps!)
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-6+3-3(-18)

Okay.

Work from left to right.
-6 plus 3 equals -3.
(Think of it as in a number line, from the spot of -6, move right three units. This will give you -3. Anyways..)

Now you have -3-3
The result is -6.

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6 0
3 years ago
An article written for a magazine claims that 78% of the magazine's subscribers report eating healthily the previous day. Suppos
Schach [20]

Answer:

89.44% probability that less than 80% of the sample would report eating healthily the previous day

Step-by-step explanation:

We use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

p = 0.78, n = 675

So

\mu = E(X) = np = 675*0.78 = 526.5

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{675*0.78*0.22} = 10.76

What is the approximate probability that less than 80% of the sample would report eating healthily the previous day?

This is the pvalue of Z when X = 0.8*675 = 540. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{540 - 526.5}{10.76}

Z = 1.25

Z = 1.25 has a pvalue of 0.8944

89.44% probability that less than 80% of the sample would report eating healthily the previous day

8 0
3 years ago
The cost of a book was decreased from 60 to 50 by what percent the price decrased with solution​
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Answer:

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Step-by-step explanation:

Use the formula for percent change. If the answer is negative, it is a percent decrease. if the answer is positive, it is a percent increase.

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In this case, use:

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old price = 60

percent change = (new price - old price)/(old price) * 100%

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percent change = -100/6% = -50/3% = -16 1/3%

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Answer:

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5 0
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