Write 4x2(–2x2 + 5x3) in standard form. Then classify it by degree and number of terms.

1 answer:

3 0

$20x^5-8x^4$ polynomial of the 5th degree, with two terms.

Distribute 4x^2(–2x^2 + 5x^3) to get –8x^2 + 20x^5. Reorder in standard form 20x^5-8x^4. 5 is the highest exponent so it is the 5th degree, there are two terms because terms are separated by a plus or minus.

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A cylinder soup has a radius of 1,6 in and is 5/7 in. tall what is the volume

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Step-by-step explanation:

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The height of the cylinder, h = 5/7 inch

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slamgirl [31]

Answer:

1.80% probability that in a random sample of 12 major Denver bridges, at least 4 will have an inspection rating of 4 or below in 2020.

Step-by-step explanation:

For each bridge, there are only two possible outcomes. Either it has rating of 4 or below, or it does not. The probability of a bridge being rated 4 or below is independent from other bridges. So we use the binomial probability distribution to solve this problem.

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.

For the year 2020, the engineers forecast that 9% of all major Denver bridges will have ratings of 4 or below.

This means that $p = 0.09$

Use the forecast to find the probability that in a random sample of 12 major Denver bridges, at least 4 will have an inspection rating of 4 or below in 2020.

Either less than 4 have a rating of 4 or below, or at least 4 does. The sum of the probabilities of these events is 1.

$P(X < 4) + P(X \geq 4) = 1$