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vovikov84 [41]
3 years ago
13

(2k 3 +6k+1)−(2k 2 +1). Simplify and put into standard form

Mathematics
1 answer:
Rzqust [24]3 years ago
6 0

Answer:

2k^3-2k^2+6k.

Step-by-step explanation:

We have been given an expression and we are asked to simplify our given expression.

(2k^3+6k+1)-(2k^2+1)

Using order of operations (PEMDAS) we will remove parenthesis first.

After removing parenthesis our expression will be,

2k^3+6k+1-2k^2-1

After canceling out 1 with -1 we will get,

2k^3+6k-2k^2

So our given expression simplifies to 2k^3+6k-2k^2.

Let us write our expression in standard form. Since our expression is a polynomial and to write any polynomial in standard form,  we write each term in order of degree, from highest to lowest, left to right.

Upon putting our polynomial into standard form we will get,

2k^3-2k^2+6k

Therefore, after simplifying and putting our given expression in standard form we get our final expression as: 2k^3-2k^2+6k.

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It is reported that 25% of the flights arriving at the Washington Dulles airport in January 2008 were late. Assume the populatio
lawyer [7]

Answer:

P(0.22

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

For this case the standard error is given by:

SE =\sqrt{\frac{p(1-p)}{n}} =\sqrt{\frac{0.25(1-0.25)}{625}}=0.0173

Solution to the problem

For this case we want to find the probability that the sample proportion will be within +-.03 of the population proportion like this:

P(0.25-0.03 < p< 0.25+0.03) =P (0.22

And for this case we can use the following z score:

z = \frac{\hat p - p}{SE_{p}}

And using this formula we got:

P(0.22

And we can find this probability like this:

P(-1.732

8 0
3 years ago
Rhonda sews together three strips of fabric to make a flag the lengths of each strip are 5/8 foot, 3/8 foot, and 6/8 foot. how l
kodGreya [7K]

Answer:

1 ft 9 in

Step-by-step explanation:

To find the length of the flag, we simply need to add the fractions. Because all the lengths have the same denominator, we only need to add the numerators.

5 + 3 + 6 = 14. The flag is 14/8 feet long.

To simplify this, divide 14 ÷ 8 = 1.75

This means the flag is 1 foot and 9 inches.

4 0
4 years ago
Read 2 more answers
Which of the following r-values represents the strongest correlation?
Dahasolnce [82]

Answer: A. 0.62


Step-by-step explanation:

As all the given r values are positive therefore, there is a positive correlation.

A positive correlation means that if one variable gets bigger, the other variable tends to get bigger.

The strongest linear relation is stipulated by a correlation coefficient 'r' of -1 or 1.

The weakest linear relation is stipulated by a correlation coefficient equal to 0.

Thus, the nearest number to 1 , represents the strongest correlation.

Therefore, A. 0.62 is the required answer which represents the strongest correlation. .

3 0
3 years ago
Read 2 more answers
Consider the Matrix shown below:
shepuryov [24]

Answer:

The value of  B_{2,4} - B_{3,2}  is 3 ⇒ 2nd

Step-by-step explanation:

The dimensions of any matrix are (m × n), where

  • m is the number of its row
  • n is the number of its column

Ex: Matrix A of dimensions (2 × 3) has 2 rows and 3 columns, where

A_{1,1} means the element in the 1st row and 1st column

A_{1,2} means the element in the 1st row and 2nd column

A_{1,3} means the element in the 1st row and 3rd column

A_{2,1} means the element in the 2nd row and 1st column

A_{2,2} means the element in the 2nd row and 2nd column

A_{2,3} means the element in the 2nd row and 3rd column

Now lets solve the problem

∵ The matrix B has 3 rows

∴ m = 3

∵ The matrix B has 4 columns

∴ n = 4

∴ The dimensions of matrix B are (3 × 4)

∵ B_{2,4} means the element in the 2nd row and 4th column

∴  B_{2,4} = 9

∵ B_{3,2} means the element in the 3rd row and 2nd column

∴  B_{3,2} = 6

- Find the value of B_{2,4} - B_{3,2}

∵ B_{2,4} - B_{3,2} = 9 - 6

∴ B_{2,4} - B_{3,2} = 3

3 0
4 years ago
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Measurement ECD would also equal 65 
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4 years ago
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