Determine if the expression -a^3b^5 is a polynomial or not. If it is a polynomial, state

Problems 1-8, name the sets of numbers to which each number belongs.

posledela

The name of the sets of the numbers to which each of the given number belongs is:

7 = Natural number. Integer. Rational number.
√23 = Irrational number.
л = Irrational number.
O = Rational number. Integer.
-0.5 = Rational number.
-2.5 = Rational number.
√0.09 = Rational number.
-√0.9 = Irrational number.

<h3>What are sets of numbers?</h3>

These are the various types of number groups that exist for categorizing numbers.

Natural numbers are all positive numbers from 1 to infinity while integers are positive and negative whole numbers. A decimal cannot be an integer as a result.

Rational numbers are discrete which means that they are terminating and eventually stop going while irrational numbers will keep going to infinity and are therefore non-terminating.

Find out more on sets of numbers at brainly.com/question/13081505

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7 0

1 year ago

Required information An article presents a new method for timing traffic signals in heavily traveled intersections. The effectiv

Natasha2012 [34]

Answer:

$652.6-2.01\frac{311.7}{\sqrt{50}}=563.997$

$652.6+2.01\frac{311.7}{\sqrt{50}}=741.203$

So on this case the 95% confidence interval would be given by (563.997;741.203)

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".

$\bar X=652.6$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=311.7 represent the sample standard deviation

n=50 represent the sample size

Soltuion to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=50-1=49$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,49)".And we see that $t_{\alpha/2}=2.01$