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8090 [49]
3 years ago
12

To which set of real numbers does the following number belong?

Mathematics
2 answers:
strojnjashka [21]3 years ago
7 0

Irrational would be the right answer!


Sever21 [200]3 years ago
4 0

Discussion

A whole number is a counting number. 2 5 29 44 18 are all counting numbers. They have no decimals trailing after them. C is not the answer.

An imaginary number is one like 18i where i is the square root of - 1. Nothing in our number system will give the square root of - 1 so we have to define that condition into our number system. i * i = - 1. So by definition and definition alone i is the square root of - 1. Those are called imaginary numbers because they are defined.

A rational number can be expressed as a fraction. It does not matter what kind of fraction. It is just a fraction. 3 1/3 = 10/3 That's a rational number. 14/7 is also rational.

sqrt(3) is irrational. It has an endless line of decimal places that have no pattern. 1/7 = 0.142857 ... repeating. But it is rational even though the decimal goes on forever. If I tell you the 70th place is a 5, I can tell you that the next digit will by a 7 [The 5 may not be true].

No such statement can be made about sqrt(3).

Answer: irrational.

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52.63              

Step-by-step explanation:

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2 years ago
The expression 15w + 65 factored using the gcf is?
Mrac [35]
The gcf is 5, factored it’d look like
5(w+13)
8 0
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\\ \tt\hookrightarrow( g\circ h)(x)=g(h(x))

\\ \tt\hookrightarrow \dfrac{8(3x+10)-1}{3x+10+4}

\\ \tt\hookrightarrow \dfrac{8(3x)+8(10)-1}{3x+14}

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2 years ago
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Rashid [163]

Answer:

Step-by-step explanation:

Charging by the quarter mile is for purpose of making that particular taxi service seem cheaper than the others when they post a per mile charge.  If this taxi company is charging .50 per 1/4 mile, they are charging $2 per mile.  So we will base our equation on the per mile charge, not the per quarter-mile charge.  If x is the number of mile driven (our uknown), and we have a flat fee of $2.50 regardless of how many miles we are driven, the cost function in terms of miles is

C(x) = 2x + 2.50

If we are driven 5 miles, then

C(5) = 2(5) + 2.50 so

C(5) = 10 + 2.50 and

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5 0
3 years ago
According to the last census (2010), the mean number of people per household in the United States is LaTeX: \mu = 2.58 Assume a
Veseljchak [2.6K]

Answer:

P(2.50 < Xbar < 2.66) = 0.046

Step-by-step explanation:

We are given that Population Mean, \mu = 2.58 and Standard deviation, \sigma = 0.75

Also, a random sample (n) of 110 households is taken.

Let Xbar = sample mean household size

The z score probability distribution for sample mean is give by;

             Z = \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

So, probability that the sample mean household size is between 2.50 and 2.66 people = P(2.50 < Xbar < 2.66)

P(2.50 < Xbar < 2.66) = P(Xbar < 2.66) - P(Xbar \leq 2.50)

P(Xbar < 2.66) = P( \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } < \frac{2.66-2.78}{\frac{0.75}{\sqrt{110} } } ) = P(Z < -1.68) = 1 - P(Z  1.68)

                                                              = 1 - 0.95352 = 0.04648

P(Xbar \leq 2.50) = P( \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } \leq \frac{2.50-2.78}{\frac{0.75}{\sqrt{110} } }  ) = P(Z \leq  -3.92) = 1 - P(Z < 3.92)

                                                              = 1 - 0.99996 = 0.00004  

Therefore, P(2.50 < Xbar < 2.66) = 0.04648 - 0.00004 = 0.046

7 0
3 years ago
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