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avanturin [10]
2 years ago
10

Which expressions below equal a rational number? Choose all that apply. 4/5 + 3/8; sqrt(100) + sqrt(5); 7sqrt(5) - sqrt(245); (4

sqrt(7))(2sqrt(7)); pi * sqrt(36)
Mathematics
1 answer:
masha68 [24]2 years ago
8 0

Answer:

Step-by-step explanation:

<h3>Rational number</h3>

1)  \dfrac{4}{5}+\dfrac{3}{8}\\\\\dfrac{4}{5} \ \text{is a rational number} \ and \ \dfrac{3}{8} \ \text{is a rational number}\\\\\dfrac{4}{5}+\dfrac{3}{8} \ \text{is also a rational number}

b) \sqrt{100}+\sqrt{5} = 10+\sqrt{5}\\\\\sqrt{5} \ \text{is a irrational number}. \\\\ \text{Rational number added to irrational number will result in an irrational number}\\\\10 + \sqrt{5} \ is \ not \ a \ rational \ number.

c)

7\sqrt{5}-\sqrt{245}=7\sqrt{5}-\sqrt{7*7*5}

                   = 7\sqrt{5}-7\sqrt{5}\\\\=0\\\\\text{\bf $ 7\sqrt{5}-\sqrt{245}$ ia a rational number}

d)

(4\sqrt{7})*(2\sqrt{7})=4*2*\sqrt{7*7}\\

                       = 4*2*7

                       = 56

4\sqrt{7}*2\sqrt{7} \ \text{\bf is a rational number}

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Answer:

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3 years ago
4*10^6 is how many times as large as 1*10^4?
maxonik [38]
So you want to know how many times  4*10^6 fits inside 1*10^4, if so, here's the answer:

First we see that 4*10^6 is equal to <span>4,000,000, and</span> 1*10^4 is equal to 10,000.

Then we divide \frac{4,000,000}{10,000}, and we get 400, so.

The answer is 400.

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3 years ago
The area of a rectangular painting is 13.02 square feet. The width is 4.2 feet. What is the length?
Kay [80]

Answer:

3.1

Step-by-step explanation:

Since this is area and you are given the width must divide area by width ( A/W = L) 13.02 divided by 4.2 = 3.1. You can check this by doing 3.1 multiplied by 4.2. It should give you 13.02

3 0
4 years ago
Read 2 more answers
Which of the following would be an appropriate alternative hypothesis?
Dennis_Churaev [7]

Answer:

a. The population proportion is less than 0.65

True, we ar interested in see if the population proportion is (less, higher, not equal) to a specified value.

Step-by-step explanation:

1) Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

2) Solution to the problem

a. The population proportion is less than 0.65

True, we ar interested in see if the population proportion is (less, higher, not equal) to a specified value.

b. The sample proportion is less than 0.65

FALSE, we are interesed on parameters, not in statistics like the sample proportion when we conduct a hypothesis test.

c. The population proportion is equal to 0.65

FALSE, the alternative hypothesis can never have an equal sign.

d. The sample proportion is equal to 0.65

FALSE, the alternative hypothesis can never have an equal sign. And we are interesed on parameters, not in statistics like the sample proportion when we conduct a hypothesis test.

e. both (a) and (d)

FALSE, a its correct but option d no.

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3 years ago
How to work out 1204 divided by 7
algol [13]
The answer is 172. hope that helps
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3 years ago
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