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Liula [17]
3 years ago
11

For Which Value of P and W is P+W a rational number. Tell me how you got that answer

Mathematics
2 answers:
Ymorist [56]3 years ago
6 0
300.02 if you use the square root of 72
vladimir2022 [97]3 years ago
5 0

Answer:

Option 2 - P=1/ square root of 4 and W=1/square root of 9                                  

Step-by-step explanation:

To find : For Which Value of P and W is P+W a rational number ?

Solution :

Solving each expression,

1) P= 1/ square root of 3 and W=1/square root of 6

i.e. P=\frac{1}{\sqrt{3}} and W=\frac{1}{\sqrt{6}}

P+W=\frac{1}{\sqrt{3}}+\frac{1}{\sqrt{6}}

P+W=\frac{\sqrt2+1}{\sqrt{6}}

P+W=0.985598559...

It is an irrational number.

2) P=1/ square root of 4 and W=1/square root of 9

i.e. P=\frac{1}{\sqrt{4}} and W=\frac{1}{\sqrt{9}}

P+W=\frac{1}{\sqrt{4}}+\frac{1}{\sqrt{9}}

P+W=\frac{1}{2}+\frac{1}{3}

P+W=\frac{5}{6}

P+W=0.833333.....

It is a rational number as repeating decimal.

3) P=1/square root of 6 and W=1/square root of 10

i.e. P=\frac{1}{\sqrt{6}} and W=\frac{1}{\sqrt{10}}

P+W=\frac{1}{\sqrt{6}}+\frac{1}{\sqrt{10}}

P+W=\frac{\sqrt5+\sqrt3}{\sqrt{30}}

P+W=0.724476056.....

It is an irrational number.

4) P=1/square root of 25 and W=1/square root of 2

i.e. P=\frac{1}{\sqrt{25}} and W=\frac{1}{\sqrt{2}}

P+W=\frac{1}{5}+\frac{1}{\sqrt{2}}

P+W=\frac{\sqrt2+5}{5\sqrt{2}}

P+W=0.9071067811.....

It is an irrational number.

Therefore, Option 2 is correct.

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iren [92.7K]

Answer:

14^{-17}

Step-by-step explanation

using the rules of exponents,  it would be 14^{10}÷14^{27} so then take away 27 from 10 and get -17 meaning that the answer would be A or 14^{-17}

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kozerog [31]

Answer:

The ratio is \frac{2}{3}.

Step-by-step explanation:

The ratio of the perimeters of Quad ABCD to Quad WXYZ = \frac{perimeter of ABCD}{perimeter of WXYZ}

But considering sides AB and WX,

representative factor for both figures = \frac{12}{8}

So that;

WX = 12

XY = 1.5 x 6 = 9

YZ = 1.5 x 7 = 10.5

WZ = 1.5 x 7 = 10.5

Thus,

perimeter of Quad ABCD = 6 + 7 + 7 + 8

                                           = 28

perimeter of Quad WXYZ = 9 + 10.5 + 10.5 + 12

                                           = 42

The ratio of the perimeters of Quad ABCD to Quad WXYZ = \frac{28}{42}

                                                         = \frac{2}{3}

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A literature professor decides to give a 10-questiontrue-false quiz to determine who has read an as-signed novel. She wants to c
Darya [45]

Answer:

The teacher should set the score 7 as the lowest passing grade.

Step-by-step explanation:

Let <em>X</em> = number of correct guesses.

All the questions are of true-false format.

The probability of getting a correct answer is, <em>p</em> = 0.50.

The total number of questions is, <em>n</em> = 10.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 10 and <em>p </em>= 0.50.

The probability mass function of <em>X</em> is:

P(X=x)={10\chose x}0.50^{x}(1-0.50)^{10-x};\ x=0,1,2,3...

Now the teaches chose the grading scheme such that the probability of passing a student who guesses on every question is less than 0.05.

Then the probability of failing such a students is at least 1 - 0.05 = 0.95.

Compute the probability distribution of <em>X</em>.

Consider the probability distribution attached below.

The value of <em>x</em> for which P (X ≤ x) is at least 0.95 is, <em>x</em> = 7.

So the teacher should set the score 7 as the lowest passing grade.

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Answer:

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Answer:

a) 42°F < x < 176°F

b) The inequality graph is attached.

c) No, This is because at 20° F benzene would not be in liquid form but in solid form.

Step-by-step explanation:

According to the Question,

a) For the benzene to remain in liquid form, the temperature of benzene must be less than the boiling point and greater than the boiling point. Let x be the temperature of benzene, For benzene to remain as liquid, its temperature must be between:

42°F < x < 176°F

b) The inequality graph is attached. The graph shows that the temperature of benzene must be between 42°F and 176°F so that it would be a liquid. The Closed circles represent that it is greater than 2.

c) No, This is because at 20° F benzene would not be in liquid form but in solid form. Because the temperature cannot go below 42 before it freezes, she would not have been able to conduct her research .

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