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klasskru [66]
3 years ago
7

When is the product of the square root of a prime number and a nonzero rational number a rational number?

Mathematics
1 answer:
Nookie1986 [14]3 years ago
8 0

Answer:

The square root of a prime number is always an irrational number, then the product of the square root of a prime number and a nonzero rational number is equivalent to:

"the product of an irrational number and a rational number different than zero...."

We know that the product of an irrational number and a rational number (different than zero) is ALWAYS an irrational number.

Then "When is the product of the square root of a prime number and a nonzero rational number a rational number?"

Never, the product will always be irrational.

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Answer: So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are all square numbers.

hope this helps

8 0
2 years ago
It is generally believed that the mean value of the district's total SAT score distribution is equal to 1200 (the null hypothesi
g100num [7]

Answer:

The corresponding p-value, is p = 1

Step-by-step explanation:

The maximum score SAT score, n =  1,600

The mean of the district's total SAT score distribution = 1,200

The claim of one of the districts principal, is the that mean of the district's total SAT score distribution ≠ 1,200

Using proportions, we have;

p = 1,200/1,600 = 0.75

q = 1 - p = 0.25

The margin of error, E = Z√(p·q/n)

∴ E = 5% = Z×√((0.75 × 0.25)/1,600)

z = 0.05/(√((0.75 × 0.25)/1,600)) ≈ 4.61880

Therefore, the corresponding p-value, p = 1

7 0
3 years ago
If 2x-6=0 the x =? ​
Oliga [24]

Answer:

x=3

Step-by-step explanation:

7 0
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Jackson’s age was 2/5 of the age he will be 20 years from now 7 years ago. How old is Jackson now?
bonufazy [111]
<h3>The present age of Jackson is 25 years old</h3>

<em><u>Solution:</u></em>

Let the present age of Jackson be "x"

Therefore

Jackson's age 7 years ago = x - 7

And, Jackson's age after 20 years = x + 20

From given question,

Jackson’s age was 2/5 of the age he will be 20 years from now 7 years ago

\frac{2}{5} \times (x + 20) = x - 7\\\\2(x + 20) = 5(x - 7)\\\\2x + 40 = 5x - 35\\\\5x - 2x = 40 +35\\\\3x = 75\\\\Divide\ both\ sides\ by\ 3\\\\x = 25

Thus present age of Jackson is 25 years old

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Answer:it would help of you included a photo because the base is measured differently from the triangles

Step-by-step explanation:

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