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4 years ago

If x is a positive integer for how many different values of x is 48/X whole number

Mathematics

2 answers:

Liula [17]4 years ago

7 0

Answer: 3

Step-by-step explanation:

Given that 'x' is a positive integer. We are to find the number of different values of 'x', the square root of is a whole number.

First, we have to find those values of 'x' for which the given fraction is a square.

Therefore, for 3 values of 'x', the given fraction is a square. So, for those 3 values of 'x', the square root of the fraction will be a whole number.

Thus, the answer is 3.

Dimas [21]4 years ago

6 0

Factors of 48 : 1,2,3,4,6,8,12,16,24,48....all of these numbers can be subbed in for X to arrive at a whole number....so there are 10 different ways

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3 years ago

Heights of men in the United States approximately normally distributed with a mean of 70 inches and a standard deviation of 2.5

ozzi

Answer:

0.0228

Step-by-step explanation:

Given that $\mu=70, \sigma=2.5$

-Let X be the height of the randomly selected man.

-The probability that X>75 inches is calculated as:

$P(X>75)=P(z>\frac{X-\mu}{\sigma})\\\\=P(z>\frac{75-70}{2.5})\\\\=P(z>2)\\\\\therefore P(X>75)=1-P(X$

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3 years ago

The circumference of a circle is approximately 39.25 mm. What is the length of the diameter?

melomori [17]

Answer:

<h2>12.5 millimeters (mm).</h2>

Step-by-step explanation:

Explain/define:

CIRCUMFERENCE: THE DISTANCE AROUND A CIRCLE.

DIAMETER: THE LENGTH OF A STRAIGHT LINE THROUGH THE CENTER OF A CIRCLE.

Mathematics: Formula

$d=c/3.14$

$d-diameter$

$c-circumference$

Mathematics: Solve

To find the length of the diameter from the circumference, divide the circumference by pi. The quotient is the diameter.

3.14 is often used for pi.

$39.25/3.14=12.5.$

Conclude:

Therefore, the length of the diameter of the circle is 12.5 millimeters (mm).

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3 years ago

The cost for a pack of 7 padlocks to $23.80. Find the unit price in dollars per padlock. If necessary, round your answer to the

Galina-37 [17]

It asks to "Find the unit price in dollars per padlock"

The phrasing "dollars per padlock" is the same as "dollars per 1 padlock"

In other words, the teacher wants to know how much 1 padlock costs.

7 padlocks : $23.80

7/7 padlocks : $23.80/7 .... divide both parts by 7

1 padlock : $3.40

We see that 1 padlock costs $3.40, so the unit cost is $3.40 per padlock

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3 years ago