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3 years ago

Will positive numbers always have a higher absolute value than negative numbers?

1 answer:

6 0

-I5I=-5 vs. I-5I= 5

The absolute value will stay the same for both negative and positive. The result will change depending on where you put your absolute value signs.

You might be interested in

Write an equation of the circle with center (-6, 2) and diameter 10.

marshall27 [118]

Solution:

We know that the formula to write the equation of a circle is (x – h)² + (y – k)² = r², where h is the x coordinate, k is the y-coordinate, r is the radius of circle, and the center of circle is (-6,2).

Finding the radius of the circle.

Diameter: 10 units
Radius: 10/2 units = 5 units

Creating the equation:

(x – h)² + (y – k)² = r²
=> (x + 6)² + (y – 2)² = 5²

The equation is (x + 6)² + (y – 2)² = 5².

Learn more: brainly.com/question/26573763

6 0

2 years ago

Naval intelligence reports that 99 enemy vessels in a fleet of 1818 are carrying nuclear weapons. If 99 vessels are randomly tar

oee [108]

Answer:

0.001687 = 0.1687% probability that no more than 1 vessel transporting nuclear weapons was destroyed.

Step-by-step explanation:

The vessels are destroyed and then not replaced, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

Fleet of 18 means that $N = 18$

9 are carrying nuclear weapons, which means that $k = 9$

9 are destroyed, which means that $n = 9$

What is the probability that no more than 1 vessel transporting nuclear weapons was destroyed?

This is:

$P(X \leq 1) = P(X = 0) + P(X = 1)$

In which

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 0) = h(0,18,9,9) = \frac{C_{9,0}*C_{9,9}}{C_{18,9}} = 0.000021$

$P(X = 1) = h(1,18,9,9) = \frac{C_{9,1}*C_{9,8}}{C_{18,9}} = 0.001666$

Then

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.000021 + 0.001666 = 0.001687$

0.001687 = 0.1687% probability that no more than 1 vessel transporting nuclear weapons was destroyed.

4 0

3 years ago

It is impossible to create a square pyramid by rotating a shape about an axis because its base is not ________.

natta225 [31]

It is impossible because it's base is not circular. A solid of revolution is obtained by rotating a plane curve around some straight line, that is, the axis of revolution that lies on the same plane. The closest to a square pyramid applying this concept is by rotating a right triangle around the opposite or adjacent side (the axis), but the shape that you get is a straight circular cone.

7 0

2 years ago

1 peck= how many quarts

Fynjy0 [20]

Answer:

9.30918

Step-by-step explanation:

3 0

2 years ago

What is the perimeter of rhombus LMNO? 20 units 24 units 40 units 48 units

NeTakaya

The little lines on each side of the rhombus mean that all the sides are the same length.

We can set line LM and MN equal to solve for X, then we can solve the length of a side.

3x-3 = x+7

Add 3 to each side:
3x = x +10

Subtract x from each side:

2x = 10

Divide both sides by 2:
x = 10/2
x = 5

Now we have the value for x, replace x in one of the side formulas:

x +7 = 5+7 = 12

Each side = 12 units.

The perimeter would be 12 + 12 + 12 + 12 = 48 units.

3 0

3 years ago

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