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1 year ago

Suppose we want to choose colors, without replacement, from the colors red, blue, green, and purple.

Mathematics

1 answer:

DerKrebs [107]1 year ago

4 0

The number of ways when the choice is not relevant is 4

<h3>How to determine the number of ways?</h3>

The number of colors are:

Colors, n = 4

The color to choose are:

r = 3

Relevant choice

When the choice is relevant, we have:

$Ways = ^nP_r$

This gives

$Ways = ^4P_3$

Evaluate

Ways = 24

Hence, the number of ways when the choice is relevant is 24

Not relevant choice

When the choice is not relevant, we have:

$Ways = ^nC_r$

This gives

$Ways = ^4C_3$

Evaluate

Ways = 4

Hence, the number of ways when the choice is not relevant is 4

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Answer:

Step-by-step explanation:

Given

h(x) = x^ - 2
h(-3) = ?

Substitute x with -3

h(-3) = (-3)^-2 = 3^-2 = 9^-1 = 1/9

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2 years ago

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2 years ago

-2(4х + 4) — 3х – 2 = 34 Find x

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Answer:

x = -4

Step-by-step explanation:

Distribute the -2 into the parentheses and your equation becomes -8x - 8 - 3x - 2 = 34

Then combine the -8x and -3x as well as the -8 and -2 to have -11x - 10 = 34

Add 10 to both sides and get -11x = 44

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2 years ago

Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.

guajiro [1.7K]

Answer:

Length of x ⇒ ( About ) 11.5; Option C

Step-by-step explanation:

~ Let us plan this question step-by-step. We know that the line segment with length 13.1 is a radii to the circle, as well as a hypotenuse to a right triangle. Respectively the hypotenuse of another triangle is a hypotenuse as well. By radii ≅, these two part of these two triangles are ≅ ~

1. If these two parts are ≅, the triangle with leg x has a hypotenuse of 13.1 as well ( through ≅ ). This would mean that Pythagorean theorem is applicable for this triangle, as to solve for line segment x.

2. By Pythagorean Theorem ⇒

6.2^2 + x^2 = 13.1^2,

38.44 + x^2 = 171.61,

x^2 = 133.17

Length of x ⇒ ( About ) 11.5

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2 years ago

The average mass of an ant is approximately 3 × 10 − 3 grams. The average mass of a giraffe is approximately 2 × 10 3 kilograms.

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Given that average mass of an ant $= 3 \times 10^{-3}$ grams.

Given that average mass of a giraffe $= 2 \times 10^{3}$ Kilograms.

Now we have to find about how many times more mass does a giraffe have than an ant. Before carring out any comparision, we must make both units equal.

Like convert kilogram into gram or gram into kilogram.

I'm going to convert kilogram into gram using formula

1 Kg = 1000 g

So the average mass of a giraffe $= 2 \times 10^{3} *10^3$ grams.