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Irina18 [472]
3 years ago
8

What is the probability of choosing an outfit from a green shirt,blue shirtor a red shirt,and a black short or blue pants?What i

s the probability of choosing a vowel from the word counting and a consanant from the word prime.​
Mathematics
1 answer:
amid [387]3 years ago
7 0
Don’t understand what your asking in the first one. Choosing a vowel out of the word counting would be 3/8. And picking a consonant out of the word prime would be 3/5.
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These two triangles can be shown to be congruent using which transformation?
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Answer:

This is B) A reflection over the y-axis.

Step-by-step explanation:

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Round 913610 to the nearest ten
Marizza181 [45]

The next bigger ten is 913,620 .
The next smaller ten is  913,600.

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913,610 is already written to the nearest ten.

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4 years ago
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−5/8+3/4 equals what, In fraction form.
kipiarov [429]

How to get answer by Mimiwhatsup (In Decimal Form):

-5/8+3/4\\\mathrm{Divide\:the\:numbers:}\:5\div \:8=0.625\\=-0.625+3\div \:4\\\mathrm{Divide\:the\:numbers:}\:3\div \:4=0.75\\=-0.625+0.75\\\mathrm{Add/Subtract\:the\:numbers:}\:-0.625+0.75=0.125\\=0.125

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7 0
3 years ago
Prove that for any natural n the number 3^(n+4)−3^n is divisible by 16.
gtnhenbr [62]

Answer:

Proved (See Explanation)

Step-by-step explanation:

Show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.

This is done as follows

\frac{3^{n+4} - 3^n}{16}

From laws of indices;

aᵐ⁺ⁿ = aᵐ * aⁿ.

So, 3ⁿ⁺⁴ can be written as 3ⁿ * 3⁴.

\frac{3^{n+4} - 3^n}{16} becomes

\frac{3^n * 3^4 - 3^n}{16}

Factorize

\frac{3^n(3^4 - 1)}{16}

\frac{3^n(81 - 1)}{16}

\frac{3^n(80)}{16}

3ⁿ * 5

5(3ⁿ)

<em>The expression can not be further simplified.</em>

<em>However, we can conclude that when 3ⁿ⁺⁴ - 3ⁿ is divisible by 16, because 5(3ⁿ) is a natural whole number as long as n is a natural whole number.</em>

3 0
3 years ago
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