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Nikolay
3 months ago
15

1. Pada pertandingan sepak bola yang dilaksanakan sebanyak 20 kali, ternyata Tim Indonesia menang 12 kali, seri 6 kali dan kalah

2 kali. Berapakah peluang Tim Indonesia akan menang?
Mathematics
1 answer:
zzz [12.3K]3 months ago
7 0

Jawaban:

n(menang) = 6

n(seluruh) = 20

P(menang) = n(menang)/n(seluruh) = 6/20 = 3/10 atau 0,3 atau 30%

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The graphs below have the same shape. What is the equation of the blue graph?
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Answer: OPTION B

Step-by-step explanation:

The red graph depicts the fundamental form of a quadratic function (the most basic version), with its vertex located at the origin.

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As a consequence, considering this, the transformation takes the following structure:

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The horizontal displacement is dictated by the value of h, while the vertical shift is determined by k.

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3 months ago
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Tim was given a large bag of sweets and ate one third of the sweets before stopping as he was feeling sick. The next day he ate
Leona [12618]

Answer: Initially, he had 27 sweets.

Step-by-step explanation: The most logical approach is to work backwards from what remained after the third day to the start of the first day.

On the third day, he consumed one-third of his sweets and was left with 8. If we let the total sweets on day three be denoted as a, then one-third of a equals what he ate and the two-thirds left equals 8, giving us:

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By cross-multiplying, we find:

8 x 3 = 2a

Therefore, 24 = 2a

This leads to a = 12.

Let the sweets on day two be represented as b. If he consumed one-third of b and was left with 12, we have the same structure; hence:

12/b = 2/3

Cross-multiplying gives:

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So, 36 = 2b, leading to b = 18.

Denote the number of sweets on day one as x. If one-third of x was eaten and 18 remained, we can set up the equation:

18/x = 2/3

Again, cross-multiplying results in:

18 x 3 = 2x

Which simplifies to 54 = 2x, yielding x = 27.

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3 months ago
Which expression is equivalent to (StartFraction 4 m n Over m Superscript negative 2 Baseline n Superscript 6 Baseline EndFracti
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Question

Which expression is equivalent to \frac{4mn}{m^{-2}n^6}. Assuming m \neq 0; n\neq 0

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Step-by-step explanation:

Given

\frac{4mn}{m^{-2}n^6}

Required:

Simplify

To achieve simplification, we begin by dividing each function individually

\frac{4mn}{m^{-2}n^6} = \frac{4m}{m^{-2}} * \frac{n}{n^6}

According to the properties of indices

\frac{a^x}{a^y} = a^{x-y}

Thus, the aforementioned expression can be restated similarly

\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{1-(-2)} * n^{1-6}

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\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{3} * \frac{1}{n^5}

\frac{4m}{m^{-2}} * \frac{n}{n^6} = \frac{4m^3}{n^5}

Therefore, \frac{4mn}{m^{-2}n^6} can be regarded as \frac{4m^3}{n^5}

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