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2 years ago

How many solutions does this equation have? 6x+5=4x+5

Mathematics

1 answer:

Travka [436]2 years ago

3 0

$:\implies \sf 6x +5 = 4x +5$

$: \implies \sf 6x +5 -4x = 5$

$:\implies \sf 2x = 5-5$

$:\implies \sf 2x = 0$

$:\implies \sf x = 0$

Seems like "6x+5=4x+5" has only one solution that's 0.

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3 years ago

What is quartile 1 (Q1)quartile 3 (Q3) and the IQR? Answer all three parts . 13, 23, 24, 25, 26, 26, 37, 47, 47, 48, 50

Fittoniya [83]

Answer:

Quartile 1 (Q1) = 24

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Step-by-step explanation:

Given:

The set of data are:

13, 23, 24, 25, 26, 26, 37, 47, 47, 48, 50

The data are in increasing order. The number terms are, $n = 11$ .

Therefore, the middle term = $\frac{n+1}{2}=\frac{11+1}{2}=6^{th}\ term$

So, the median = 26

Now, the median divides the set of data into two parts. The median of first part is the quartile 1 and the median of second part is quartile 2.

So, the first part has the following terms:

13, 23, 24, 25, 26

Here also, $n=5$ . So, the third term is the median.

∴ Q1 = 24

The second part has the following terms:

37, 47, 47, 48, 50

Here also, $n=5$ . So, the third term is the median.

∴ Q2 = 47.

Now, IQR = Q2 - Q1 = 47 - 24 = 23.

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3 years ago