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3 years ago

6

Juan wants to find the mode of the data set below.

1 answer:

MrMuchimi3 years ago

7 0

Answer:

A line plot shows all the numbers lined up and will easily show what the mode, or most occurring number is. A stem and leaf plot shows this, but is less clear and is more used for what numbers are.

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30% of the vehicles in a used car lot are trucks. 10% of the vehicles are green. 3% of the vehicles are green trucks. What is th

Kamila [148]

The answer would be A.) 0.1

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3 years ago

Read 2 more answers

marusya05 [52]

$\large\underline{\sf{Solution-}}$

We have to find out the value of the fraction.

<u>Let us assume that:</u>

$\sf \longmapsto x =2 + \dfrac{1}{2 + \dfrac{1}{2 + \dfrac{1}{2 + ... \infty} } }$

<u>We can also write it as:</u>

$\sf \longmapsto x =2 + \dfrac{1}{x}$

$\sf \longmapsto x =\dfrac{2x + 1}{x}$

$\sf \longmapsto {x}^{2} =2x + 1$

$\sf \longmapsto {x}^{2} - 2x - 1 = 0$

<u>Comparing </u>the given <u>equation</u> with <u>ax² + bx + c = 0,</u> we get:

$\sf \longmapsto\begin{cases} \sf a =1 \\ \sf b = - 2 \\ \sf c = - 1 \end{cases}$

<u>By quadratic formula:</u>

$\sf \longmapsto x = \dfrac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a}$

$\sf \longmapsto x = \dfrac{2 \pm \sqrt{ {( - 2)}^{2} - 4(1)( - 1)} }{2 \times 1}$

$\sf \longmapsto x = \dfrac{2 \pm \sqrt{4 + 4} }{2 \times 1}$

$\sf \longmapsto x = \dfrac{2 \pm \sqrt{8} }{2}$

$\sf \longmapsto x = \dfrac{2 \pm2 \sqrt{2} }{2}$

$\sf \longmapsto x = 1 \pm\sqrt{2}$

$\sf \longmapsto x = \begin{cases} \sf 1 + \sqrt{2} \\ \sf 1 - \sqrt{2} \end{cases}$

<u>But </u><u>"</u><u>x"</u><u> cannot be negative. Therefore:</u>

$\sf :\implies x = 1 + \sqrt{2}$

So, the value of the fraction is 1 + √2.

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3 years ago

M(-5, 2) and N(5, 2) are the endpoints of the segment MN on the coordinate plane. What is the length of ?

VikaD [51]

The line segment is 10 units long

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3 years ago

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Express your answer in scientific notation. 4.9\cdot 10^{5} - 5.8 \cdot 10^{4} =4.9⋅10 5 −5.8⋅10 4 =4, point, 9, dot, 10, start

tatyana61 [14]

Answer:

$4.32*10^{5}$

Step-by-step explanation:

Given the expression $4.9*10^{5}-5.8*10^{4}$ , to solve the expression, we need to write both scientific notation to the same power of 10.

$5.8*10^{4} is \ expressed\ as \ 0.58*10^{5}$

The expression above becomes $4.9*10^{5}-0.58*10^{5}$ . On taking the difference;

$4.9*10^{5}-0.58*10^{5}\\= (4.9-0.58)*10^{5} \\= 4.32*10^{5}$

The final expression gives the right answer

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3 years ago

What values of the variables highlighted would create an equation infinitely many solutions

Otrada [13]

A = -5
b = 2
I’m pretty sure

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3 years ago