Please help me ( show ur work it’s multiple choice ):)

Dvinal [7]

4x-1=11-2x
6x=13
$x = \frac{13}{6}$

6 0

3 years ago

A random sample of 401 student were recent survey regarding their class standing freshmen software junior senior and their major

SOVA2 [1]

the Solution

$Pr(\text{STEM)}=\frac{158}{401}=0.394$ $Pr(\text{Sophomore)}=\frac{87}{401}=0.217$ $Pr(sophomore|Non-stem)=\frac{68}{401}=0.170$ $Pr(\text{sophomore and Non-stem)=}\frac{87}{401}\times\frac{243}{401}=\frac{21141}{160801}=0.1315$

To ascertain whether Sophomore and Non-stem are dependent, we have to test the following:

$\begin{gathered} If\text{ Pr(sophomore or Non-stem) = Pr(sophomore and Non-stem),} \\ \text{then we conclude that both events are Independent,} \\ \text{otherwise, they are dependent.} \end{gathered}$ $\begin{gathered} Pr(\text{sophomore or Non-stem)=Pr(sophomore)+Pr(Non-stem)} \\ -Pr(\text{sophomore and Non-stem)} \end{gathered}$ $Pr(\text{Sophomore or Non-stem)=}\frac{87}{401}+\frac{243}{401}-(\frac{87}{401}\times\frac{234}{401})$ $=\frac{330}{401}-\frac{21141}{160801}=0.82294-0.13147=0.69147$

Cleary, we have that sophomore and non-stem events are dependent events since 0.69147 is not the same as 0.13147.

4 0

1 year ago

What is the equation of a line that is parallel to the line with the equation y=2/3x+2 and passes threw the point 1,-1

Lilit [14]

The equation of line parallel to given line is: $y = \frac{2}{3}x-\frac{5}{3}$

Step-by-step explanation:

Given equation of line is:

$y = \frac{2}{3}x+2$

As the line is in slope-intercept form, the co-efficient of x is the slope of the line

So,

$m_1 =\frac{2}{3}$

Let m2 be the slope of required line

As both the lines are parallel,

$m_1 = m_2$

So,

$m_2 = \frac{2}{3}$

The slope intercept form of line is:

$y = mx+b$

Putting the value of the slope

$y = \frac{2}{3}x+b$

To find the value of b, putting (1,-1) in the equation

$-1 = \frac{2}{3}(1) +b\\-1 = \frac{2}{3} +b\\b = -1-\frac{2}{3}\\b = \frac{-3-2}{3}\\b = \frac{-5}{3}$

Putting b=-5/3 in the equation

$y = \frac{2}{3}x-\frac{5}{3}$

Hence,

The equation of line parallel to given line is: $y = \frac{2}{3}x-\frac{5}{3}$

Keywords: Equation of line, slope

Learn more about equation of line at:

#LearnwithBrainly

5 0

3 years ago

−4x + 15= -13<br> what is x?

skelet666 [1.2K]

$-4x+15=-13 \ \ \ |-15 \\ \\ -4x=-28 \ \ \ |:(-4) \\ \\ x=7$

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4 0

3 years ago

Read 2 more answers

Find the equation of the line that passes through (-5,4) and (1,1)

pav-90 [236]

The equation is y = -3/6x + 3/2

5 0

3 years ago