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3 years ago

15

A cooler contains 5 bottles of lemonade, 4 bottles of water , and 3 bottles of juice. Each type is equally likely to be chosen.

Based on your simulation, how many times must a drink be chosen in order to get each type ? ( please help me )

1 answer:

rodikova [14]3 years ago

6 0

I mean... in order to try each one you need to try it atleast once so.. 1 might be your answer

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A. Show that the vector v = ai + bj is perpendicular to the line ax + by = c by establishing that the slope of v is the negative

pishuonlain [190]

Answer:

Part A:

$m_1m_2=-1$

$\frac{b}{a}(\frac{-a}{b})=-1\\-1=-1$

Hence proved that Vector= ai + bj is perpendicular to the line ax + by = c.

Part B:

Slope of vector = $\frac{b}{a}$

Step-by-step explanation:

Condition for perpendicular is:

$m_1m_2=-1$

Part A:

Consider the vector v = ai + bj

x component of vector=a

y component of vector=b

Slope of vector= $m_1=\frac{y}{x}=\frac{b}{a}$

Consider the line ax + by = c:

Rearranging the equation:

ax+by=c

by=c-ax

y= $\frac{-ax}{b}+\frac{c}{b}$

According to general equation of line: $y=mx+c$

Where m is the slope

In our case the slope of above line is:

$m_2=\frac{-a}{b}$

According to the condition of perpendicular:

$m_1m_2=-1$

$\frac{b}{a}(\frac{-a}{b})=-1\\-1=-1$

Hence proved that Vector= ai + bj is perpendicular to the line ax + by = c.

Part B:

Slope of vector is also calculated above.

Since the slope of vector is negative reciprocal of the slope of the given line:

According to equation of line ax + by = c

y= $\frac{-ax}{b}+\frac{c}{b}$

According to general equation of line: $y=mx+c$

Where m is the slope

Slope of given line=m= $\frac{-a}{b}$

negative reciprocal of the slope of the given line = $\frac{b}{a}$

Slope of vector = $\frac{b}{a}$

5 0

3 years ago

Need help lol. last day to turn this in and failing by 1 point please help

xz_007 [3.2K]

M1=35°
m2=65°
m3=29°
m4=115°
m5=65°
m6=36°
m7=144°

8 0

3 years ago

Find the value of x and the measure of each angle in the parallelogram

Morgarella [4.7K]

Answer:

$\angle D= 162\\\\\angle E = 18\\\\\angle F = 162\\\\\angle G = 18$

Step-by-step explanation:

By properties of parallelograms we know that opposite are the same so we have

$12x=4(x+3)\\\\4(3x)=4(x+3)\\\\3x=x+3\\\\2x=3\\\\x=\frac{3}{2}$

so for the angles we have

$\angle G=\angle E=12(\frac{3}{2})=18\\\\\angle D=\angle F = 180-\angle G=180-18=162$

5 0

3 years ago

15+5n+-5n-5-on<br><br> NEED HELP!

Sliva [168]

Answer:

10

Step-by-step explanation:

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3 years ago

Read 2 more answers

Lucia deposits $44.60 into her bank account on Tuesday Morning. Tuesday afternoon, she withdraws to $26.30 and $21.30. Does Luis

dexar [7]

Answer:

Less than

Step-by-step explanation:

Using the data from the question, we can create the following equation to solve this...

44.60 - (26.30 + 21.30) = x

44.60 - (47.60) = x

-3 = x

As you can see Lucia withdrew more money than what she actually deposited which means that her account balance on Tuesday Night is less than what it was on Monday night before the initial deposit. This can all be seen using the above equation which is designed.

8 0

3 years ago