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Aleks [24]
2 years ago
5

Kirti knows the following information from a study on cold medicine that included 60 participants: 30 participants in total rece

ived cold medicine. 26 participants in total had a cold that lasted longer than 7 days. 14 participants received cold medicine but had a cold that lasted longer than 7 days. Can you help Kirti organize the results into a two-way frequency table?

Mathematics
1 answer:
GalinKa [24]2 years ago
4 0
The frequency table is attached.

Since there were 30 people out of the 60 that received cold medicine, that means that 60-30=30 people did not.

Since 26 people had a cold longer than 7 days, this means 60-26=34 had a cold that was less than or equal to 7 days.

14 people had a cold longer than 7 days and received medicine; this means that 26-14=12 people had a cold longer than 7 days and did not receive medicine.

30-14=16 people received medicine and had a cold less than or equal to 7 days.

30-12=18 people did not receive medicine and had a cold less than or equal to 7 days.

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4 0
2 years ago
a movie theater has 14 different movies showing. If you want to attend no more than 3 of the movies, how many different combinat
zvonat [6]
14C3 = 14! / 11!3! 

<span>= 14 x13 x12 / 3x2x1 </span>
<span>= 2184 / 6 </span>
<span>= 364 different combinations </span>

<span>The first movie can be any of 14 </span>
<span>As you have already seen one the second movie can be any of the 13 remaining </span>
<span>As you have already seen two the third movie can be any of the 12 remaining. </span>

<span>Therefore there are 14 x 13 x 12 = 2184 PERMUTATIONS of movies you can see. </span>
<span>However among those 2184 different permutations will be instances where you have watched the same three movies but just in a different order. </span>
<span>eg ET, The Piano, Harry Potter = ET Harry Potter The Piano = The Piano, ET, Harry Potter = The Piano Harry Potter ET = Harry Potter ET The Piano = Harry Potter The Piano ET. </span>
<span>For each set of three films there are 3! or 3x2x1 or SIX different ways they can be arranged in. </span>
<span>Therefore we need to DIVIDE the above 2184 permutations by 6 to get the number of COMBINATIONS of different films that can be watched. </span>
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5 0
1 year ago
Melissa wants to make a table representing the area of her vegetable garden for a variety of different lengths of the tomato pat
Ksenya-84 [330]

Answer:

\begin{array}{cc}Length \ of \ Tomato \ Patch \ (in \ feet)&Area \ of \ Vegetable \ Garden \ (in  \ square \ feet)\\\ [6.25]&338\\6.5&[242.625]\\  \ [6.75]&147.25\\7&[51.875]\end{array}

Step-by-step explanation:

The date from the given table, is expressed as follows;

Area of Vegetable Garden (in square feet); 338, ___, 147.25, ___

Length of Tomato Patch (in feet); ___, 6.5, ___, 7

The length of the tomato patch increases with decrease in the area of the garden

Given that the length of the tomato patch is the independent variable, we can have;

Length of Tomato Patch (in feet); 6.25, 6.5, 6.75, 7

Therefore, for an increase in the length of the tomato patch from 6.25 to 6.75, (a change of Δl = 0.5) the area of the vegetable garden decreased from 338 to 147.25 which is a decrease of ΔA = 190.75

Therefore, the width of the tomato patch, w = ΔA/Δl = 190.75/0.5 = 381.5

The width of the tomato patch, w = 381.5 ft.

The relationship between the total area, TA, the area of the vegetable garden, <em>A</em>, and the length of the tomato patch, <em>l</em>, is therefore, given as follows;

A = TA - 381.5·l

338 = TA - 381.5×6.25

TA = 338 + 381.5×6.25 = 2,722.375

Therefore, when l = 6.5, we get

A = 2,722.375 - 381.5×6.5 = 242.625

When l = 7, we get

A = 2,722.375 - 381.5×7 = 51.875

Therefore, we get;

\begin{array}{cc}Length \ of \ Tomato \ Patch \ (in \ feet)&Area \ of \ Vegetable \ Garden \ (in  \ square \ feet)\\\ [6.25]&338\\6.5&[242.625]\\  \ [6.75]&147.25\\7&[51.875]\end{array}

5 0
1 year ago
*will mark brainliest*
laiz [17]
<span>7x-6y=14
6x-y=-17
x = -4  y = -7 (SOLUTION) ; in ordered pair form (x,y) = (-4,-7)

</span><span>3x+8y=16
-9x-24y=-48
INFINITE SOLUTIONS: general form = (x,y) = ( x, -(3x/8)+2 )


Edited later:
</span>7x-6y=14
6x-y=-17
From second equation 6x - y = -17, we have y = 6x +17. Substitute this in the first equation to get
7x-6y=14
>> 7x-6(6x+17)=14
>> 7x-36x-102=14
>> 7x-36x=102+14
>> -29x=116
>> x=116/(-29)
>> x=-4

Now plug this value in y = 6x +17, to get
y = 6(-4) + 17 = -24 +17 = -7

So x = -4, y = -7 is the solution.
5 0
2 years ago
If a = 0.6 repeating and b = 0.75, then a x b = blank and a/b = blank
atroni [7]

Answer:

a*b = 1/2

a/ b = 8/9

Step-by-step explanation:

a = 0.66666  and b = 0.75

To multiply it we write the decimal numbers in fraction form

a= 0.666666...

Multiply by 10 on both sides

10 a = 6.66666...

    a = 0.66666...

Subtract the second equation

9a = 6

divide by 9 on both sides

a=\frac{6}{9}=\frac{2}{3}

so 0.6666 = 2/3

Now we convert 0.75 into fraction form

0.75=\frac{0.75}{1}

Multiply top and bottom by 100 to remove decimal

\frac{75}{100} = \frac{3}{4}

so 0.75 is 3/4

a= 2/3  and b = 3/4

a*b = \frac{2}{3} * \frac{3}{4} = \frac{6}{12} = \frac{1}{2}

\frac{a}{b} = \frac{\frac{2}{3}}{\frac{3}{4}} = \frac{2}{3} * \frac{4}{3} =\frac{8}{9}


8 0
2 years ago
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