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Minchanka [31]
3 years ago
15

The scores of 10 students on history test are 85, 79, 65, 72, 86, 66, 90, 98, 78, and 76 which box plot represents the given dat

a
Mathematics
1 answer:
netineya [11]3 years ago
7 0

Answer:

Step-by-step explanation:

65, 66, 72, 76, 78, 79, 85, 86, 90, 98

Q1 = 72

Q2 (median) = (78 + 79) / 2 = 78.5

Q3 = 86

min = 65

max = 98

so ur box plot is gonna look like this :

the box will start at 72 and end at 86......there sill be a line drawn vertically thru the box at 78.5. U will have arrows coming out of both ends of ur box....the one going left will stop at 65 and the one going right will stop at 98.

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6x - 4y = 30
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answer : perpendicular line will have a slope of -2/3.
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Answer:

\rm\displaystyle  0,\pm\pi

Step-by-step explanation:

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===========================

we want to find all possible values of α+β+γ when <u>tanα+tanβ+tanγ = tanαtanβtanγ</u><u> </u>to do so we can use algebra and trigonometric skills first

cancel tanγ from both sides which yields:

\rm\displaystyle  \tan( \alpha )  +  \tan( \beta ) =  \tan( \alpha )  \tan( \beta )  \tan( \gamma )  -  \tan( \gamma )

factor out tanγ:

\rm\displaystyle  \tan( \alpha )  +  \tan( \beta ) =   \tan( \gamma ) (\tan( \alpha )  \tan( \beta ) -  1)

divide both sides by tanαtanβ-1 and that yields:

\rm\displaystyle   \tan( \gamma ) =  \frac{ \tan( \alpha )  +  \tan( \beta ) }{ \tan( \alpha )  \tan( \beta )    - 1}

multiply both numerator and denominator by-1 which yields:

\rm\displaystyle   \tan( \gamma ) =   -  \bigg(\frac{ \tan( \alpha )  +  \tan( \beta ) }{ 1 - \tan( \alpha )  \tan( \beta )   } \bigg)

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\rm\displaystyle   \tan( \gamma ) =   -  \tan( t)

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