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Bond [772]
3 years ago
8

7. Make a box-and-whisker plot for the data. What is the upper quartile value?

Mathematics
1 answer:
Nookie1986 [14]3 years ago
6 0

In order to draw the Box-whisker plot, we need to rewrite the data in increasing order.

42 43 47 48 51 52 56 56 58 60 62 64 65 66

Mean of the data = (42 + 43 + 47 + 48 + 51 + 52 + 56 + 56 + 58 + 60 + 62 + 64

+ 65 + 66) ÷ 14

Mean of the data = 770 ÷ 14

Mean of the data = 55

Median = (56 + 56) ÷ 2

Median = 112 ÷ 2

Median = 56

Lowest value = 42

Highest value = 66

Range = Highest value - Highest value

Range = 66 - 42

Range = 24

Lower Quartile = 25% of the data

Lower Quartile = 48

Upper Quartile = 75% of the data

Upper Quartile = 62

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3 years ago
Read 2 more answers
C=0.04x^2-8.504x+25302 how do i do this?
erma4kov [3.2K]
Solving for x.

Since x<span> is on the right-hand side of the </span>equation<span>, switch the sides so it is on the left-hand side of the </span>equation<span>.
</span><span>0.04<span>x2</span>−8.504x+25302=c

</span>Simplify the quadratic and set<span> the right side equal to </span><span>0.
</span><span>0.04<span>x2</span>−8.504x+25302−c=0

</span>Use the standard form of the quadratic <span>(<span><span>a<span>x2</span>+bx+c</span>)</span></span><span> to find </span><span>a,</span><span>b,</span><span> and </span>c<span> for this quadratic.
</span><span>a=0.04,</span><span>b=−8.504,</span><span>c=25302−1c

</span>Use the quadratic formula<span> to find the </span>solutions<span>.
</span><span>x=<span>−b ± </span></span>√<span><span> <span><span>b2</span>−4ac /</span> </span><span>2a

</span></span>Substitute in the values of <span><span>a=0.04</span>,</span><span><span>b=−8.504</span>,</span><span> and </span><span><span>c=25302−1c</span>.
</span>x=<span>−(−8.504) ±</span>√<span><span>(−8.504<span>)2</span>−4(0.04)(25302−1c)/</span><span>2(0.04)
</span></span>
<span>Simplify.
</span>x=<span>8.504 ±</span>√<span><span>(−8.504<span>)2</span>−4(0.04)(25302−1c)/</span><span>2(0.04)
</span></span>
Simplify the section inside the radical<span>.
</span>x=<span>8.504 ± </span>√<span><span><span>−3976.001984+0.16c</span>/</span><span>2(0.04)
</span></span>
Simplify the denominator<span> of the </span>quadratic formula<span>.
</span>x=<span>8.504 ±</span>√<span><span>−3976.001984+0.16c/</span>0.08
</span>

Answer:
x=8.504 ±√−3976.001984+0.16c/0.08


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