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Vitek1552 [10]
2 years ago
15

6. Middle school class representatives conducted a poll during lunch to see which activity students wanted for their year-end pa

rty. The results are shown in this relative frequency table:
a) For the entire school, which was more popular, water slides or roller skating? (1 point)


b) 34% of the 6th graders and 50% of the 7th graders want to go to the water slides. What percentage of the 8th graders want to go to the water slides? (1 point)



c) Does there seem to an association between grade level and field trip choice? (2 points)





d) If this trend continued, would you expect 9th graders to prefer the water slides or roller skating? Explain your answer. (2 points)

Mathematics
1 answer:
Tanya [424]2 years ago
8 0

Answer:

a) roller skating is 54 percent.....slides is only 46 percent

b) 8 th graders who want water slide = .14 / ( .14 + .06) = 70 percent

c) yes   higher grade, higher want water slide

d) water slides  ( see answer c )

Step-by-step explanation:

Hope this helps! (:

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Divide each side by '6'.

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If Vector u=(5,-7) and v=(-11,3), 2v-6u=_____ and ||2v-6u||≈_____
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<h2>Answer:</h2>

2\vec{v}-6\vec{u}=(-52,48) \\ \\ ||2\vec{v}-6\vec{u}||=75.28}

<h2>Step-by-step explanation:</h2>

In this problem we have two vectors:

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So we need to find two things:

2\vec{v}-6\vec{u}

and:

||2\vec{v}-6\vec{u}||

FIRST:

In this case we have the multiplication of vectors by scalars. A scalar is a simple number, so:

2\vec{v}-6\vec{u} \\ \\ Replace \ \vec{v} \ and \ \vec{u} \ by \ the \ given \ vectors: \\ \\ 2(-11,3)-6(5,-7) \\ \\ Multiply \ each \ component \ by \ the \ corresponding \ scalar:\\ \\ (2\times (-11),2\times 3)+(-6\times 5,-6\times (-7)) \\ \\ (-22,6)+(-30,42) \\ \\ Sum \ of \ vectors: \\ \\ (-22-30,6+42) \\ \\ \therefore \boxed{(-52,48)}

SECOND:

If we name:

\vec{w}=2\vec{v}-6\vec{u}

Then, ||2\vec{v}-6\vec{u}|| is the magnitude of the vector \vec{w}. Therefore:

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