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True [87]
2 years ago
5

Calculating the relative frequencies from the data given in the table. choose all that correctly describe an association between

favorite subject and grade.
a higher percentage of 8th graders than 7th graders prefer history.
a higher percentage of 7th graders than 8th graders prefer english.
a higher percentage of 8th graders than 7th graders prefer math/science.
Mathematics
1 answer:
adoni [48]2 years ago
6 0

Answer:

a higher percentage of 8th graders than 7th graders prefer history.

a higher percentage of 8th graders than 7th graders prefer math/science.

Step-by-step explanation:

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PLEASE HURRY 50 POINTS Answer Both parts and I will reward Brainliest
vlabodo [156]

We have:

a_1=-3

and:

r=4

so:

$\sum\limits_{n=2}^5\,-3\cdot4^{n-1}=\sum\limits_{n=1}^5\,-3\cdot4^{n-1}-a_1=S_5-a_1=\frac{-3-(-3)\cdot 4^5}{1-4}-(-3)=

=\dfrac{-3-(-3)\cdot 1024}{-3}+3=\dfrac{-3(1-1024)}{-3}+3=1-1024+3=\boxed{-1020}

It is a finite sum, so it is convergent.

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3 years ago
Find the ratio in which the line joining the points (2, 4, 16) and (3, 5, -4) is divided by the plane 2x – 3y+ z+ 6 = 0. Also fi
Nastasia [14]

Answer:

Step-by-step explanation:

let the plane intersects the join of points in the ratio k:1

let (x,y,z) be the point of intersection.

x=\frac{3k+2}{k+1} \\y=\frac{5k+4}{k+1} \\z=\frac{-4k+16}{k+1} \\\because ~(x,y,z)~lies~on~the~plane.\\2(\frac{3k+2}{k+1} )-3(\frac{5k+4}{k+1} )+\frac{-4k+16}{k+1} +6=0\\multiply~by~k+1\\2(3k+2)-3(5k+4)+(-4k+16)+6(k+1)=0\\6k+4-15k-12-4k+16+6k+6=0\\-7k+14=0\\k=2\\x=\frac{3*2+2}{2+1} =\frac{8}{3} \\y=\frac{5*2+4}{2+1}=  \frac{14}{3} \\z=\frac{-4*2+16}{2+1} =\frac{8}{3}

point of intersection is (8/3,14/3,8/3)

and ratio of division is 2:1

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3 years ago
Oliver works at a bookstore.He packed 20 identical paperbacks and 9 identical textbooks in a box. The total mass of the books wa
olchik [2.2K]
If we let p and t be the masses of the paper and textbook, respectively, the equations that would best represent the given in this item are:
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3 years ago
Can anyone tell me if these answers are right?
k0ka [10]

Answer:

Ummm. 1 & 3 look good double check 2

Step-by-step explanation:

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