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Jobisdone [24]
3 years ago
13

Use the table to determine whether the relationship is proportional. If so, write an equation for the relationship. Tell what ea

ch variable you used represents.
HELP I ALREADY PUT THREE QUESTIONS ABT THIS NONE GOT ANSWERED

Mathematics
1 answer:
Rudik [331]3 years ago
8 0

Answer:

3 is not 4 is proportional

Step-by-step explanation:

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At a school with 100? students, 33 were taking? Arabic, 32 ?Bulgarian, and 40 Chinese. 9 students take only? Arabic, 12 take onl
Stels [109]

Answer: The answer is 4 and 32.

Step-by-step explanation: Let "A", "B" and "C" represents the set of students who were taking Arabic, Bulgarian and Chinese respectively.

The, according to the given information, we have

n(A)=33,~~n(B)=32,~~n(C)=40,~~n(A\cap B)=14.

Let 'p' represents the number of students who take all the three languages, then

n(A\cap B\cap C)=p.

Also,

n(A)-n(A\cap B)-n(A\cap C)+n(A\cap B\cap C)=9\\\\\Rightarrow n(A\cap B)+n(A\cap C)=24+p~~~~~~~~~~~~~~(a),\\\\n(A\cap B)+n(B\cap C)=20+p~~~~~~~~~~~~~~(b),\\\\n(B\cap C)+n(A\cap C)=20+p~~~~~~~~~~~~~~~(c).

From here, we get after subtracting equation(c) from (b) that

n(A\cap B)=n(A\cap C)=14.

Therefore,

p=14+14-24=4, and from equation (a), we find

n(B\cap C)=24-14=10.

Thus,

n(A\cap B\cap C)=4 and

n(A\cup B\cup C)=n(A)+n(B)+n(C)-n(A\cap B)-n(B\cap C)-n(A\cap C)+n(A\cap B\cap C)\\\\\Rightarrow n(A\cap B\cap C)=33+32+40-9-12-20+4\\\\\Rightarrow n(A\cap B\cap C)=68.

Thus, the number of students who take all the three languages is 4 and the number of students who take none of the languages is 100-68 = 32.

5 0
3 years ago
Dwayne has $40 in a savings account that earns
kvasek [131]

Answer:

He'll have $42.

Step-by-step explanation:

5% annually means that he'll have 5% more in his account after one year. That's exactly what the question asks.

So it's just a matter of adding 5% to $40.

$40 + ($40 * 0.05) = $40 + $2 = $42

5 0
4 years ago
S641591 is a hacker don’t trust em
horrorfan [7]

Answer:

welp ok

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Solve.
timofeeve [1]
M = 14 3/5 is the answer
4 0
3 years ago
Given the following signal:  x(n) = {4, −1, 2, 5, − 2, 3}  Compute the 6-point DFT of x(n) directly from the DFT equation  −
FrozenT [24]

Answer:

Computing the 6-Point DFT of x(n), where X = 0,1,2,3,4,5

x(0) = 11

x(1) = 21/8 -j13/8

x(2) = 27/8 + j33/32

x(3) = 1139/256 + j91/256

x(4) = 4389/1024

x(5) = 4.14685 - j1379/8192

Step-by-step explanation:

See the picture for workings.

Given X(n) = { 4, -1, 2, 5, -2, 3}

Six point DFT implies that N = 6

Step 1 = write out equation X(k)

Step 2 = substitute "Wn" in the equation X(k) to give a new equation

Step 3 = when N=6, substitute for "N" in the new equation and simplify the new X(k) equation.

Step 4 = use 0, 1, 2, 3, 4, 5 in finding the DFT

4 0
3 years ago
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