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forsale [732]
3 years ago
14

Which of the following obtains data from a subset of a population to evaluate traits of the population?

Mathematics
1 answer:
andrey2020 [161]3 years ago
4 0
Is A across sectial survey
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Write two linear expressions that have a sum of 3x-8
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1. (5x + 2 )
2. ( -2x -10 ) 
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-10=-14v+14? Not sure
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Given: ∠AOC, ∠BOC - complementary angles
34kurt

Answer:

  • 30
  • COB . . . . or . . . . BOC

Step-by-step explanation:

The reason given on the line of interest is "substitution," so the problem boils down to determining what was substituted for what. The previous statement says ...

  AOC + COB = 90

and the first part of the statement we're to complete has BOC + ___.

We see from the given statements that m∠AOC = m∠BOC + 30°, so it appears that is the substitution that has been made: AOC has been replaced by BOC + 30.

This means the first blank is filled with 30.

__

The second part of the previous statement is ...

  AOC + COB = 90

so we believe this (COB) should go in the second blank.

__

Then the line of interest would read ...

  BOC + 30 + COB = 90

_____

<em>Comment on the problem</em>

There is a curious mix of notations here. Usually, (as in the beginning of this problem) we refer to the measure of an angle using "m∠" in front of the angle designator, and we use a degree symbol to indicate the units of that measure. Part-way through the problem statement written here, those notations were dropped, and we're to assume they are intended. IMO, this is a poor way to demonstrate careful problem solving.

The substitution given for AOC is BOC+30, but the line into which that is substituted has AOC +COB = 90. This means the equation after substitution is ...

  BOC +30 +COB = 90

Since BOC and COB are the same angle, we can sort of fudge the "algebra" to get to  BOC=30, but if the problem were more carefully written, the angle would be referred to by consistent nomenclature:

  m∠AOC + m∠BOC = 90° . . . . . . . . . preferred angle designations

  (m∠BOC + 30°) + m∠BOC = 90° . . . . substitution for m∠AOC

  2(m∠BOC) = 60° . . . . . . algebra (subtract 30°, collect terms)

  m∠BOC = 30° . . . . . . . . algebra (divide by 2)

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3 years ago
How much sale tax would be charged on $450 worth of merchandise if the sales tax rate is 8 3/4%?What is the final cost?
kotykmax [81]
Tax of $39.38
Total = $489.38
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You spent $175 on a pair of shoes and three shirts. Each shirt cost the same amount. The shoes cost four times the amount of one
sergey [27]

Step-by-step explanation:

1. making the equation:

shoes = x

shirts = y

175 = x + 3y

x = 4y

2. graph it (I'm using desmos)

the green line is for 175 = x + 3y and the purple one is for x = 4y

3. find the price

x = 4y

175 = 4y + 3y

175 = 7y

y = 175/7 = $25

price of the shirt = $25

x = 4y = 4*25 = $100

price of a pair of shoes = $100

5 0
3 years ago
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