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MAXImum [283]
3 years ago
11

Three students were given the expression shown to simplify. Use the drop-down menus to complete the statements about whether eac

h student's answer is an equivalent expression. Then choose an expression that is equivalent.
Mathematics
1 answer:
Mumz [18]3 years ago
5 0

Question is incomplete, here is the complete question below:

Three students were given the expression shown and were asked to take a common factor out of two of the terms.

Use the drop-down menus to complete the statements about whether each student's answer is an equivalent expression. Then choose an expression that is equivalent.

7-8x+22

Calvin: 7−2(4x+11)

Calvin's expression is (correct/incorrect) because .............

Greg: 7+14x

Greg's expression is (correct/incorrect) because ............

Ruben: 7+2(4x+11)

Ruben's expression is (correct/incorrect) because .

Equivalent Expression

The correct simplification of this expression is ...............

Answer:

The correct simplification of this expression is 7-2(4x-11)

Step-by-step explanation:

Calvin: 7−2(4x+11)

Calvin's expression is incorrect because if -2 is taken as common term then sign (+) should also be changed to (-)

i.e. 7−2(4x+11)  produces 7-8x-22 which is not equivalent to 7-8x+22

Greg: 7+14x

Greg's expression is incorrect because  7+14x  is not equivalent to 7-8x+22

Ruben: 7+2(4x+11)

Ruben's expression is incorrect because  7+2(4x+11) =7+8x+22 which is not equivalent to 7-8x+22

Equivalent Expression  is 7-2(4x-11)

The correct simplification of this expression is 7-2(4x-11)

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Answer:

a) The 99% confidence interval is from 14.8% to 23.2%.

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c) The confidence interval calculation take into account the sample size, so the width (or precision) of the interval depends on the sample size.

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The picture below will help you.

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