For a statistics project, Lauren distributed a questionnaire and asked her classmates to fill it out. 2 of them did.

Mathematics

1 answer:

timama [110]2 years ago

8 0

No, because only a minority of the students answered it.

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Which ordered pair is a solution of the equation?

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A only (2,3)

Step-by-step explanation:

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2 years ago

Hey! Can someone check my answers?

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Q1. The answer is <span>A. 5y^6
</span>
$20 y^{9} +5 y^{6}= 4*5 y^{9}+5 y^{6}$
Since $x^{a}* x^{b} =x^{a+b}$ , then $x^{9}= x^{3}* x^{6}$

Back to our expression:
$4*5 y^{9}+5 y^{6}=4*5 y^{3}*y^{6}+5 y^{6}=4 y^{3}*5y ^{6}+ 5y ^{6}*1=5 y^{6} (4y ^{3} +1)$
The greatest common factor is thus $5 y^{6}$

Q2. The answer is <span>D. 12xy^2
</span>
$12x y^{5}+60 x^{4} y^{2} -24 x^{3} y^{3}=12x y^{5}+5*12 x^{4} y^{2} -2*12 x^{3} y^{3}$
We will use the rule $x^{a}* x^{b} =x^{a+b}$ to factorise the exponents:
$12x y^{5}+5*12 x^{4} y^{2} -2*12 x^{3} y^{3}= \\ =12x*y^{2}*y^{3}+5*12*x* x^{3} *y^{2}-2*12x* x^{2} *y*y^{2}= \\ =12xy^{2}*y^{3}+12xy^{2}*5 x^{3} -12xy^{2}*2 x^{2} y= \\ =12xy^{2}(y^{3}+5 x^{3}-2 x^{2} y)$
The greatest common factor is thus $12xy^{2}$

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2 years ago

Oliver took a math quiz last week. There were 25 problems on the quiz and Oliver answered 80% of them correctly. How many proble

aleksandr82 [10.1K]

Answer:

He answered 20 questions correctly.

Step-by-step explanation:

25×.8(80%) = 20.

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