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1 year ago

-10(1 - 9x) + 6(x - 10) Pics pls

Mathematics

2 answers:

Minchanka [31]1 year ago

7 0

Distributive Property :

$-10(1-9x)+6(x - 10)$

$-10(-9x+1)+6(x - 10)$

$90x-10+6x-60$

$90x-70+6x$

$96x-70$

$answer : \boxed{\pink\star\tt{96x-70}}$

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Common factor :

$- 10(1 - 9x) + 6(x - 10)$

$96x - 70$

$2(48x - 35)$

$answer : \boxed{ \pink \star\tt{2(48x - 35)}}$

Galina-37 [17]1 year ago

3 0

Answer:

$\boxed{\sf{96x-70}}}$

Step-by-step explanation:

Use the distributive property.

<h3>What is a distributive property?</h3>

Distributive property is a serving to distribute or allot or disperse.

Distributive property:

A(B+C)=AB+AC

A(B-C)=AB-AC

-10(1-9x)+6(x-10)

Expand.

-10(1-9x)

-10*1=-10

-10*9x=90x

$\longrightarrow \sf{=-10+90x+6\left(x-10\right)}}$

6(x-10)

6*x=6x

6*10=60

6x-60

Rewrite the problem down.

= -10+90x+6x-60

Combine like terms.

90x+6x-10-60

Add the numbers from left to right.

90x+6x=96x

96x-10-60

Finally, subtract the numbers from left to right.

-10-60=-70

$\Longrightarrow \boxed{\sf{96x-70}}$

Therefore, the final answer is 96x-70.

I hope this helps, let me know if you have any questions.

To learn more about distributive property:

brainly.com/question/2807928

#SPJ1

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Answer:

Step-by-step explanation:

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(a) For x = 54 and s = 5.3

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$Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }$

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Using the Excel Formula:

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For x = 53 and s = 4.6

The test statistics can be computed as:

$Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }$

$Z = \dfrac{53-55}{\dfrac{4.6}{\sqrt{36}} }$

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Using the Excel Formula:

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The test statistics can be computed as:

$Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }$

$Z = \dfrac{56-55}{\dfrac{5.0}{\sqrt{36}} }$

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Using the Excel Formula:

P-Value = T.DIST(1.2,35,1) = 0.88009

Decision: p-value is greater than significance level; do not reject $\mathbf{H_o}$

$Conclusion: \ There \ is \ insufficient \ evidence \ to \ conclude \ that \$ $\mu < 55$

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