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3 years ago

What is 3(-6)2 at the top ?

Mathematics

2 answers:

vladimir2022 [97]3 years ago

8 0

Answer:

108

Step-by-step explanation:

Do the parentheses first with the exponent of 2 on the outside.

Multiply -6 times -6, which gets you 36.

After, multiply 36 by 3. Which gets you 108!

Final: 108

spayn [35]3 years ago

4 0

$\huge\boxed{108}$

The $^{-2}$ only affects the $(-6)$ . Let's solve that exponent first.

$3(-6)^{-2}$

$3(-6*-6)$

Multiply.

$3*36$

Multiply one last time.

$\boxed{108}$

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If the measure of an angle is 13 degree, find measure 0f its supplement

amid [387]

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167 degrees

Step-by-step explanation:

supplementary angles equal to be 180 degrees, so subtract the given angle from 180 to find the missing angle.

180-13=167

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4 years ago

Sarah had 28 peaches left at her roadside fruit stand. She went to the orchard and picked more peaches to stock up the stand. Th

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Step-by-step explanation:

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3 years ago

How do I change z= -14+ 8i from rectangular form to polar form?

Olenka [21]

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3 years ago

An article includes the accompanying data on compression strength (lb) for a sample of 12-oz aluminum cans filled with strawberr

Veseljchak [2.6K]

Answer:

The calculated value |t| = 2.375 > 2.1009 at 0.05 level of significance

Null hypothesis is rejected 

Alternative hypothesis is accepted

The extra carbonation of cola results in a higher average compression strength

Step-by-step explanation:

Step(i):-

Given data

First sample size (n₁) = 10

mean of the first sample(x₁⁻) = 537

standard deviation of the first sample (S₁) = 22

second sample size (n₂) = 10

mean of the second sample (x₂⁻) = 559

standard deviation of the second sample (S₂) = 17

Step(ii):-

Null hypothesis : H₀:- The extra carbonation of cola results in a lower average compression strength

Alternative Hypothesis :H₁

The extra carbonation of cola results in a higher average compression strength

Step(iii):-

By using student's t -test for difference of means

Test statistic

  $t = \frac{x^{-} _{1}-x^{-} _{2} }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} } } )}$ 

 where 

  $S^{2} = \frac{n_{1}S^{2} _{1} + n_{2} S_{2} ^{2} }{n_{1}+n_{2} -2 }$ 

  $S^{2} = \frac{10(22)^{2} + 10 (17) ^{2} }{10+10 -2 } = \frac{ 7730}{18} = 429.4$ 

  $t = \frac{537-559 }{\sqrt{429.4 (\frac{1}{10 }+\frac{1}{10 } } )}$ 

 t = -2.375

|t| = |-2.375| = 2.375

Degrees of freedom

γ = n₁+n₂ -2 = 10+10-2 =18

 $t_{\frac{\alpha }{2} ,n-1}=t_{(\frac{0.05}{2} ,18)} = t_{(0.025,18)}}=2.1009$ 

The calculated value |t| = 2.375 > 2.1009 at 0.05 level of significance

Null hypothesis is rejected 

Alternative hypothesis is accepted

Final answer:-

The extra carbonation of cola results in a higher average compression strength

 

5 0

3 years ago

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Dmitry [639]

Answer:

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Step-by-step explanation:

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3 years ago