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miss Akunina [59]
2 years ago
6

Use the distributive property to remove the parentheses. -9(-u^3-4+6v^2)

Mathematics
2 answers:
I am Lyosha [343]2 years ago
8 0

Answer:

9u^3 - 54v^2 + 36

Step-by-step explanation:

Multiply -9 by all inside segments.

^.^

- Amanda

Alborosie2 years ago
8 0

Answer:

36 + 9 u^3 + -54 v^2

Step-by-step explanation:

Expand the following:

-9 (-u^3 - 4 + 6 v^2)

-9 (-4 - u^3 + 6 v^2) = -9 (-4) - 9 (-u^3) - 9×6 v^2:

-9 (-4) - -9 u^3 - 9×6 v^2

-9 (-4) = 36:

36 - -9 u^3 - 9×6 v^2

-9 (-1) = 9:

36 + 9 u^3 - 9×6 v^2

-9×6 = -54:

Answer:  36 + 9 u^3 + -54 v^2

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Step-by-step explanation:

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3 years ago
Suppose that in a random selection of 100 colored​ candies, 28​% of them are blue. The candy company claims that the percentage
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Answer:

We conclude that the percentage of blue candies is equal to 29​%.

Step-by-step explanation:

We are given that in a random selection of 100 colored​ candies, 28​% of them are blue. The candy company claims that the percentage of blue candies is equal to 29​%.

Let p = <u><em>population percentage of blue candies</em></u>

So, Null Hypothesis, H_0 : p = 29%     {means that the percentage of blue candies is equal to 29​%}

Alternate Hypothesis, H_A : p \neq 29%     {means that the percentage of blue candies is different from 29​%}

The test statistics that will be used here is <u>One-sample z-test for</u> <u>proportions</u>;

                         T.S.  =  \frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion of blue coloured candies = 28%

           n = sample of colored​ candies = 100

So, <u><em>the test statistics</em></u> =  \frac{0.28-0.29}{\sqrt{\frac{0.29(1-0.29)}{100} } }

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The value of the z-test statistics is -0.22.

<u>Also, the P-value of the test statistics is given by;</u>

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Since the value of our test statistics lies within the range of critical values of z, <u><em>so we insufficient evidence to reject our null hypothesis</em></u> as it will not fall in the rejection region.

Therefore, we conclude that the percentage of blue candies is equal to 29​%.

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