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3 years ago

Please help me with this math problem I don’t know it I need to pass this class !!!!!!

Mathematics

1 answer:

Alisiya [41]3 years ago

4 0

The correct option is Option 4: $2a^2b^3 + 10ab^4$

Step-by-step explanation:

Given

Length of box = l = ab

Width of box = w = a+5b

Height of box = h = 2b^2

The volume of a box is given by:

$V = Length*Width*Height\\V = l*w*h$

Putting the values

$V = (ab)(a+5b)(2b^2)\\ = (ab)(2b^2)(a+5b)\\=(2ab^3)(a+5b)\\Distributive property\\=(2ab^3*a) + (2ab^3*5b)\\=2a^2b^3 + 10ab^4$

Hence,

The correct option is Option 4: $2a^2b^3 + 10ab^4$

Keywords: Volume, Polynomials

Learn more about polynomials at:

#LearnwithBrainly

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A computer manufacturing company has sent a mail survey to 2,800 of its randomly selected customers that have purchased a new la

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Answer:

The 96% confidence interval for the population proportion of customers satisfied with their new computer is (0.77, 0.83).

Step-by-step explanation:

We have to calculate a 96% confidence interval for the proportion.

We consider the sample size to be the customers that responded the survey (n=800), as we can not assume the answer for the ones that did not answer.

The sample proportion is p=0.8.

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The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.8*0.2}{800}}\\\\\\ \sigma_p=\sqrt{0.0002}=0.014$

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The margin of error (MOE) can be calculated as:

$MOE=z\cdot \sigma_p=2.054 \cdot 0.014=0.03$

Then, the lower and upper bounds of the confidence interval are:

$LL=p-z \cdot \sigma_p = 0.8-0.03=0.77\\\\UL=p+z \cdot \sigma_p = 0.8+0.03=0.83$

The 96% confidence interval for the population proportion is (0.77, 0.83).

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2 years ago

A amusement park charges $35.50 for admission. On Saturday, 3,247 people visited the park. On Sunday, 3,542 people visited the p

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Answer:

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Step-by-step explanation:

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2 years ago

Y varies directly as X. If X=2 and y=10. Find Y when X=7

ser-zykov [4K]

Answer:

y= 35

Step-by-step explanation:

y directly proportional to x

where x= 2, y= 10

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k= 10/2

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Answer:

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Step-by-step explanation:

-1<4

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2 years ago

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