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3 years ago

3x(x+5y)+2y(7x-y)+4(x^2+2y)

Mathematics

1 answer:

Helga [31]3 years ago

6 0

Answer:

7x^2 + 29xy -2y^2 + 8y

Step-by-step explanation:

3x(x+5y)+2y(7x-y)+4(x^2+2y)

Break all the brackets and you would hot:

= 3x*x + 3x*5y + 2y*7x - 2y*y + 4*x^2 + 4*2y

= 3x^2 + 15xy + 14xy -2y^2 + 4x^2 + 8y

= 3x^2 + 4x^2 +15xy + 14xy - 2y^2 + 8y

= 7x^2 + 29xy -2y^2 + 8y

Hope this help you :3

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ivolga24 [154]

Answer: 87.5%
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2 years ago

Two companies, A and B, package snack-size bags of cashews. Let X represent the weight of the packages from company A, and let Y

Vitek1552 [10]

The answer choice that correctly calculates and interprets the standard deviation of the sum, S = X + Y is D. Sigma Subscript s = 0.8; companies A and B can expect the total weight of packages to vary by approximately 0.8 ounces from the mean.

<h3>What does the standard deviation means?</h3>

A standard deviation means the all measure of how dispersed the data is in relation to the mean. It should be noted that low standard deviation means that the data are clustered around the mean, and the high standard deviation means that the data are more spread out.

In this case, the answer choice that correctly calculates and interprets the standard deviation of the sum, S = X + Y is the sigma Subscript s = 0.8; companies A and B can expect the total weight of packages to vary by approximately 0.8 ounces from the mean.

In conclusion, the correct option is D.

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8 0

1 year ago

The national mean sales price for a new one-family home is $181,900. A sample of 40 one-family homes in the south showed a sampl

SIZIF [17.4K]

Answer:

The null hypothesis is $\mu = \$181,900$

The alternative hypothesis is $\mu < \$ 181.900$

$t = -2.92$

$p-value = 0.0016948$

There no sufficient evidence to support the conclusion that the population mean sales prices for new one-family homes in the South is less expensive than the national mean of $181,900

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = \$ 181, 900$

The sample size is $n = 40$

The sample mean is $\= x = \$ 166,400$

The sample standard deviation is $s= \$ 33, 500$

The null hypothesis is $\mu = \$181,900$

The alternative hypothesis is $\mu < \$ 181.900$

Generally the test statistics is mathematically represented as

$t = \frac{ \= x - \mu }{ \frac{s}{\sqrt{n} } }$

=> $t = \frac{ 166400 - 181900 }{ \frac{33500}{\sqrt{40} } }$

=> $t = -2.92$

Generally the p-value is obtain from the z-table the value is

$p-value = P(Z < t ) = P(Z < -2.93) = 0.0016948$

=> $p-value = 0.0016948$

From the calculation we see that

$p-value > \alpha$ hence we fail to reject the null hypothesis

Thus there no sufficient evidence to support the conclusion that the population mean sales prices for new one-family homes in the South is less expensive than the national mean of $181,900

3 0

3 years ago

NEED THE ANSWER ASAP PLEASE

ValentinkaMS [17]

Answer:

X = -2

Step-by-step explanation:

Vertical lines go up and down. That means the x value is constant and the y value changes. We have an x value of -2

X = -2

8 0

2 years ago

Annual revenue for Corning Supplies grew by 5.5% in 2007; 1.1% in 2008; -3.5% in 2009; -1.1% in 2010; and 1.8% in 2011. What is

ANTONII [103]

Answer:

The mean growth annual rate over this period is 0.0036

Step-by-step explanation:

we know that

The mean growth annual rate is calculated as the sum of each year's growth rate divided by the number of years

$\frac{5.5\%+1.1\%-3.5\%-1.1\%+1.8\%}{5}=0.36\%$

Convert to decimal form

$0.36\%=0.36/100=0.0036$

therefore

The mean growth annual rate over this period is 0.0036

6 0

3 years ago