Which expression will you generate if you combine the like terms in 5x + 6x + y + y + 3y + 4 + 6 + 2?

2 answers:

6 0

the answer is C, because if you want to do it the short way, you can see that 5x+11x=11x, and the only one with 11x is C.

Hope I helped!

~Mschmindy

igor_vitrenko [27]3 years ago

5 0

C. 11x + 5y + 12. You add all the terms with x which would be 5x + 6x = 11x. Then you add (1)y+ (1)y + 3y = 5y. Last part should be easy, 4 + 6 + 2 = 12. Combine all of those and you have 11x + 5y + 12.

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3 years ago

Read 2 more answers

Find the smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the pop

Andreyy89

Answer:

The smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the population mean income is 48.

Step-by-step explanation:

The complete question is:

The mean salary of people living in a certain city is $37,500 with a standard deviation of $2,103. A sample of n people will be selected at random from those living in the city. Find the smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the population mean income. Round your answer up to the next largest whole number.

Solution:

The (1 - α)% confidence interval for population mean is:

$CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}$

The margin of error for this interval is:

$MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}$

The critical value of z for 90% confidence level is:

z = 1.645

Compute the required sample size as follows:

$MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}$

$n=[\frac{z_{\alpha/2}\cdot\sigma}{MOE}]^{2}\\\\=[\frac{1.645\times 2103}{500}]^{2}\\\\=47.8707620769\\\\\approx 48$

Thus, the smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the population mean income is 48.

3 0

3 years ago

Can you please help me on my review?

dimaraw [331]

Answer:

g(x) = -∛(x-7)

Step-by-step explanation:

Reflection in the y-axis changes the sign of x, so after this transformation, the function is ...

g(x) = f(-x)

Then, translation 7 units to the right replaces x by (x-7), so after both transformations, the function is ...

g(x) = f(-(x -7)) = f(-(x -7))

Using the given definition for f(x), we have ...