210÷5 first u break it down and divide it step by step and it =42

STatiana [176]

Answer: $\displaystyle y= \frac{2\text{x}}{4\text{x} - 1}$

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Work Shown:

$8\text{x}y= 2(2\text{x} + y)\\\\8\text{x}y= 4\text{x} + 2y\\\\8\text{x}y - 2y= 4\text{x}\\\\y(8\text{x} - 2)= 4\text{x}\\\\y= \frac{4\text{x}}{8\text{x} - 2}\\\\y= \frac{2*2\text{x}}{2(4\text{x} - 1)}\\\\y= \frac{2\text{x}}{4\text{x} - 1}\\\\$

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Explanation:

The idea is to first get all the y terms to one side. I did this by subtracting 2y from both sides in the third step.

Then factor out y and divide both sides by (8x-2)

Afterward there's the optional steps of simplifying (as shown in the final two steps).

5 0

2 years ago

According to a recent publication, the mean price of new mobile homes is $63 comma 800. Assume a standard deviation of $7900.

wolverine [178]

Answer:

a. For n=25, the mean and standard deviation of the prices of the mobile homes all possible sample mean prices are $63,800 and $1,580, respectively.

b. For n=50, the mean and standard deviation of the prices of the mobile homes all possible sample mean prices are $63,800 and $1,117, respectively.

Step-by-step explanation:

In this case, for each sample size, we have a sampling distribution (a distribution for the population of sample means), with the following parameters:

$\mu_s=\mu=63,800\\\\\sigma_s=\sigma/\sqrt{n}=7,900/\sqrt{n}$

For n=25 we have:

$\mu_s=\mu=63,800\\\\\sigma_s=\sigma/\sqrt{n}=7,900/\sqrt{25}=7,900/5=1,580$

The spread of the sampling distribution is always smaller than the population spread of the individuals. The spread is smaller as the sample size increase.

This has the implication that is expected to have more precision in the estimation of the population mean when we use bigger samples than smaller ones.

If n=50, we have:

$\mu_s=\mu=63,800\\\\\sigma_s=\sigma/\sqrt{n}=7,900/\sqrt{50}=7,900/7.07=1,117$

4 0

3 years ago

What integer increased by - 12 is 28?

guajiro [1.7K]

Answer:

40

Step-by-step explanation:

Let n represent the integer. Then the increase can be written as ...

n + (-12) = 28

We can add 12 to both sides of this equation:

n + (-12) + (+12) = 28 +12

n + 0 = 40 . . . . . . -12 and 12 total to zero; 28 and 12 total to 40.

n = 40

The integer is 40.

4 0

3 years ago

The circumference of a circular field is 279.46 yards. What is the radius of the field? Use 3.14 for π and do not round your ans

wel

Answer:

44.5 yards

Step-by-step explanation:

Start with the formula of the circumference of a circle.

C = πd

Now all you have to do is plug in the numbers.

279.46 = (3.14)d

Divide both sides by 3.14

d = 89

But since you're finding the radius, you have to divide the diameter by 2.

89/2 = 44.5

6 0

3 years ago

Factor the expression using the GCF. 18-12

rodikova [14]

Answer:

6(3-2)

Step-by-step explanation:

Find the GCF of both numbers. The GCF is 6. Write it as 6( - )

Then, divide both numbers by 6. 18 divided by 6 is 3 and 12 divided by 6 is 2. Fill in the blanks with 3 and 2. A=6(3-2)

7 0

3 years ago