Please help me with this !!! Thank you

OverLord2011 [107]

$\bf Step-by-step~explanation:$

$\bf Step~1:$

To solve this, we have to simplify these numbers by adding like terms.

$42x^2+34-8-12\\\\(34-8=26, 26-12=14)\\\\42x^2+14\\$

$\bf Step~2:$

Next, we factor our expression. To do so, we look for the greatest common factor of 42 and 14, which is 14. We know that because 42 divided by 14 is 3.

$\frac{42}{14} =3$

$\boxed{ \bf Our~final~answer: 14(3x^2 + 1)}$

8 0

3 years ago

The cable company takes an simple random sample of 250 of the approximately 15,000 households who subscribe to them. They found

finlep [7]

Answer:

The standard deviation of the sampling distribution of p is 0.03.

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes <em>n</em> > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

$\mu_{\hat p}=p$

The standard deviation of this sampling distribution of sample proportion is:

$\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}$

It is provided that, a cable company takes an simple random sample of 250 of the approximately 15,000 households who subscribe to them to determine the proportion of households that watch sports on television at least once a month.

The actual proportion is 70%.

As the sample selected is quite large, i.e. <em>n</em> = 250 > 30, the central limit theorem can be used to approximate the sampling distribution of sample proportions.

Compute the standard deviation of this sampling distribution as follows:

$\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}$

$=\sqrt{\frac{0.70(1-0.70)}{250}}\\\\=0.0289828\\\\\approx 0.03$

Thus, the standard deviation of the sampling distribution of p is 0.03.

5 0

4 years ago

What is the sum of−1/3−(−1/2)

Eddi Din [679]

Answer:

0.16666666666 and keep on going. you can add a line above the number to show infinite 6

8 0

3 years ago

While grading her students' most recent quiz on equation solving, Mrs. Jones calculated that approximately forty percent of her

EastWind [94]

The given equation is,

$3(-n+4)+5n=2n$

Part 1:

Solve the above equation for n.

Using distributive property of multiplication,

$\begin{gathered} -3n+3\times4+5n=2n \\ -3n+12+5n=2n \end{gathered}$

Now, group the like terms.

$-3n+5n-2n+12=0$

Now, add the like terms.

$\begin{gathered} -5n+5n+12=0 \\ 0=-12 \end{gathered}$

0=-12 is a false statement.

Since we obtained a false statement, the given equation has no solution.

So, option b is correct.

Part 2:

The option (a) is n=3.

If while solving an equation, a single value is obtained for the variable, then the equation has only a single solution. If n=3 is obtained after solving the equation, then the student should chose option (a) as the answer.

The option (b) is "no solution".

While solving an equation, if we obtain an equation which is mathematically false, then the equation will have no solution. So, no solution is chosen when no value is obtained for n and the final equation is mathematically false.

The option (c) is "infinitely many solutions".

While solving an equation, if we obtain an equation which is mathematically correct such as 0=0, 7=7 etc., then the equation will have infinietly many solutions. So, infinitely many solutions is chosen when no value is obtained for n and the final equation is mathematically correct.

8 0

1 year ago

Changes in the Depth of a River

devlian [24]

It e) it rose 5 inches hope it correct

6 0

3 years ago

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