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3 years ago

Factor 2w+6

Mathematics

1 answer:

natta225 [31]3 years ago

6 0

Answer:

2( w + 3 )

Step-by-step explanation:

Well first off, since theres no common term to factor out, I had to split 6 in half

so 2 w + 6 becomes 2w + 2 x 3.

I then factored out 2 because it's a common term,

which then leaves: 2( w + 3 )

basically, you have to find a common term to factor out, if you don't see one, you have to do something to a number so there's common terms.

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Which of the following are solutions to the quadratic equation? Check all that

Vedmedyk [2.9K]

Answer:

C and E

Step-by-step explanation:

Factor it so you get

(x-2)(x+5)=0

Then find x

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3 years ago

estimate the number of first-year students at an assembly meeting. He surveys 60 students and finds that 24 of them are first-ye

bogdanovich [222]

Answer:

The values needed to calculate a confidence interval at the 95% confidence level are $z = 1.96, n = 60, \pi = \frac{24}{60} = 0.4$

The 95% confidence interval for the proportion of first-year students at an assembly meeting is (0.276, 0.524).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 60, \pi = \frac{24}{60} = 0.4$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The values needed to calculate a confidence interval at the 95% confidence level are $z = 1.96, n = 60, \pi = \frac{24}{60} = 0.4$

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4 - 1.96\sqrt{\frac{0.4*0.6}{60}} = 0.276$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4 + 1.96\sqrt{\frac{0.4*0.6}{60}} = 0.524$

The 95% confidence interval for the proportion of first-year students at an assembly meeting is (0.276, 0.524).

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3 years ago

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3 years ago

-4(-3n - 8 ) = 10n + 20<br><br> n =

IrinaK [193]

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3 years ago