All categories

3 years ago

Write the polynomial in standard form. then classify it by degree and number of terms.

Mathematics

1 answer:

AnnyKZ [126]3 years ago

4 0

Answer:

standard form: −3x³+5x+6

degree and number of terms.

The degree of a polynomial is the highest degree of its terms. 3

The leading term in a polynomial is the term with the highest degree.

−3x³

The leading coefficient of a polynomial is the coefficient of the leading term. −3

List the results.

Polynomial Degree: 3

Leading Term: −3x³

Leading Coefficient: −3

Step-by-step explanation:

You might be interested in

A student was asked to find a 90% confidence interval for the proportion of students who take notes using data from a random sam

Scorpion4ik [409]

Answer:

After use the formula we got the following result for the 90% confidence interval (0.13 <p<0.34)

And the conclusion for this case would be:

e. With 90% confidence, the proportion of all students who take notes is between 0.13 and 0.34.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Description in words of the parameter p

$p$ represent the real population proportion of students who take notes

$\hat p$ represent the estimated proportion of students who take notes

n is the sample size required

$z_{\alpha/2}$ represent the critical value for the margin of error

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Numerical estimate for p

In order to estimate a proportion we use this formula:

$\hat p =\frac{X}{n}$ where X represent the number of people with a characteristic and n the total sample size selected.

Confidence interval

The confidence interval for a proportion is given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 90% confidence interval the value of $\alpha=1-0.90=0.1$ and $\alpha/2=0.05$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.64$

After use the formula we got the following result for the 90% confidence interval (0.13 <p<0.34)

And the conclusion for this case would be:

e. With 90% confidence, the proportion of all students who take notes is between 0.13 and 0.34.

6 0

3 years ago

The temperature, t, in Burrtown starts at 21°F at midnight, when h = 0. For the next few hours, the temperature drops 4 degrees

sweet-ann [11.9K]

In this case the temperature depends on the hour. So temperature is your X and hour is your Y variable. When h=0, x=0. So the 21*C is you x=0 or y-int point.

If we are trying to match the equation for a line of y=mx+b, 21*C=b.

Our rate of change is -4*C/h, which is our m variable.

So y=(-4)x+(21)

OR in this case, t=-4h+21.

Answer D.

6 0

3 years ago

Read 2 more answers

4. How does the law of conservation of energy apply to the coal power plant?

34kurt

law states that energy cannot be created nor destroyed but it can only be transferred from one form to another form. (Coal - Fuel) Chemical energy is converted into heat energy during combustion. With the help of heat generated, the water is converted into steam.

3 0

3 years ago

The length of a rectangle is 5 units more than the width, w. Which expression represents the area of the rectangle?

Slav-nsk [51]

You did not provide a list of expressions to select from.

Let A = area

Let w = width

Let (w + 5) = length

A = (w + 5)w