Form a polynomial f(x) with real coefficients having the given degree and zeros.Degree 4; zeros: 1, multiplicity 2; 2i

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Answer 1

Answer:

Answer:

Step-by-step explanation:no

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Hope this helps!

The upcoming championship high school football game is a big deal in your little town. The problem is, it is being played in the next biggest town, which is two hours away! To get as many people as you can to attend the game, you decide to come up with a ride-sharing app, but you want to be sure it will be used before you put all the time in to creating it. You determine that if more than three students share a ride, on average, you will create the app.You conduct simple random sampling of 20 students in a school with a population of 300 students to determine how many students are in each ride-share (carpool) on the way to school every day to get a good idea of who would use the app. The following data are collected:6 5 5 5 3 2 3 6 2 25 4 3 3 4 2 5 3 4 5Construct a 95% confidence interval for the mean number of students who share a ride to school, and interpret the results.Part A: State the parameter and check the conditions.Part B: Construct the confidence interval. Be sure to show all your work, including the degrees of freedom, critical value, sample statistics, and an explanation of your process.Part C: Interpret the meaning of the confidence interval.Part D: Use your findings to explain whether you should develop the ride-share app for the football game.

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The parameter used in the probability is the average number of students represented by u.

How to calculate the probability?

The confidence interval based on the information will be:

= 3.85 - 2.09(1.348 / ✓20)

= 3.22

Also, 3.85 + 2.09(1.348 / ✓20) = 4.48

The confidence interval simply means that one is 95% confident that the true mean is between 3.22 and 4.48.

Learn more about probability on:

brainly.com/question/24756209

Answer:

a) The parameter of interest on this case is $\mu$ who represent the average number of students in order to create an app.

b) $3.85 - 2.09 (1.348)/(√(20))=3.22$

$3.85 + 2.09 (1.348)/(√(20))=4.48$

The 95% confidence interval is given by (3.22;4.48)

c) For this case we have 95% of confidence that the true mean for the average number of students in order to create an app is between 3,22 and 4.48.

d) We have the following criteria in order to decide: "You determine that if more than three students share a ride, on average, you will create the app"

So then since the lower limti for the confidence interval is higher than 3 we can conclude that at 5% of significance we have more than 3 students share a ride so then makes sense create the app.

Step-by-step explanation:

Part a

The parameter of interest on this case is $\mu$ who represent the average number of students in order to create an app.

Part b

Data: 6 5 5 5 3 2 3 6 2 2 5 4 3 3 4 2 5 3 4 5

n=20 represent the sample size

$\bar X$ represent the sample mean

$s$ represent the sample standard deviation

m represent the margin of error

Confidence =95% or 0.95

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".

Calculate the mean and standard deviation for the sample

On this case we need to find the sample standard deviation with the following formula:

$s=sqrt{(\sum_(i=1)^20 (x_i -\bar x)^2)/(n-1)}$

And in order to find the sample mean we just need to use this formula:

$\bar x =(\sum_(i=1)^(20) x_i)/(n)$

The sample mean obtained on this case is $\bar x= 3.85$ and the deviation s=1.348

Calculate the critical value tc

In order to find the critical value is important to mention that we don't know about the population standard deviation, so on this case we need to use the t distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . The degrees of freedom are given by:

$df=n-1=20-1=19$

We can find the critical values in excel using the following formulas:

"=T.INV(0.025,19)" for $t_(\alpha/2)=-2.09$

"=T.INV(1-0.025,19)" for $t_(1-\alpha/2)=2.09$

The critical value $tc=\pm 2.09$

Calculate the confidence interval

The interval for the mean is given by this formula:

$\bar X \pm t_(c) (s)/(√(n))$

And calculating the limits we got:

$3.85 - 2.09 (1.348)/(√(20))=3.22$

$3.85 + 2.09 (1.348)/(√(20))=4.48$

The 95% confidence interval is given by (3.22;4.48)

Part c

For this case we have 95% of confidence that the true mean for the average number of students in order to create an app is between 3.22 and 4.48.

Part d

We have the following criteria in order to decide: "You determine that if more than three students share a ride, on average, you will create the app"

So then since the lower limti for the confidence interval is higher than 3 we can conclude that at 5% of significance we have more than 3 students share a ride so then makes sense create the app.

If f Subscript x(a,b)equals f Subscript y(a,b)equals0, does it follow that f has a local maximum or local minimum at (a,b)? Explain. Choose the correct answer below. A. Yes. The point (a,b) is a critical point and must be a local maximum or local minimum. B. Yes. The tangent plane to f at (a,b) is horizontal. This indicates the presence of a local maximum or a local minimum at (a,b). C. No. One (or both) of f Subscript x and f Subscript y must also not exist at (a,b) to be sure that f has a local maximum or local minimum at (a,b). D. No. It follows that (a,b) is a critical point of f, and (a,b) is a candidate for a local maximum or local minimum.

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Answer:

Step-by-step explanation:

The point must be a critical point but it could be a saddle point. If the point is a saddle point it would not be neither a maximum nor a minimum. So it must be critical but it does not follow directly that it has a local maximum or local minimum.

Therefore D. (a,b) would be a candidate, but is not necessarily a maximum or minimum. It could be a saddle.

Please help!! Need to know ASAP

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Answer:

Quadratic function

Step-by-step explanation:

Hope this helps you. Have a great day and I hope to get a brainliest.

What is a rate in math?

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Answer:

A rate is a ratio between two related quantities.

Step-by-step explanation:

Often, the rate has associated units. Often, the word "per" is used to separate the quantities of the ratio, as in "miles per hour" or "dollars per gallon". In this context, "per" means "divided by."

If the units of the quantities are the same, they cancel, and the rate is a "pure number" (a number with no units). A tax rate, for example, is some number of dollars per dollar, a pure number, often expressed as a percentage.

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Unit rates

A "unit rate" is a rate in which one of the quantities is 1 unit. Usually, that is the denominator quantity. A rate that is not a unit rate can be made to be a unit rate by carrying out the division of the numbers.

For example, 3 dollars for 2 pounds ($3/(2#)) is expressed as the unit rate $1.50 per pound.

Some years ago, grocery stores began putting unit rates on price tags so that prices could be compared more easily (at least some of the time). Sometimes the comparison is complicated by different units being used for similar products.

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Percentages

A percentage is the ratio of similar measurements, expressed with a denominator of 100. ("Cent" means "hundred" in "per cent.") The "/100" in the ratio is generally abbreviated as the symbol "%". Since the ratio is of quantities with similar units, it is a pure number.

Occasionally, you will find the idea of "percent" used to relate quantities that are measured differently. For example, a drug that has a concentration of x mg/(100 mL) may be specified as an x% solution.

The proportion of items of significantly different density may be specified either by weight or by volume. That is a mixture that is x% "by weight" may be y% "by volume" (x≠y). The choice of weight or volume will generally depend on the typical way an amount of the mixture is measured.

Answer:

Step-by-step explanation:

La tasa es un coeficiente que expresa la relación entre la cantidad y la frecuencia de un fenómeno o un grupo de números. Se utiliza para indicar la presencia de una situación que no puede ser medida en forma directa.

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