Molly is on a game show. To win $1,000,000, she must answer this question: What key features are necessary—and how are the features used—to create the sketch of a polynomial function? What is Molly's winning answer? Explain in complete sentences.

Answers

Answer 1
Answer: A polynomial function refers to a function expressed by a polynomial, with only positive integer (non-fraction, non roots) values for the exponents, such as:

(a_(1))^(n) + (a_(2))^(n-1) + (a_(3))^(n-2) +...+ a_(n)

Remember that (1)/(x) can be written as ,

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The universal set is the set of whole numbers less than 14.U = {0,1,2,3,4,5,6,7 ,8 ,9 ,10 ,11 ,12 ,13}

Set J is the set that represents the numbers that Janet thinks are lucky.
J={3,7}

Set K is the set that represents the numbers that Kyle thinks are awesome!
K={2,4,6,8}

Set L is the set that represents the numbers that Lauren thinks she should write on the wall of her bedroom (with her parent’s permission, of course)!
L={0,3,5,6,7,8,9}

What is the set defined by ~(J ∪K) ?

Answers

~(J ∪K) = not J union K = not {2, 3, 4, 6, 7, 8} = {0, 1, 5, 9, 10, 11, 12, 13}

Which of the following statements is true? a) A 95% confidence interval is narrower than a 90% confidence interval for the same set of data. b) Increasing the sample size will decrease the margin of error in your confidence interval. c) The critical value is the variance of the sampling distribution. d) The point estimate is the measure of variation used in the computation of the margin of error. e) Smaller sample sizes produce larger margins of error because smaller samples always have larger standard deviations.

Answers

Answer:

The correct option is;

b)

Step-by-step explanation:

a) 95% Sample CI =  152.6395 to  153.3605; Range = 0.721 Wider

90%  Sample CI = 152.6975 to  153.3025; Range= 0.605 Narrower

b) Sample size ∝ 1/Error²

Therefore, increasing the sample will decrease the margin of error

c) The critical value is the value of the test statistic at the level of confidence

Variance = (Standard deviation)²

d) Point estimate is the mean or average, variation is the range or also the variance

e) Smaller samples have their relative standard deviations which does not depend on the sample size

El ministerio de educación publicó los resultados obtenidos por los colegios en la última prueba icfes saber 11. En el colegio San estaban el promedio de los estudiantes en la prueba de razonamiento cualitativo fue de 75,8 ¿ que significa este resultado?

Answers

Answer:

El indicador mencionado en el enunciado indica que la suma de los resultados de las pruebas de razonamiento cualitativo de los estudiantes dividido por la población de los estudiantes arroja ese promedio.

El promedio indica el valor "central" del indicador, no estudia la dispersión de los resultados de las pruebas, es decir, como se distribuye la colección de indicadores.

Step-by-step explanation:

El indicador mencionado en el enunciado indica que la suma de los resultados de las pruebas de razonamiento cualitativo de los estudiantes dividido por la población de los estudiantes arroja ese promedio.

El promedio indica el valor "central" del indicador, no estudia la dispersión de los resultados de las pruebas, es decir, como se distribuye la colección de indicadores.  

Write a word problem for the proportion 6:15=n:35.

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"For 6 dollars you can buy 15 candies. How much money do you need to buy 35 candies?"

It is important to remember that on both sides of "equal" sign numbers at certain position represent same "type". In this example first number on left side is 6 and on right side is "n" and we can see in text that both of them represent money, while other 2 numbers represent other type (in this case, candies).

The trees at a national park have been increasing in numbers. There were 1,000 trees in the first year that the park started tracking them. Since then, there have been as many new trees each year. Create the sigma notation showing the infinite growth of the trees and find the sum, if possible. Year New trees 1 1000 2 200 3 40

Answers

Answer:

Step-by-step explanation:

There were 1000 trees in the first year and every year new trees are getting added.

The sequence formed for the new trees every year is

Year                1           2           3

New trees   1000      200      40

We see a geometric sequence has been formed by the new trees added

Ratio of the second year and 1st year trees added = (200)/(1000)=(1)/(5)

Similarly ratio of trees added in 3rd year to 2nd year = (40)/(200)=(1)/(5)

So there is a common ratio of (1)/(5)

Explicit formula of a geometric sequence representing growth of the trees by

T_(n)=a(r)^(n-1)

where a = number of trees grown first year

r = common ratio

n = number of years

Explicit formula showing the growth of the trees using sigma notation will be

\sum_(n=1)^(\infty)1000((1)/(5))^(n-1)

And Formula for number of trees every year will be

\sum_(n=1)^(\infty)1000+1000((1)/(5))^(n-1)

\sum_(n=1)^(\infty)1000[1+((1)/(5))^(n-1)]

Sum of the trees will be

S=(a)/(1-r)

        = (2000)/(1-(1)/(5))

        = (2000)/((4)/(5) )

        = (2000* 5)/(4)

        = 2500

Describe the conditions necessary for the variance to have the value zero.

Answers

The variance must be subtracted with the same value, or added with its opposite integer.