MATHEMATICS COLLEGE

2. When a < b, how is the graph of x > a and x < b
similar to the graph of x > a? How is it different?

Answers

Answer 1
Answer:

Answer:

• If the equations of a and b are polynomials,it'll be a curve between a and b [ b<x<a]

• If the equations of a and b are linear,it'll be a line between a and b

{ \rm{x > a \: \: and \: \: x < b}} \n \n { \boxed{ \rm{ \: b < x < a \: }}}

Related Questions

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A woman leaves home and walks 3 mi. west, and then 4 mi. south. What is the magnitude of her displacement? Note: they are not asking you to add how far she went west and south. They are asking how far she is from home if she went directly back. Think of a triangle.
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Sharon needs 64 credits to graduate from her couch she has 24 credits what percent of the required credits does she have

Zoey invested $230 in an account paying an interest rate of 6.3% compounded daily.Assuming no deposits or withdrawals are made, how much money, to the nearest
hundred dollars, would be in the account after 12 years?

Answers

Answer:

A ≈ $500

General Formulas and Concepts:

Pre-Alg

  • Order of Operations: BPEMDAS

Algebra I

Compounded Interest Rate: A = P(1 + r/n)ⁿˣ

  • A is final amount
  • P is initial (principle) amount
  • r is rate
  • n is number of compounds
  • x is number of years

Step-by-step explanation:

Step 1: Define

P = 230

r = 0.063

n = 365

x = 12

Step 2: Solve for A

  1. Substitute:                    A = 230(1 + 0.063/365)³⁶⁵⁽¹²⁾
  2. Divide:                          A = 230(1 + 0.000173)³⁶⁵⁽¹²⁾
  3. Multiply:                        A = 230(1 + 0.000173)⁴³⁸⁰
  4. Add:                              A = 230(1.00017)⁴³⁸⁰
  5. Exponents:                   A = 230(2.1296)
  6. Multiply:                        A = 489.808

What is the greatest common factor of 5x^6+35x^4+15x^3

Answers

5 will go into everything. That is one of the factors.

x^3 is in everything as well.

The highest common factor is 5x^3

(5x^6)/(5x^3) = x^(6-3) = x^3

(35x^4)/(5x^3) = 7x^(4-3) = 7x

(15x^3)/(5x^3) = 3*x^(3-3) = 3*1 = 3

So the greatest common factor (determined by the last term) is 5x^3

And the left over polynomial is x^3 + 7x + 3

Wai recorded the length of each string needed for a knitting project. What is the total length of the string needed?

Answers

Answer:

The answer is "14.625 ft"

Step-by-step explanation:

In the given question some information is missing that is attachment of file which can be described as follows:

Add products:

\rightarrow \ ((1)/(8))* 1+((1)/(4))* 1+((1)/(2))* 3+((3)/(4))*8+(1)*4+1 (3)/(8)* (2)1 (3)/(8) \n\n \rightarrow 11/8\n\n

\rightarrow (1)/(8)* 1+((1)/(4))*1+((1)/(2))*3+((3)/(4))*8+(1)*4+(11)/(8)*(2)\n\n

\rightarrow ((1)/(8))+((1)/(4))+((3)/(2))+(6)+(4)+(11)/(4)\n\n\rightarrow ((1+2+12+48+32+22)/(8)) \n\n\rightarrow (117)/(8) \n\n \rightarrow 14.625 \ ft \n

Assume that, on average, healthy young adult’s dream 90 minutes each night, as inferred from a number of measures, including rapid eye movement (REM) sleep. An investigator wishes to determine whether drinking coffee just before going to sleep affects the amount of dream time. After drinking a standard amount of coffee, dream time is monitored for each of 28 healthy young adults in a random sample. Results show a sample mean, X, of 88 minutes and a sample standard deviation, s, of 9 minutes. (a) Use t to test the null hypothesis at the .05 level of significance (b) If appropriate (because the null hypothesis has been rejected), construct a 95 per-cent confidence interval and interpret this interval

Answers

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 90

For the alternative hypothesis,

µ < 90

If drinking coffee just before going to sleep affects the amount of dream time, then the amount of dream time would be less than 90 minutes. It means that it is left tailed.

Since the number of samples is 28 and no population standard deviation is given, the distribution is a student's t.

Since n = 28,

Degrees of freedom, df = n - 1 = 28 - 1 = 27

t = (x - µ)/(s/√n)

Where

x = sample mean = 88

µ = population mean = 90

s = samples standard deviation = 9

t = (88 - 90)/(9/√28) = - 1.176

We would determine the p value using the t test calculator. It becomes

p = 0.124

Since alpha, 0.05 < than the p value, 0.124, then we would not reject the null hypothesis. Therefore, At a 5% level of significance, the sample data did

not show significant evidence that drinking coffee just before going to sleep affects the amount of dream time.

A turkey costs $1.05 per pound. There are going to be fifteen people at Thanksgiving dinner. Plan for each person to eat two, 3/8 pound servings of turkey. How many pounds of turkey will you need to buy?

Answers

Answer:

I will need to buy 22.5 pounds of turkey and pay $23.63

Step-by-step explanation:

Proportions

Each person is planned to eat 2 x 3/8 pound servings of turkey for thanksgiving dinner. This means each person will eat

2\cdot(3)/(4)=(3)/(2)

pounds of turkey.

There are going to be 15 people at the dinner, thus the total turkey needed is:

15\cdot(3)/(2)=22.5~pounds

The turkey costs $1.05 per pound, thus the total cost is

22.5*$1.05 = $23.63

I will need to buy 22.5 pounds of turkey and pay $23.63

A study of​ 420,095 cell phone users resulted in 135 who developed cancer of the brain or nervous system. When comparing this sample group to another group of people who did not use cell​ phones, it was found that there is a probability of 0.512 of getting such sample results by chance. What do you​ conclude?

Answers

Answer:

Results of the original study are inconclusive

Step-by-step explanation:

A probability of 0.512 that the results obtained in the controlled sample could be obtained by chance, means that it is more likely than not ( P>0.50) to get this results by chance. What this means is that the results of the original study linking brain cancer development to cell phone use are inconclusive.
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