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Zielflug [23.3K]
3 years ago
5

Graph the function. Then State the domain and range. Also increasing and decreasing​

Mathematics
2 answers:
daser333 [38]3 years ago
8 0

Answer:

First function: domain: [-9,\infty)[−9,∞) , range: (-\infty, -2](−∞,−2] , decreasing

Second function: domain: (-\infty, \infty)(−∞,∞) , range: (-\infty, \infty)(−∞,∞) , increasing

Third function: domain: [3, \infty)[3,∞) , range: [-5,\infty)[−5,∞) , increasing

masha68 [24]3 years ago
4 0

Answer:

See below, I will let graphing part to yourself.

Step-by-step explanation:

First function: domain: [-9,\infty), range: (-\infty, -2], decreasing

Second function: domain: (-\infty, \infty), range: (-\infty, \infty), increasing

Third function: domain: [3, \infty), range: [-5,\infty), increasing

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Country Financial, a financial services company, uses surveys of adults age and older to determine if personal financial fitness
Yakvenalex [24]

Complete Question

Country financials, a financial services company, uses surveys of adults age 18 and older to determine if personal financial fitness is changing over time. In February 2012, a sample of 1000 adults showed 410 indicating that their financial security was more that fair. In Feb 2010, a sample of 900 adults showed 315 indicating that their financial security was more than fair.

a

State the hypotheses that can be used to test for a significant difference between the population proportions for the two years.

b

What is the sample proportion indicating that their  financial security was more that fair in 2012?In 2010?

c

Conduct the hypothesis test and compute the p-value.At a .05 level of significance what is your conclusion?

Answer:

a

The null hypothesis is  H_o :  p_1 = p_2

The  alternative hypothesis is   H_a :  p_1  \ne  p_2

b

in 2012  \r  p_1  =0.41

in 2010  \r  p_2  =0.35  

c

The  p-value  is  p-value = 0.0072

The conclusion is

There is  sufficient evidence to conclude that the proportion of those indicating that  financial security is more fair in Feb 2010 is different from the proportion of  those indicating that financial security is more fair in Feb 2012.

Step-by-step explanation:

From the question we are told that

   The  sample size in 2012 is  n_1  =  1000

    The  number that indicated that their finance was more than fail is  k  =  410  

     The  sample  size in 2010  is  n_2  =  900

   The  number that indicated that their finance was more than fail is  u  =  315

     The  level of significance is  \alpha  =  0.05[/ex]The null hypothesis is  [tex]H_o :  p_1 = p_2

The  alternative hypothesis is   H_a :  p_1  \ne  p_2

Generally the sample proportion for  2012 is mathematically represented as

     \r  p_1  =  \frac{k}{n_1}

=>   \r  p_1  =  \frac{410}{1000}

=>   \r  p_1  =0.41

Generally the sample proportion for  2010 is mathematically represented as

      \r  p_2  =  \frac{u}{n_2}

=>   \r  p_2  =  \frac{315}{900}

=>   \r  p_2  =0.35    

Generally the pooled sample proportion is mathematically represented as

      \r p =  \frac{k + u }{n_1 + n_2}

=>     \r p =  \frac{410 + 315 }{1000+ 900}

=>      \r p =  0.3816

Generally the test statistics is mathematically represented as

     z =  \frac{( \r p_1 - \r p_2 ) - 0}{\sqrt{\r p (1 - \r p ) ( \frac{1}{n_1} +\frac{1}{n_2} )}  }

 z =  \frac{( 0.41 -0.35 ) - 0}{\sqrt{0.3816 (1 - 0.3816 ) ( \frac{1}{1000} +\frac{1}{900} )}  }    

 

 z =  \frac{( 0.41 -0.35 ) - 0}{\sqrt{0.3816 (1 - 0.3816 ) ( \frac{1}{1000} +\frac{1}{900} )}  }

   z  =  2.688

Generally the p- value  is mathematically represented as  

      p-value = 2 P(Z >2.688  )

From the z -table  

      P(Z > 2.688) = 0.0036

So  

      p-value = 2 *0.0036

        p-value = 0.0072

So from the p-value  obtained we see that p-value  <  \alpha so we reject the null hypothesis

Thus there is  sufficient evidence to conclude that the proportion of financial security is more fair in Feb 2010 is different from the proportion of financial security is more fair in Feb 2012.

5 0
3 years ago
A bag has 4 red balls and 8 blue balls. find the probability of choosing a blue ball at random
Inessa [10]
I believe the answer would be 8/12 and reduced to 2/3 when you divide the top and bottom by 4
3 0
2 years ago
Read 2 more answers
Mary has 6 pairs of blue pants which represents 40% of slacks in her closet. What is the total number of pants she owns
Anastaziya [24]

Answer:

The total number of pants in Mary's closet = 15

Step-by-step explanation:

Here, given:

40% of slacks in her closet  = 6 pairs

Let us assume the total pants in her closet = m

So, according to the given data:

40% of m = 6 pairs

\implies \frac{40}{100}  \times m = 6\\\implies m = 6 \times \frac{100}{4}  = 15

⇒ m = 15

Hence the total number fo pants in her closet = 15

6 0
3 years ago
5.8 times 10 and show work (optional)
Step2247 [10]

Answer:

58

Step-by-step explanation:

A easy way to get this is to remove the decimal in 5.8 which gives you ----> 58

NOTE: This works for any problem multiplying 10 x a decimal.

7 0
2 years ago
There are 100 tiles that were purchased to raise money for a new playground. The tiles will be laid along a walkway. Each tile i
faltersainse [42]

Answer:475 inches

Step-by-step explanation:

476 is the answer because:

100 * 4.75 = 475

*Therefore, the answer is 475 inches.

Hopefully this helps:)

7 0
2 years ago
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