1.) Graph the function y = x + 1 for the domain of 2,-1,0,1​

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  [tex]H_o : p_1 = p_2[/tex]

The  alternative hypothesis is   [tex]H_a : p_1 \ne p_2[/tex]

b

in 2012  [tex]\r p_1 =0.41[/tex]

in 2010  [tex]\r p_2 =0.35[/tex]  

c

The  p-value  is  [tex]p-value = 0.0072 [/tex]

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  [tex]n_1 = 1000[/tex]

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

     The  sample  size in 2010  is  [tex]n_2 = 900[/tex]

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

     The  level of significance is  [tex] \alpha  =  0.05[/ex]

The null hypothesis is  [tex]H_o : p_1 = p_2[/tex]

The  alternative hypothesis is   [tex]H_a : p_1 \ne p_2[/tex]

Generally the sample proportion for  2012 is mathematically represented as

     [tex]\r p_1 = \frac{k}{n_1}[/tex]

=>   [tex]\r p_1 = \frac{410}{1000}[/tex]

=>   [tex]\r p_1 =0.41[/tex]

Generally the sample proportion for  2010 is mathematically represented as

      [tex]\r p_2 = \frac{u}{n_2}[/tex]

=>   [tex]\r p_2 = \frac{315}{900}[/tex]

=>   [tex]\r p_2 =0.35[/tex]    

Generally the pooled sample proportion is mathematically represented as

      [tex]\r p = \frac{k + u }{n_1 + n_2}[/tex]

=>     [tex]\r p =  \frac{410 + 315 }{1000+ 900}[/tex]

=>      [tex]\r p = 0.3816 [/tex]

Generally the test statistics is mathematically represented as

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

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

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

   [tex]z  =  2.688[/tex]

Generally the p- value  is mathematically represented as  

      [tex]p-value = 2 P(Z >2.688  )[/tex]

From the z -table  

      [tex]P(Z > 2.688) = 0.0036 [/tex]

So  

      [tex]p-value = 2 *0.0036 [/tex]

        [tex]p-value = 0.0072 [/tex]

So from the p-value  obtained we see that p-value  <  [tex]\alpha[/tex] 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.

Answer:

60

Step-by-step explanation:

30% of total boxes at the store is equal to 18

so

[tex](30 \div 100 ) \times x = 18 \\ x = 18 \times( 100 \div 30) = \\ 18 \times (10 \div 3) = \\ 6 \times 10 = 60[/tex]

The 18 boxes of cereal Isaac purchased. This represents 30% of all the boxes in the store then total boxes of cereal at the store exists 60.

Rather than being expressed as a fraction, a percentage is a piece of a whole expressed as a number between 0 and 100. Nothing is zero percent; everything is 100 percent; half of something is 50 percent; and nothing is zero percent. To exstimate a percentage, you divide the portion of the whole by the whole itself and multiply by 100.

%, which is a relative figure used to denote hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

The total no of boxes =  y × 100/x

Given x = 30%

y = 18 boxes

Total boxes at the store = 18 × 100/30 = 60

Therefore, the total boxes of cereal at the store exists 60.

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From the information given ,the value of x is 4

A line segment is simply defined as the portion of a line connecting two points that are known to be the endpoints.

From the information given, we have that;

Line RS has three segments which are line RS, Line ST and line RT, also S is the midpoint between points R and T

Given that;

Then,

RS + ST = RT

Substitute the values

2x + 5x + 4 = 32

collect like terms

7x + 4 = 32

7x = 32 - 4

7x = 28

Make 'x' the subject

x = 28/ 7

x = 4

Thus, the value of x is 4

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Answer:

y= -3x

Step-by-step explanation:

The graph of a line with a proportional relationship would have the line go through the origin.

Since the 'y=-3x' equation only shows the slope of the line, it goes through (0,0), or the origin, as it's y-intercept.

y= -3x should be the correct answer.

Hope this helps.

Answer:

less mass

Step-by-step explanation:

The product has less mass because some of its mass got burned. Hope this helps!

some parts of the rope turned into gasses because of the intense heat (fire)

Answer:

8)

Step-by-step explanation

Its 8 because 2 x 4 = 8, or

2 x 2 x 2 x 2 = 8.

Answer:

$4.60 and $18.40

Step-by-step explanation:

The total cost of one milk carton is $2.30. I got this by dividing $9.20 by 4. If you multiply $2.30 by 2, you get $4.60. If you multiply $2.30 by 8, you'll get $18.40.

Answer:

i think that Y= 59 because of it being a vertically opposite angle and X= 121 because of the line being a straight one and angles on a straight line add to 180

Step-by-step explanation:

hope this helps :))

Answer:

C associative to associate both of them

Answer:

the answer is 4

Step-by-step explanation:

By the concept of the intersection of sets 4 students play both basketball and tennis

A set is a collection of well-defined objects.

A subset contains all the elements or a few elements of the given set.

The improper subset is when it contains all the elements of the given set and the proper subset is when it doesn't contain all the elements of the given set.

In this example, we search for the group of students who participate in both sports because we are aware that p is the set formed by the students who play basketball and q is the group formed by the students who play tennis. In other words, we seek the point at where the sets p and q intersect.

Each set is represented by a circle in the Venn diagram, and the set produced by the intersection of p and q is represented by the area where the two circles overlap.

This graph demonstrates that there are 4 kids that participate in both basketball and tennis.

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Answer:

Step-by-step explanation:

Equation 3.0.

Answer:

A = 4 cm^2

Step-by-step explanation:

The area of a triangle is

A = 1/2 b*h

The base is 4 and the height is 2

A = 1/2 ( 4*2)

A = 1/2*8

A = 4 cm^2

Answer:

4

Step-by-step explanation:

A = BH/2

or Area = Base multiplied by Hieght divided by 2.

(b)4 x (h)2 = 8

8/2 = 4

Answer:

11/20 or 99/180 days

Step-by-step explanation:

55/100 converted to ?/180

180/100=1.8

so you would do the same on the numerator which is 55*1.8=99

99/180= 33/60=11/20

Answer:

125

Step-by-step explanation:

Answer: Look in the pdf I attached

Step-by-step explanation:

On the second page it has answers

Answer:

Step-by-step explanation:

Answer:

A, D, E

Step-by-step explanation:

The statements that are true about the graph of the function are

The standard equation of a function in vertex form is expreseed as:

a(x-h)^2 + k

Given the quadaratic function  f(x) = x^2 - 8x + 5, the expression in vertex form is given as:
f(x) = (x^2-8x + 4^2) - 16 + 5

f(x) = (x-4)^2 - 16 + 5
f(x) = (x-4)^2 - 11

Find the y-intercept.

This is the point here x = 0
f(0) = 0^2 - 8(0) + 5
f(0) = 5

Hence the y-intercept of the function is at (0, 5)

Since the quadratic function has a leading degree of 2, hence the  function crosses the x-axis twice  

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Answer:

plug in the missing numbers and you have the answers

Step-by-step explanation:

Answer:

10 weeks

Step-by-step explanation:

she already has 14

so 5 x 10 = 50

14+50=64

Answer:

Angle A is 64 degrees

Step-by-step explanation:

See attachment

Answer:

y=7+1/2x

Step-by-step explanation:

Hope this helps

Answer:

b on edge

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Got it right on Edge

Answer:

the green line is 3/4 and the blue line is-3/4

Answer:

140 simple multipacation

Step-by-step explanation:

[tex]Hello!\;Your\;answer\;is\;below![/tex]

5 x 10 + 2 x 10 + 0 x 10 + 7 x 10 = (?)

5 x 10 + 2 x 10 + 0 x 10 + 7 x 10 = 140!

[tex]Hope \;this\; helps!![/tex]

#[tex]Be\;Bold[/tex]

#[tex]LearnWithBrainlyAlways[/tex]

#[tex]Always\;Brainly![/tex]

[tex]Brazts[/tex]

Answer:

x = -18

Step-by-step explanation:

Well you just have to do the this formula to find the slope

[tex]\frac{y2 - y1}{x2 - x1}[/tex]  Plug in

[tex]\frac{5 - 12}{x - -4 }[/tex] = [tex]\frac{-7}{?}[/tex]=[tex]\frac{1}{2}[/tex]

So we know x will have to be a negative to get 1/2

I would think x = -18 because -18 - -4 = -14 so it would look like this

[tex]\frac{5 - 12}{-18 - -4}[/tex] = [tex]\frac{-7}{-14}[/tex] =[tex]\frac{1}{2}[/tex]

When you further simplify -7/-14 you get 1/2

=====================================

Work Shown:

(f - g)(x) = f(x) - g(x)

(f - g)(x) = ( f(x) ) - ( g(x) )

(f - g)(x) = ( 3^x + 10 ) - ( 2x-4 )

(f - g)(x) = 3^x + 10 - 2x+4

(f - g)(x) = 3^x - 2x + (10+4)

(f - g)(x) = 3^x - 2x + 14

Answer:

a 1/2

Step-by-step explanation:

1/2