Find an equation for the line below.

Answer:

The decision rule is  

Reject the null hypothesis  

The conclusion is  

There is sufficient evidence to reject the claim  

Step-by-step explanation:

From the question we are told that

   The population mean is  [tex]\mu = 24.2 \ gallons \ per \ year[/tex]

    The sample size is  n  =  101

     The sample mean is  [tex]\= x = 23.5 \ gallons\ per\ year[/tex]

     The standard deviation is  [tex]\sigma = 3.2 \ gallons[/tex]

The null hypothesis is  [tex]H_o : \mu = 24.2[/tex]

 The alternative hypothesis is [tex]H_a : \mu \ne 24.2[/tex]

Generally the test statistics is mathematically represented as    

               [tex]z = \frac{ \= x - \mu }{ \frac{\sigma }{ \sqrt{n} } }[/tex]

=>             [tex]z = \frac{ 23.5 - 24.2 }{ \frac{ 3.2}{ \sqrt{ 101} } }[/tex]  

=>             [tex]z = -2.198[/tex]

From the z table  the area under the normal curve to the left corresponding to    -2.198  is  

         [tex]P(Z < -2.198 ) = 0.013975[/tex]

Gnerally the  p-value is mathematically represented as

         [tex]p-value = 0.013975 * 2[/tex]

=>      [tex]p-value = 0.02795[/tex]

From the value obtained we have that  [tex]p-value \ < \ \alpha[/tex] hence  

The decision rule is  

Reject the null hypothesis  

The conclusion is  

There is sufficient evidence to reject the claim  

Using the Rejection Regions for a z-test method

Generally from the z table  the critical value  of [tex]\frac{\alpha }{2}[/tex]  is  

     [tex]z_{critical} = \pm 1.96[/tex]

Not we are using  [tex]\frac{\alpha }{2}[/tex]  because it is a two - tailed test

   Now comparing the critical value and the test statistics we see that the

region covered by  the test statistics (i.e [tex]2.198 < z < -2.198[/tex])   is greater than the region covered by  the critical value  (i.e [tex]1.96 < z < -1.96[/tex])

Hence

The decision rule is  

Reject the null hypothesis  

The conclusion is  

There is sufficient evidence to reject the claim  

Answer:

20/50

Step-by-step explanation:

i think

Answer:

$8,939.58

Step-by-step explanation:

Let x represent the amount to be received each year

==> x * Present value annuity factor (4%,7yrs) = $29,000

==> x * 3.240 = $29,000

==> x = $29,000/3.244

x = 8939.580764488286

x = $8,939.58

So, $8,939.58 is the amount he will receive each year.

Step-by-step explanation:

option 1 is ur answer hope this helpss bro

Answer:

Can you add a picture?

Answer:

2 1/2 or 5/2 cups of milk

Step-by-step explanation:

if 16 cookies are made from 1 2/3 cups of milk which equals 5/3 cups of milk that means that you need 5/2 or 2 1/2 cups of milk to make 24 cookies because you need to multiply 5/3 by 16 and then multiply 5/48 by 24 which is 5/2 or 2 1/2 cups of milk

Answer:9

Step-by-step explanation:

If X is 2, then plug it in to get 2x7-5= 9

Y is 9

Answer:

C. φ

Step-by-step explanation:

[tex]tan \phi \: = \frac{6}{5} \\ \\ tan x \: = \frac{6}{5} \\ \implies \: x = \phi[/tex]

Thus [tex] \Phi [/tex] can replace x

The time taken by sister of Eva to knit 8 similar scarves, if Eva can knit 2/5 of a scarf in an hour. Her sister takes 3/4 of the time she takes is 2.4 hours.

It is the contrast of two different quantities. For instance, if your father weighs 90 kg, and you weigh 30 kg, the weight ratio is 1:3.

Given:

Eva can knit 2/5 of a scarf in an hour. Her sister takes 3/4 of the time she takes,

Calculate the time taken by the sister of Eva as shown below,

The time taken by the sister to knit a scarf = 3 / 4 × 2 / 5 hours

The time taken by the sister to knit 8 scarves = 3 / 10 × 8 hours

The time taken by the sister to knit 8 scarves = 2.4 hours

To know more about Ratios:

https://brainly.com/question/13419413

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Answer:

24 ounce one

Step-by-step explanation:

You divide 3.9 by 24 round it to 6 times .52 to 6 it is 3.12

2.63<3.12

Answer:

y=-5x+2

Step-by-step explanation:

desmos

also -5= the slope and 2 was the y intercept aka B you had all Pieces

Answer:

D. 15 cm, 9 cm, 24 cm

Step-by-step explanation:

The three lengths that could be the lengths of the sides of a triangle, must satisfy the following condition;

---sum of any two smaller sides chosen must be equal to the third side.

Test option A : 6 cm + 11 cm = 17 cm  ( 17 cm ≠ 23 cm)

Test option B: 10 cm + 15 cm = 25 cm (25 cm ≠ 24 cm)

Test option C: 6 cm + 6 cm = 12 cm (12 cm ≠ 22 cm)

Test option D: 15 cm + 9 cm = 24 cm (24 cm = 24 cm) ---correct option.

Thus, the three lengths that could be the lengths of the sides of a triangle are 15 cm, 9 cm, and 24 cm

Of the proportional relationship between time in hours and time in days, we have that:

a) The constant of proportionality is 24.

b) The equation is [tex]h = 24d[/tex].

[tex]y = kx[/tex]

Item a:

A day has 24 hours, hence the constant of proportionality is 24.

Item b:

Considering the time in hours as the output and the time in days as the input, the equation is:

[tex]h = 24d[/tex]

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Answer:

.02

Step-by-step explanation:

can't really show work since you don't solve

Answer:

2% as a decimal would be 0.02

Step-by-step explanation:

Where I learned, we do DR. Pepper. We use the DR. 2% is in the ones place. The decimal point goes from the right of R to the left of D. 2% would then be 0.02.

Answer:

85.50+15.39=100.89 dollars

Step-by-step explanation:

First, you calculate the tip cost, which is 15.39. Then you add that to the bill which gives you your total :D

Answer:

Two hours

Step-by-step explanation:

1/4 = 1/2

2/4 = 1

3/4 = 1 1/2

4/4 = 2

Answer:

I am confused but my best guess would be you would earn 54$ for 3 lawns and 162 for 9

Step-by-step explanation:

You multiply 3 x 18 and 9 x 18

Im sorry if im wrong but i dont know what you were asking

Answer:

30 students

Step-by-step explanation:

40% boys and 12 boys so 60% is girls

40/100=12/x

x=30

30-12 is 18

so 30 students, 12 boys, and 18 girls.

Answer:

WN=37.8

Step-by-step explanation:

WN=18%*210

WN=0.18*210

WN=37.8

Answer:

39.60

Step-by-step explanation:

9.90 x 4 = 39.60

Answer:7:45

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer: (0.0016, 0.1584)

Step-by-step explanation:

Given that:

Mean (m) = 0.08

Standard Error = 0.04

Zcritical at 95% = 1.96

Using the relation :

Mean ± Zcritical * (standard error)

0.08 ± 1.96 * (0.04)

Lower boundary = 0.08 - (1.96 * 0.04)

Lower boundary = 0.08 - 0.0784 = 0.0016

Upper boundary = 0.08 + (1.96 * 0.04)

Upper boundary = 0.08 + 0.0784 = 0.1584

Confidence interval is Hence,

(0.0016, 0.1584)

The 95% confidence interval is given by (0.0016 , 0.1584) and this can be evaluated by using the mean and standard error relation.

Given :

To determine the 95% confidence interval using the following relation:

[tex]\rm \mu \pm z_{critical}\times standard \;error[/tex]

[tex]0.08\pm 1.96\times 0.04[/tex]

So, the lower and upper boundary is (0.0016 , 0.1584).

Therefore, the 95% confidence interval is given by (0.0016 , 0.1584).

For more information, refer to the link given below:

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Answer:

2301

Step-by-step explanation:

Hope this helped

Answer:

700

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

because it 719,283 so you have to look at the 71 for this equation and sense the 1 is in higher then 5 it stays the same

hope that helps :)

Answer:

x is 6

Step-by-step explanation:

3/4 * x/8

3*8=24 then,

divide by 4 which gives you 6.

Also if you simplify 6/8, it will give you 3/4.

Answer:

6 =x

Step-by-step explanation:

Answer:

asraerysuyjsathsyjtdtgagtash

Step-by-step explanation:

Step-by-step explanation:

x will equal 6

hope this helps bro if u need the explanation I'll explain to u if needed

6x + 2 - 2x = 3x + 14 - x

6x - 2x + 2 = 3x - x + 14

4x + 2 = 2x + 14

4x - 2x = 14 - 2

2x = 12

x = 12/2

x = 6

Answer:

615.832in^2

Step-by-step explanation:

Step one:

given

The radius of a ball is 7 inches.

Required:

the surface area of the ball

Step two:

the formula for the surface area is

SA= 4πr^2

substitute

[tex]SA=4*3.142*7^2\\\\SA= 4*3.142*49\\\\SA=615.832 in^2\\\\[/tex]

Answer:

B = -13

Step-by-step explanation:

Add 13 to both sides

- 13 = b