The concentration of carbon dioxide (CO2) in the atmosphere is increasing rapidly due to our use of fossil fuels. Because plants use CO2 to fuel photosynthesis, more CO2 may cause trees and other plants to grow faster. An elaborate apparatus allows researchers to pipe extra CO2 to a 30-meter circle of forest. They selected two nearby circles in each of three parts of a pine forest and randomly chose one of each pair to receive extra CO2. The response variable is the mean increase in base area for 30 to 40 trees in a circle during a growing season. We measure this in percent increase per year. Here are one year's data.

Pair Control plot Treated plot
1 9.728 10.748
2 7.276 8.332
3 5.612 6.632

Required:
a. State the null and alternative hypotheses.
b. Explain clearly why the investigators used a one-sided alternative.

1. The researchers have no preconceived idea what extra CO2 will do to the growth rate.
2. The researchers have reason to believe that CO2 will decrease growth rate.
3. The researchers have reason to believe that CO2 will increase growth rate.

c. Carry out a test and report your conclusion in simple language.

Answer:

1. 2/5

2. -1/5

3. -1/3

Step-by-step explanation:

the parpendicular slope is found by taking the original slope and finding the opposite reciprocal. so just flip the slope and make it the opposite sign

-5/2  --->    2/5

+5/1  --->    -1/5

+3/1  --->    -1/3

Answer:

First part:

Set h(t) = 73 and solve for t.

-16t2 + 64t + 16 = 73

-16t2 + 64t - 57 = 0

Solve this quadratic equation for t.  You should get 2 positive solutions.  The lower value is the time to reach 73 on the way up, and the higher value is the time to reach 73 again, on the way down.

Second part:

Set h(t) = 0 and solve the resulting quadratic equation for t.  You should get a negative solution (which you can discard), and a positive solution.  The latter is your answer.

Step-by-step explanation:

Answer:

14 1/6

Step-by-step explanation:

7(1/3)+ 9(2/6)= 16(2/3)

16(2/3)

16(2/3)-2(1/2)= 14(1/6)

Answer:

14 1/6

Step-by-step explanation:

7 + 9  =16

convert 2/6 = 1/3

1/3 +1/3=2/3+16=

16 2/3 -2 1/2=

Answer:

im pretty sure it's -8

Answer:

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Step-by-step explanation:

the line goes straight down

Answer:

one tenth of a galon

Step-by-step explanation:

I think this is the answer hope this helps (:

Answer:

2/7

Step-by-step explanation:

Answer:

3/5 * 10/21= 2/7

Answer:

36 pencils

[tex]Cost = 0.2[/tex]

Step-by-step explanation:

Given

Cost Price = 180

Represent the number of items by x

This implies that the cost of each item is [tex]\frac{x}{180}[/tex]

[tex]Selling\ Price = Cost + Profit[/tex]

[tex]Selling\ Price = \frac{x}{180} + 2[/tex]

Since all but 6 items were sold, the total selling price is:

[tex]Total = (x - 6)(\frac{x}{180} + 2)[/tex]

This amount can be used to buy 30 more items.

So, we have:

[tex](x - 6)(\frac{x}{180} + 2) = x + 30[/tex]

Multiply both sides by 180

[tex]180 * (x - 6)(\frac{x}{180} + 2) =180(x + 30)[/tex]

[tex](x - 6)(x + 360) = 180x + 5400[/tex]

Expand brackets

[tex]x\² + 360x - 6x - 2160 = 180x + 5400[/tex]

[tex]x\² + 354x - 2160 = 180x + 5400[/tex]

Equate to 0

[tex]x\² + 354x - 180x - 2160 - 5400 = 0[/tex]

[tex]x\² + 174x - 7560 = 0[/tex]

Expand

[tex]x\² + 210x - 36x - 7560 = 0[/tex]

[tex]x(x + 210) - 36(x + 210) = 0[/tex]

[tex](x - 36)(x + 210) = 0[/tex]

[tex]x - 36 = 0[/tex] or [tex]x + 210 = 0[/tex]

[tex]x = 36[/tex] or [tex]x = -210[/tex]

Since, number of items can't be negative, we have to discard x = -210.

Hence:

[tex]x = 36[/tex]

We can then conclude that, Mr. Javier purchased 36 pencils

Recall that

[tex]Cost = \frac{x}{180}[/tex]

[tex]Cost = \frac{36}{180}[/tex]

[tex]Cost = 0.2[/tex]

Answer:

18k^2+2m^2+20km

Step-by-step explanation:

Answer:  The average is 2.6

Step-by-step explanation:

The average is the same as the mean  so to find the mean of the numbers add them up and divide it by the number of values.

(4) + (-8) + (6) + ( 14) + (-3) = 13

13/5 = 2.6

Answer: 18

Steps: 54/3=18

1 8

3/54

-3

24

-24

0

Answer:

81

Step-by-step explanation:

I just looked it up :)

Answer:

27

Step-by-step explanation:

9514 1404 393

Answer:

  (x, y) = (40, 2)

Step-by-step explanation:

Taking the antilog of the second equation, we have ...

  x/y^2 = 10

  x = 10y^2

Substituting this into the first equation gives ...

  (10y^2)y = 80

  y^3 = 8 . . . . . . . . divide by 10

  y = 2 . . . . . . . . . . cube root

  x = 10·2^2 = 40

The solution is (x, y) = (40, 2).

Answer:

He has had a quarter of the red sweets (1/4)

Step-by-step explanation:

3/12 is 1/4 when simplified

Answer:

1/4 or 3/12

Step-by-step explanation:

There are 3 red sweets out of all the sweets (3/12).

A simplified version of 3/12 would be 1/4.

Answer:

31.x>2

32.x<-2

33.x<5

34.x>0

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

Answer:

103/120

Step-by-step explanation:

Answer:

2.78%

Step-by-step explanation:

Theres only one number combination you could get for the sum of 2 ( 1 and 1)  but there is 36 different outcomes on the 2 dice that you could get for all the numbers.

1/36=.02777.. =.0278 but since its a percentage you move it over 2x to the right from the decimal point which would give you 2.78%

Answer:

4.50

Step-by-step explanation:

2.25 plus 2.25 aka half

Answer:

B. P(B/A)=P(B)

Answer: b

Step-by-step explanation:

Answer:

21 sheets of paper

Step-by-step explanation:

If its basically 6 tickets to a piece of paper then you just divide 125 tickets by 6 and get 20.833.... Then your round to the nearest sheet which is 21.

Hope this helps!

Answer:

Approx. 21 sheets of paper

Step-by-step explanation:

1 sheet of paper is used to make 6 tickets

6 tickets = 1 sheet

If 1 sheet is used to make 6 tickets. The number of sheets used to make 125 tickets will more.

if

6 tickets = 1 sheet

125 tickets = (125÷6) × 1

= 20.83333333333

Answer:

m = (y2 -- y1) / (x2 -- x1)

Step-by-step explanation:

Answer: 2/7

Step-by-step explanation:The slope of perpendicular lines are opposite reciprocals

Answer:

$625

Step-by-step explanation:

You start with $500

The interest per year is 5% or 500 x 0.05 = $25

If it matures 5 years and each year has an increase of $25 then

Year 1 - $525

Year 2 - $550

Year 3 - $575

Year 4 - $600

Year 5 - $625

Answer:

Step-by-step explanation:

We express the interest rate r in decimal form, so we have r=5%=5100=0.05. The principal is P=500 and the time in years is t=5. So, the interest is I=Prt=(500)(0.05)(5)=$125. The interest earned is $125.

Answer:

The decision rule is

   Fail to reject the null hypothesis

The conclusion is  

     There is sufficient evidence to conclude that the justification against Mr. Jones appears not  to be justified

Step-by-step explanation:

From the question we are told that

   The population mean is  [tex]\mu  =  \$ 356[/tex]

    The sample  size is n  =  30  

     The sample mean is [tex]\= x = \$340[/tex]

    The standard deviation is  [tex]\sigma =  \$ 90[/tex]

    The  null hypothesis is [tex]H_o  :  \mu =  \$ 35 6[/tex]

     The alternative hypothesis is   [tex]H_a  :  \mu \ne  \$ 35 6[/tex]

Let assume the significance level is [tex]\alpha = 0.05[/tex]

Generally the test statistic is mathematically represented as

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

=>  [tex]t = \frac{ 340 - 356 }{\frac{90 }{\sqrt{30} } }[/tex]

=>  [tex]t =-0.9737 [/tex]

Generally the sample size from the question is  small that it is not greater than 30  hence we use t-test

Now the degree of freedom is mathematically represented as

     [tex]df =  n- 1[/tex]

=>   [tex]df =  30- 1[/tex]

=>   [tex]df= 29[/tex]

Generally the p-value is mathematically represented as

      [tex]p-value =  2 P (t >  -0.9737 )[/tex]

Generally from the t-distribution table , the probability of -0.9737 at a degree of freedom of  [tex]df= 29[/tex] for a two -tailed  test  is

     [tex]P (t >  -0.9737 ) =  0.33825793[/tex]

Hence p-value  is  

     [tex]p-value =  2*0.33825793[/tex]

      [tex]p-value =  0.676 [/tex]

From the value we obtained we see that  [tex]p-value  >  \alpha[/tex] hence

The decision rule is

   Fail to reject the null hypothesis

The conclusion is  

     There is sufficient evidence to conclude that the justification against Mr. Jones appears not  to be justified

Answer:

Around 10 days ( 9.28 days: 9 days 6 hours 43 minutes 12 seconds).

Step-by-step explanation:

Given that 25 gizmos are produced each day, and 75 ¢ are made off of each one, a 174$ repair job will take away money that will need to be paid off.

We can create the following equation by using the amount of gizmos earned per day(x or time) multiplied the money made off of each one(in cents ¢), is equal to the repair job since it will be paid off once it is canceled out.

25x(75¢) = 174$.

Since the money made by each gizmo is in cents and not dollars, it is best to convert this into dollars since the repair job is in this form. Because 100¢ are in each dollar, 75¢ = 75/100 dollars = 3/4 dollars.

3/4 * 25 x = (3/4) * (25x) = (25*3) / 4 = 75/4x

(75/4)x = 174$

(75/4x) * (4/75) = (174$) * (4/75)

x = (174 * 4) / 75

x = 696 / 75

x = 9.28

We are multiplying by the reciprocal (numerator and denominator are switched) since it will make your coefficient 1 which is the variable itself. anything times it's reciprocal is equal to one.

75/4x = 174$

×4 ×4

(cancel out the denominator)

____________

75x = 696$

÷ 75 ÷ 75

(cancel out 75 to get the variable by itself)

___________

x = 696/75

x = 232/25

x = 928/100

x = 9.28

___________

Using a system of equation, the number of days it will take to recuvwr the repair cost is 58 days.

The increase in amount of gizmo produced after repair :

Prize per gizmo = 75 cent = $0.75

Repair cost = $174

The number of days it will take to recover the repair fee can be calculated thus :

(Increase on gizmo per day × cost per gizmo)× number of days = repair fee

(4 × 0.75)d= 174

3d = 174

d = 174 / 3

d = 58

Therefore, it will take 58 days to recover the repair fee.

Learn more : https://brainly.com/question/18796573

Answer:

70 is the answer to the question

Answer:

[tex]70^{o}[/tex]

Step-by-step explanation:

Opposite angles in a parallelogram are equal. The opposite angle to A is C and we are trying to find angle C. Therefore, <C = <A, therefore, <c= 70 degrees