Coal gas is produced at a gasworks. Pollutants in the gas are removed by scrubbers, which become less and less efficient as time goes on. The following measurements, made at the start of each month, show the rate at which pollutants are escaping (in tons/month) in the gas: Time (months) 0 1 2 3 4 5 6 Rate 5 7 9 14 22 31 40 A. Make an overestimate and an underestimate of the total quantity of pollutants that escape during the first month. overestimate

Answers

Answer 1

Answer:

overestimate = 7

underestimate = 5

Step-by-step explanation:

Table

_________________________________

Time (months)    0    1    2     3      4     5     6

Rate                   5   7     9    14    22    31    40

___________________________________

A. Make an overestimate and an underestimate of the total quantity of pollutants that escape during the first month.

Overestimate

For this case, we review the data in the table. The value for first month of total quantity of pollutants that escape is 7. Additionally, we can notice that the rate is increasing.

Just a month and that month has a value of  7

= 1* 7 (The largest value) = 7

Underestimate

This would be equivalent to the total until the previous meassure

= 1*5 = 5


Related Questions

Expand and simplify 3(C - 2d) - 2(2C - 3d).​

Answers

Answer:

-C

Step-by-step explanation:

3(C - 2d) - 2(2C - 3d).

Distribute

3C - 6d  - 4C +6d

Combine like terms

3C -4C  -6d +6d

-C

Answer:

-C

Step-by-step explanation:

3(C - 2d) - 2(2C - 3d) =

= 3C - 6d - 4C + 6d

= 3C - 4C - 6d + 6d

= -C

In an effort to test the hypothesis that the proportion of voters in the younger than 40 year old age bracket who will vote for a particular politician is different than the proportion voters in the above 40 age bracket, the following data was collected. Test hypothesis at 0.10 level of significance.

Population Number Who Will Vote for Politician Sample Size

Below 40 348 700
Above 40 290 650

Required:
a. Reject the Null Hypothesis and condlude that the proportion of voters in the younger than 40 year oid age bracket who will vote for a particular different than the proportion voters in the above 40 age bracket.
b. Do not reject the Null Hypothesis and conclude that the proportion of wotors in the younger than 40 year old age bracket who will vote for a particular politician is not different than the proportion voters in the above 40 age bracket.

Answers

Answer:

We reject H₀ we support the claim that the two proportion are different

Step-by-step explanation:

Younger than 40 years old

Sample size  n₁  = 700

x₁  = 348

p₁ = 348 / 700      p₁ = 0,497     p₁ = 49,7 %

Above 40 years old

Sample size  n₂  = 650

x₂  = 290

p₂ = 290/ 700     p₂ = 0,414      p₂  = 41,4 %

p  =  ( n₁*p₁  +  n₂*p₂ ) / n₁ + n₂

p = 700 * 0,497  + 650 * 0,414 )   / 700 + 650

p = ( 347.9 + 269,1 ) / 1350

p = 0,457      p  = 45,7 %

q = 1 - p         q  = 54,3 %        q = 0,543

CI  is 90 %   significance level is  10 %     α = 10 %     α = 0,1  α/2 = 0,05

zscore for α/2       from z- table is : z(c) = 1,64

Test Hypothesis

Null Hypothesis                                    H₀        p₁  =  p₂

Alternative Hypothesis                        Hₐ        p₁  ≠  p₂

To calculate  z(s) =  (  p₁  -  p₂ ) / √ pq/n₁   +  pq/ n₂

p₁  -  p₂  =  0,497  -  0,414  =  0,083

√ pq/n₁   +  pq/ n₂   = √  0,457*0,543/ 700   +  0,457*0,543/ 650

√ pq/n₁   +  pq/ n₂   =  √ 3,545*10⁻⁴  + 3,82 * 10⁻⁴

√ pq/n₁   +  pq/ n₂   =  2,71 * 10⁻²   =  0,0271

z(s) =  0,083/ 0,0271

z(s) = 3,06

Comparing    z(s)  and z(c)

|z(s)| > |z(c)|

Then z(s) is in the rejection region and we reject H₀


Please help me PLEASE

Answers

Answer:

the answer would be Point F

Answer:

The answer is F

Step-by-step explanation:

The first one, second one or third one??!

Answers

Answer:

the second one

Step-by-step explanation:

Answer: Second one

Step-by-step explanation: Because when the plus times the minus it will stay minus.

Hi my question is what is ma name?​

Answers

what do you mean there is no question

find the measure of the angle theta

Answers

Answer:

A. 57.8°

Step-by-step explanation:

Reference angle = θ

Length of hypotenuse = 15

Length of adjacent side = 8

Recall, SOHCAHTOA.

Thus, apply CAH to find θ.

Cos θ = Adj/Hyp

Cos θ = 8/15

θ = Cos^{-1}(8/15)

θ = 57.7690474° = 57.8°

How many faces does the solid made from the net below have? ​

Answers

There are 5 triangles and 1 pentagon for a total of 6

The answer is 6

Write an expression for "six minus b".

Please help!!

Answers

Answer:

6 - b

Step-by-step explanation:

b doesn't have a value.

please help me as fast as possible

Answers

Answer:

Skewed Right

Step-by-step explanation:

5x - 3.3 = 7.2
What is the solution to the
equation?
A. X = 2.1
B. X = 5
C. X = 0.65
D. Not Here

Answers

Answer:

A

Step-by-step explanation:

5x=10.5

x=2.1

what does x and y =??????

Answers

Answer:

x=30. y=60

Step-by-step explanation:

DG is a straight segment so it sums to 180 degrees. ECG is a right angle so 90 degrees. The rest is described as 2x and x. So 3x=90 degrees. x=30. Eh is also a straight segment. since we know x, we know that ECD is 60 degrees. So y+y=120 degrees. 2y=120. y=60.

Mrs. Smith cut an apple pie into 8 slices and a blueberry pie into 12 slices. She served
6 slices of the apple pie and 7 slices of the blueberry pie. Which correctly compares the
amounts of pie Mrs. Smith served?

Answers

Answer:

6/8>7/12

Step-by-step explanation:

6/8>7/12

36/48>28/48

I think

In a swimming competition, Peter swam 600m and Gabriel swam 2km .What is the ratio of Peter’s distance to Gabriel’s? Give your answer in its simplest form. b. Express the ratio 20cm to 15m in the form 1: n c. Express the ration 60 cm to 20 m in the form 1 : n

Answers

Answer:

2\6 is the ratio

Step-by-step explanation:

brainliest pls

step by step explenation

thank you

Hey guys!!! I forgot how to do this :/ lol
whats 10+4÷2?

Answers

Answer:

12

Step-by-step explanation:

What is the slope of the line that passes through (5,4) and (7,10)?

A. 3
B. -3
C. 2
D. -2

Answers

I think it’s A using the formula y2-y1/x2-x1

Answer:

A. 3

Step-by-step explanation:

I just did it on a calculator and got it correct

.HELP!!!!!...............

Answers

Answer:

132 yards

because its a hexagon so all sides are the same, meaning you do 22×6 = 132

Find the volume of the cube below.

Answers

The volume of the cube is 9

Khan uses 78ft of fence for a pen and the length is 25ft. What is the width

Answers

Answer:

The width is 14ft

Step-by-step explanation:

Given

[tex]Fence = 78[/tex]

[tex]Length = 25[/tex]

Required

Determine the width

To do this, we assume that the fence is a rectangle

So, we use the following formula.

[tex]Perimeter = 2 * [Length + Width}[/tex]

Where:

[tex]Perimeter = Fence = 78[/tex]

So, we have:

[tex]78= 2 * [25 + Width}[/tex]

Divide both sides by 2

[tex]39= 25 + Width[/tex]

Solve for Width

[tex]Width = 39 - 25[/tex]

[tex]Width = 14[/tex]

By increasing the down payment from 1,000 to 4,000, how does the total purchasing cost change?

Answers

Answer:

300%

Step-by-step explanation:

By increasing the down payment from 1,000 to 4,000, how does the total purchasing cost change?

If down payment is increased from 1000 to 4000

Icecrement = 4000-1000

Increment =3000

Percentage increase = 3000/1000×100

Percentage increase = 3000/10

Percentage increas=300%

Plsssss help it is khan academy!!!

Answers

The inequality is in the direction of the arrow
The arrow is like this <——— so the inequality is <
It is an open circle so that means -1 is not included
x<-1
Or choice A

12.
The Mills Library has 1,007,199 books. The Springvale Library
has 907,082 books. Which of the following is the best
estimate of how many more books the Mills Library has than
the Springvale Library?
A.
100,000 books
B.
80,000 books
C.
10,000 books
D.
8,000 books
E.
1,000 books

Answers

the correct answer is A: 100,000. good luck on the next answer!!

the ratio of hamburgers to hot dogs at the picnic is 25:10. If there are 100 hamburgers how many lunch itemd are there altogether?​

Answers

Answer:

140 lunch items

Step-by-step explanation:

The unit ratio is 5:2

So if we take that and multiply it by 20 we get 100:40. 100+40 is 140

Answer:

140

Step-by-step explanation:

well if there is 25 hamburgers to 10 hot dogs, than 25 times four is 100 and 10 times four is 40 so 140 but i dont know if i did it right

Plz hurry.....................

Answers

Answer:

It should be 115.2 meters^3

Step-by-step explanation:

Volume = 1/3 a^2h

             = 1/3 x 12^2 x 2.4

             = 115.2 m ^3

Write your answer using integers, proper fractions and improper fractions in the simplest form
PLEASE HELP

Answers

Answer:

y = ⁷/5x + 13/10

Step-by-step explanation:

Recall: equation in slope-intercept form is given as y = mx + b

Thus, let's rewrite 14x - 10y = -13 in this form.

14x - 10y = -13

Add -14x to both sides

-10y = -14x - 13

Divide both sides by -10

-10y/-10 = -14x/-10 - 13/-10

y = ⁷/5x + 13/10


someone please help me im timed

Answers

Answer:

C

Step-by-step explanation:

All sides of a square are equal.

After 1 year, $1,000 deposited in a savings account with simple interest had earned $30 in interest. What was the interest rate?

Answers

Answer:

3%

Step-by-step explanation:

The formula for simple interest is I = PRT, where I = interest earned/paid, P = principal amount deposited or borrowed, R = rate of interest as a decimal, and T = time in years.

I = PRT

30 = (1000)(R)(1)

30 = 1000R

R = 0.03

Multiply by 100 to get the percentage of 3%

calculate the number of sides of a regular polygon with sum interior angles of 2160°.

Answers

Answer:

14 sides

Step-by-step explanation:

The sum of all interior angles of a polygon = (n - 2)180°

2160° = (n - 2)180°

[tex]n - 2 = \frac{2160 \degree}{180 \degree} \\ \\ n - 2 = 12 \\ \\ n = 12 + 2 \\ \\ n = 14[/tex]

Hence, the polygon has 14 sides.


John is going to plant spinach in a rectangular area of his garden. The rectangle is 11 feet long and 7 feet wide. What is the area of this rectangle

Answers

Answer:

Step-by-step explanation: A=wl=7·11=77

Answer:

75 sq ft i think

Step-by-step explanation:

Three times Francis' age plus five times Earl's age is 230. Earl is also four times Francis age. How old is Earl?

Answers

Answer:

E = 40 years

Step-by-step explanation:

Let the age of Francis be F.

Let the age of Earl be E.

Translating the word problem into an algebraic expression, we have;

3F + 5E = 230 ......equation 1

E = 4F .......equation 2

To find the value of F;

Substituting eqn 2 into eqn 1, we have

3F + 5(4F) = 230

3F + 20F = 230

23F = 230

F = 230/23

F = 10 years

Now, to find the value of E;

From eqn 2;

E = 4F

Substituting the value of "F" we have;

E = 4*10

E = 40 years

Therefore, Earl is 40 years old.

In 2009 Zambrano's salary was 18,750,000. He pitched in 28 games in 2009. What was his salary per game in 2009? Round to the nearest cent.​

Answers

Answer:

his salary per game is  669,643

Step-by-step explanation:

The computation of the salary per game in the year 2009 is shown below

Given that

His salary  in the year 2009 is 18,750,000

And, he pitched 28 games in the year 2009

Based on the above information

His salary per game is

= 18,750,000 ÷ 28 games

= 669,643

hence, his salary per game is  669,643

The same is relevant

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