#18). What are the equilibrium concentrations for the two complexes given by your Unknown? Ice Water Room Temperature Warm Water [CoCl]? [Co(H20). [CoCl.]2 [Co(H2O).] [COCI.] [Co(H20). 24 2+ 2+ 3.331x10^ 0.04246 M 3.183x10^ 0.04243 M 0.0000957 0.04151 -6 M -6 M 3M #19). What is the equilibrium Free Chloride concentration at room temperature? Show your work #20). What is the equilibrium Free Water concentration at room temperature? Show your work FREE WATER & CHLORIDE Total Chloride Concentration in Solution Co2+ + 4C1 COC1,2- For every one COCI,2 complex, 4 chloride ions were used. Therefore the free chloride is the total chloride minus 4 times the concentration of COCI,2. Free Chloride = Total Chloride Bound Chloride Total Water Concentration in Solution Co2+ + 6H20 - Co(H20),2+ Free Water = Total Water - Bound Water For every one ColH,0), complex, 6 water molecules were used. Therefore the free water is the total water minus 6 times the concentration of ColH,O),2 ICE EQUILIBRIUM Free Water Co(H20).2+ H2O 1 Free Chloride COCI,2- CI- Initial Chloride 0.00M Before Concentration based on Reaction Starts sample mass and total volume 4X (Because of 1:4 +X ratio. One COCI,? contains 4 Cl") 0.00M Before Reaction Starts Initial Water Concentration based on sample mass and added water с +X -6X (Because of 1:6 ratio. One ColH,0),2- contains 6 H,0) E Given in Unknown Solve for Equilibrium Chloride Concentration Given in Unknown Solve for Equilibrium Water Concentration

Answers

Answer 1

Free Water ≈ 0 M (as bound water is approximately equal to total water). To find the equilibrium concentrations for the two complexes at different temperatures, we can use the provided values in the table:

Ice Water:
[CoCl₄]²⁻ = 3.331x10⁻⁶ M
[Co(H₂O)₆]²⁺ = 0.04246 M
Room Temperature:
[CoCl₄]²⁻ = 3.183x10⁻⁶ M
[Co(H₂O)₆]²⁺ = 0.04243 M
Warm Water:
[CoCl₄]²⁻ = 0.0000957 M
[Co(H₂O)₆]²⁺ = 0.04151 M
#19) To find the equilibrium free chloride concentration at room temperature, use the formula:
Free Chloride = Total Chloride - Bound Chloride
Total Chloride = [CoCl₄]²⁻
Bound Chloride = 4 * [CoCl₄]²⁻ (since 4 chloride ions are used for each complex)
At room temperature:
Free Chloride = Total Chloride - 4 * 3.183x10⁻⁶ M
Free Chloride ≈ 0 M (as bound chloride is approximately equal to total chloride)
#20) To find the equilibrium free water concentration at room temperature, use the formula:
Free Water = Total Water - Bound Water
Total Water = [Co(H₂O)₆]²⁺
Bound Water = 6 * [Co(H₂O)₆]²⁺ (since 6 water molecules are used for each complex)
At room temperature:
Free Water = Total Water - 6 * 0.04243 M.

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Related Questions

There are 6 cups of oatmeal in a container. Stella eats ¼ cup of oatmeal every day for breakfast. In how many days will Stella finish all the oatmeal in the container?

Answers

It will take Stella 24 days to finish all the oatmeal in the container if she eats 1/4 cup every day for breakfast.

The container has 6 cups of oatmeal and Stella eats 1/4 cup every day for breakfast.

To find the number of days it will take Stella to finish all the oatmeal, we can use the formula:

Number of days = Total amount of oatmeal ÷ Amount of oatmeal consumed per day

Total amount of oatmeal in the container = 6 cups

Amount of oatmeal consumed by Stella per day = 1/4 cup

Number of days = 6 cups ÷ 1/4 cup = 24 days

Therefore, it will take Stella 24 days to finish all the oatmeal in the container if she eats 1/4 cup every day for breakfast.

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A one-to-one function is given. Write an expression for the inverse function. f(x)=√x+7 Select one: O af¹¹(x)=x²-7 Ob. f¹(x)=(x-7)³ O c.f¹(x) = (x + 7)³ O d. f¹(x)=x³ +7

Answers

The correct option B. The expression for the inverse is f¹(x) = (x - 7)².

A one-to-one function is given. We have to write an expression for the inverse function.

Given function: f(x)=√x+7

The inverse of a function is found by switching the x and y coordinates and solving for y.

So, the expression for the inverse function will be:

f¹(x) = y = √x + 7 ... (1)

Replace x with y and simplify to isolate y from the radical.

   y = √x + 7

=> y - 7 = √x

=> (y - 7)² = x

Hence, the inverse of the given function is given byf¹(x) = (x - 7)².

So, the correct option is B) f¹(x)=(x-7)².

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Consider parallelogram ABCD below. Point E is the intersection of diagonals AC and BD.
Progress: 0/2
Part 1 of 2
4(-2,2)
D(-2,-10)
(a) Find the area of AABE.
cm
2
B (8.2)
C(8.-10)

Answers

234cm is the answer I believe

the temperature at 12 noon was 10 degree Celsius above zero .if it decreases at the rate of 2 degree Celsius per hour until midnight ,at what time would the temperature be 8 degree Celsius below zero? what would be the temperature at midnight?

Answers

Answer:

The time will be 1:00pm(13 hours) at which the degree Celsius will drop down to 8degrees Celsius since the temperature at 12noon was 10 degree Celsius and it is dropping at the rate of 2 degree Celsius.

what did one dog say to the other dog

Answers

Answer: I like "Hot Dogs"?

Step-by-step explanation:

The price of a 6-minute phone call is 1. 80. What is the price of a 18-minute phone call?

Answers

Answer:

5.40

Step-by-step explanation:

let X represent the price of a 18 minute phone call

X=18 ×1.80

6

= 5.40

Find the equation of L ​

Answers

[tex]y=\frac{7}{2.4} x-6[/tex] ; if estimated then : [tex]y=\frac{7}{2.5} x-6[/tex]

Explination:

Y-intercept is -6, (0,-6)

The rise over run it [tex]\frac{7}{2.4} x[/tex]. The denominator is 2.4 because it nearly 2.5.

help
I need this asap​

Answers

Answer: natural number=11

                integer= -4

                irrational= pi, 0.1010010001.....,root 5

                 rational= 0.1212...., -3/5,0.3,2 1/4

               

Step-by-step explanation:

There are 36 students in the school choir. The ratio of girls to boys in the choir is
5:4. Two girls are absent from practice on Monday. What is the ratio of girls to
boys at choir practice on Monday?
A 3:4
C 9:8
B 5:2
D 10:7

Answers

Answer:

C 9:8

Step-by-step explanation:

total students = 36

5+4=9

5:4 = 20:16

20-2=18

ratio for monday = 18:16

=9:8

Given that x = (5,-5) and y = (8,-3), find x•y

Answers

If x = (5,-5) and y = (8,-3), x•y is: 55.

How to find the vectors?

The dot product (also called scalar product or inner product) of two vectors x = (x1, x2) and y = (y1, y2) is given by:

x•y = x1y1 + x2y2

Using the coordinates of the given vectors:

x = (5, -5)

y = (8, -3)

x•y = (5)(8) + (-5)(-3) = 40 + 15 = 55

Therefore, x•y = 55.

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Jeriel is going to invest in an account paying an interest rate of 6.5% compounded continuously. How much would Jeriel need to invest, to the nearest cent, for the value of the account to reach $137,000 in 5 years?

Answers

Jeriel would need to invest approximately $98,986.25 for the value of the account to reach $137,000 in 5 years, assuming continuous compounding.

How much would Jeriel need to invest for the account to reach the accrued amount?

The formula accrued amount compounded continuously is expressed as;

A = P × e^(rt)

Where A is accrued amount, P is principal, r is interest rate and t is time.

In this case, we are given that the final amount to be $137,000, the interest rate is 6.5% and the time is 5 years.

We want to solve for Principal P.

First, convert R as a percent to r as a decimal

r = R/100

r = 6.5/100

r = 0.065 per year

Plug these values into the above formula and solve for P.

A = P × e^(rt)

P = A / e^(rt)

P = 137,000.00 / e^(0.065 × 5)

p = $98,986.25

Therefore, the value of the principal P is $98,986.25.

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you randomly select 15 cards from a deck of 52 cards. what is the probability that it contains exactly one queen given that it contains exactly two aces?

Answers

The probability that the 15 cards contain exactly one queen given that they contain exactly two aces is approximately 0.060 or 6.0%.

We can use conditional probability. Let A be the event that the 15 cards contain exactly two aces, and B be the event that they contain exactly one queen. Then we want to find the conditional probability P(B|A).

First, let's find the probability of A. There are C(4,2) ways to choose the two aces out of four, and C(48,13) ways to choose the other 13 cards out of the remaining 48 cards. So the total number of ways to choose 15 cards with exactly two aces is:

C(4,2) × C(48,13) ≈ 4.57 × 10^12

Next, let's find the probability of both A and B. There are C(4,2) ways to choose the two aces out of four, C(4,1) ways to choose one queen out of four, and C(47,12) ways to choose the other 12 cards out of the remaining 47 cards. So the total number of ways to choose 15 cards with exactly one queen and exactly two aces is:

C(4,2) × C(4,1) × C(47,12) ≈ 2.76 × 10^11

Finally, we can use the formula for conditional probability:

P(B|A) = P(A and B) / P(A)

P(B|A) = (C(4,2) × C(4,1) × C(47,12)) / (C(4,2) × C(48,13))

P(B|A) ≈ 0.060

Therefore, the probability is approximately 0.060 or 6.0%.

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a laptop has a listed price of 882.99 before tax. if the sales tax rate is 6.25% , find the total cost of the laptop with sales tax included. round your answer to the nearest cent, as necessary.

Answers

The total cost of the laptop with the sales tax included is 938.18.

The total cost of the laptop with the sales tax included is the sum of the original price and the tax amount. The formula to calculate the total cost is given below:

Total Cost = Original Price + (Original Price * Sales Tax Rate)

In this case, the Original Price is 882.99 and the Sales Tax Rate is 6.25%. Therefore, the Total Cost of the laptop with the sales tax included is calculated as follows:

Total Cost = 882.99 + (882.99 * 0.0625)

Total Cost = 882.99 + 55.19

Total Cost = 938.18

Rounding to the nearest cent, the total cost of the laptop with the sales tax included is 938.18.

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Sara cut a 2 1/2 meter rope to hang a swing for her sister. How many centimeters is the rope

Answers

Length of the Sara's rope of 2 1/2 meter in centimeter is 25 centimeters.

To convert 2 1/2 meters to centimeters, we can use the conversion factor 1 meter = 100 centimeters. This means that:

2.5 meters = 2.5 x 100 centimeters

= 250 centimeters

Therefore, the length of the rope is 250 centimeters. It's important to understand and be able to convert between different units of measurement, as this is a common task in many fields such as science, engineering, and finance. For example, in science, it's important to be able to convert between different units of length, mass, and volume when making measurements or analyzing data. Similarly, in finance, it's common to convert between different currencies or units of time when dealing with investments or loans. Being able to make these conversions accurately is essential to avoid errors or misunderstandings. In this case, converting the length of the rope from meters to centimeters allows us to work with a more convenient unit for the task at hand, which is hanging a swing for Sara's sister.

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165. 1% of 384. 7. Round to the nearest thousandth

Answers

Rounding to the nearest thousandth means rewrite the number and deleting all digits to the right of the rounded number. The percentage value for 165.1% of 384.7 is equals to the 42.917%.

In mathematics, a percentage is a number that represents a fraction of hundred. We have to calculate the value of 165.1% of 384.7. Percentage solution with steps:

Step 1: We make the assumption that 384.7 is 100% since it is our output value.

Step 2: We next represent the value we need with x. From step 1, it follows that 100% = 384.7.

Step 3: In the same sense, x% = 165.1.

Step 5: Now, we have a pair of simple equations:

100% = 384.7 --(1).

x% = 165.1 ---(2).

Step 6: By simply dividing equation (1) by equation 2 and taking note of the fact that both the LHS (left hand side) of both equations have the same unit (%); we have 100% /x% = 384.7/165.1.

Step 7: Taking the inverse or reciprocal in both sides, x% / 100% = 165.1/384.7

=> x = ( 165.1/384.7) × 100

=> x = 42.91655835716 ~ 42.917 (round to the nearest thousandth). Therefore, 165.1 is 42.917% of 384.7.

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Eric owns and operates the Hot Ham food truck. The expression 3. 25b+2h3. 25b+2h3, point, 25, b, plus, 2, h gives the cost of bbb burgers and hhh hot dogs. What is the cost of 444 burgers and 666 hot dogs?
\$

Answers

As per the expression, the cost of 444 burgers and 666 hot dogs from Eric's Hot Ham food truck would be $2773.

In this case, Eric's expression is 3.25b + 2h, where b represents the number of burgers and h represents the number of hot dogs. The expression tells us how much it costs to buy a certain number of burgers and hot dogs from Eric's truck.

To find the cost of 444 burgers and 666 hot dogs, we can substitute b = 444 and h = 666 into the expression. So the cost would be:

3.25(444) + 2(666)

Now we just need to simplify this expression by using the order of operations.

First, we multiply 3.25 by 444 to get 1441. Then, we multiply 2 by 666 to get 1332.

Next, we add these two values together:

1441 + 1332 = 2773

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DUCK is a rectangle. Solve:
X=
UDK=

Answers

For the rectangle, the value x will be 14 and angle UDK will be 35°.

What exactly is a rectangle?

A rectangle is a four-sided polygon with four right angles (90-degree angles). It has opposite sides that are equal in length and parallel to each other. The rectangle is a special case of a parallelogram, where the opposite sides are also parallel. The two sides that are equal in length are called the "width" or "short side", while the other two sides are called the "length" or "long side". The area of a rectangle is found by multiplying its length by its width, while its perimeter is found by adding the lengths of all four sides.

Now,

As we know all angles of a triangle are 90°.

then 5x-15+2x+7=90

7x=98

x=14

and in triangle UDK

sum of all angles = 180°

∠UDK+90+5x-15=180

∠UDK=180-145

∠UDK=35°

Hence,

           the value x will be 14 and angle UDK will be 35°.

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suppose that iq scores have a bell-shaped distribution with a mean of 96 and a standard deviation of 17 . using the empirical rule, what percentage of iq scores are less than 79 ? please do not round your answer.

Answers

Suppose that IQ scores have a bell-shaped distribution with a mean of 96 and a standard deviation of 17. Using the empirical rule, 15.87 percentage of IQ scores are less than 79.

The empirical rule says that for a normal distribution, almost all of the data will fall within three standard deviations of the mean.

Specifically:
Approximately 68% of the data falls within one standard deviation of the mean.
Approximately 95% of the data falls within two standard deviations of the mean.
Almost all (99.7%) of the data falls within three standard deviations of the mean.
Given that the mean of IQ scores is 96 and the standard deviation is 17.

Hence the Z score can be calculated as
z=(x−μ)/σ=(79−96)/17=−1
From the standard normal distribution table, the percentage of the data that is less than z = -1 is 15.87%.
Hence the percentage of IQ scores that are less than 79 is approximately 15.87%.

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19. INVESTMENTS Kent invested $5000 in a retirement plan. He allocated x dollars of the money to a bond account
that earns 4% interest per year and the rest to a traditional account that earns 5% interest per year.
a. Write an expression that represents the amount of money invested in the traditional account.
b. Write a polynomial model in simplest form for the total amount of money T Kent has invested after one year.
(Hint: Each account has A + IA dollars, where A is the original amount in the account and I is its interest rate:)
c. If Kent put $500 in the bond account, how much money does he have in his retirement plan after one year?

Answers

Part a: Expression for conventional account: $(5000-x) at 5%pa.

Part b: polynomial model: T =  5250  -  0.01x

Part c: Sum of investments in retirement account: T= $5245.

Explain about the bond account?

When they need to raise money, governments and businesses issue bonds.

a. Create an expression to show how much money is invested in the conventional account.

Back $(5000-x) at 5%pa

b. Construct a polynomial model in its simplest form to represent the entire sum of investments made by T. Kent after a year (possibility: thus every account has A + iA dollars, in Which a is the account's initial balance and I is the interest rate).

The bond will increase to after a year to : x + 0.04x

= x(1+0.04)

= 1.04x   ...eq 1

So, after the time of one year this traditional account growth will be-

(5000-x) + 0.05(5000-x)

= 5000 - x  + 0.05*5000  -  0.05x

= 5000  -  x  + 250  -  0.05x

= 5250  -  1.05x  ..eq 2

From eq 1 and eq 2

T = 1.04x + 5250  -  1.05x

T =  5250  -  0.01x

c. If Kent invested $500 in bonds, how much will he have in the retirement account in a year?

x=500

T= 5250  - 0.01*500

T= 5250 - 5

T= $5245

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Write a phrase in words for each algebraic
expression.
22. m+83_

23.42s
24. 9/d

25. t - 29

26. 2+g
27. 11x
28. h/12
29. 5- k

Answers

t decreased by 29 , Two more than g , Eleven times x , h divided by twelve and Five minus k are the phrase of given expression .

what is expression ?

An expression in mathematics is a group of digits, variables, and operations that illustrates a mathematical connection or concept. Symbols, words, or a combination of both can be used to write expressions in a variety of ways. Expressions that are examples include: 3x + 4, 2y - 7z , (a + b) ,x2 + y2 = 2 5sin(x) + 3cos(x). Equations, inequalities, functions, formulae, and many other mathematical ideas can all be represented as expressions. Additionally, they can be altered or simplified using algebraic methods like factoring, combining like terms, and solving for a variable.

given

The sum of m and 83.

Forty-two times s.

Nine divided by d.

t decreased by 29.

Two more than g.

Eleven times x.

h divided by twelve.

Five minus k

t decreased by 29 , Two more than g , Eleven times x , h divided by twelve and Five minus k are the phrase of given expression .

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when a person standing in neutral flexes their right shoulder so that their arm is horizontal with the ground, the center of gravity (mass) will

Answers

When a person standing in neutral flexes their right shoulder so that their arm is horizontal with the ground, the center of gravity (mass) will shift towards the left side of the body.

Explanation:

What is center of gravity?

The point at which the weight of a body or an object is concentrated, that is, the point at which the mass of the body or the object is focused is known as the center of gravity. The center of gravity (CG) is the point where the weight of the body is supposed to act, which is the point about which the body remains in balance. The body's center of gravity is important because it affects its balance and stability

                             .When a person is standing in a neutral position, the center of gravity is in the midline of the body. When the person flexes their right shoulder and holds their arm horizontally, the center of gravity will shift towards the left side of the body. This is because the weight of the arm is now being supported by the left side of the body. The shift in the center of gravity will cause the person to adjust their posture to maintain balance and stability.

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does the line ever match up perfectly? can the lines ever have the same slope? can the lines ever have the same y-intercept? why or why not?

Answers

No, the lines cannot ever match up perfectly because there is always some sort of difference between them. The lines can have the same slope if they have the same change in y-values for a given change in x-values. The lines can also have the same y-intercept if they cross the y-axis at the same point.

No, there will never be a perfect alignment between the lines since there will always be a discrepancy of some kind. However, the lines can have the same slope and y-intercept. This is possible because the slope and y-intercept are determined by the equation of the line, and if two lines have the same equation, then they will have the same slope and y-intercept.

If the lines intersect the y-axis at the same location, they can also have the same y-intercept. This means that the two lines have the same value of b in the equation y = mx + b. This means that the two lines have the same slope and the same y-intercept.

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help pls its too much

Answers

Answer:

24.13

Step-by-step explanation:

PLEASE HELP WITH EXPLANATION PLEASE PLEASE PLEASE NO SCAMMING FOR THE COINS OR I WILL REPORT YOU

Answers

The correct solutions for the given equation is given by table in option 3.

Explain about the solution of linear equation?

A straight line is produced when a linear equation, which is a two-variable equation, is graphed. The intersection of corresponding values which satisfy the equation results in the line.

The variables x and y are most frequently used in linear equations, hence the associated values can be shown as (x,y) on the coordinate plane, pairs. A collection of two maybe more linear equations is known as a system of linear equations.

The given equation is-

y = x - 6

Put the value of 'x' from the options and check for 'y', if its correct.

The option are the solution of the equation.

option 1:

y = x - 6

x = --5

y = -5 - 6 = -11  (incorrect)

option 2:

y = x - 6

Put x = -8

y = -8 - 6 = -14 (incorrect)

option 3:

y = x - 6

Put x = -7

y = -7 - 6 = -13 (correct)

Thus, the correct solutions for the given linear equation is given by table in option 3.

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Select ALL the set of numbers that are possible values for x in the inequality, x<-3

Answers

The set of numbers that are possible values for x in the inequality x < -3 is: {-9, -7, -5}. (Option 2)

To find the possible values of x that satisfy the inequality x < -3, we need to look for numbers that are less than -3. Among the given sets of numbers, only {-9, -7, -5} contains numbers that are less than -3, so this is the set of possible values for x.

{-33, -22, -11} are all greater than -3, so they are not possible values for x in the given inequality.

{5, 7, 9} and {-5, 0, 5} are also greater than -3, so they are not possible values for x in the given inequality.

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Complete Question:

Select all the sets of numbers that are possible values for x in the inequality, x<-3.

{5,7,9}{-9, -7, -5}{-33, -22, -11}{-5,0,5}

Write an equation to describe the relationship between t, the number of tickets, and c
, the total cost of tickets

Answers

The relationship between t, the number of tickets, and c, the total cost of tickets is: c = 55t

Relation between two variables, i.e, total cost and number of tickets:

The statistical relationship between two variables is called their correlation. The correlation can be positive, which means that the two variables move in the same direction, or negative, which means that when the value of one variable increases, the value of the other variable decreases.

Based n the Question:

Since there is no processing fee and the ticket price remains the same, we know that the fee will be proportional to the number of tickets purchased. The general form of the equation expressing the proportional relationship between the cost (c) and the number of tickets (t) is:

c = kt

where k is the constant of proportionality (the cost per ticket).

We can find k by using any of the data points given in the table. Using the first point, we have :

110 = k·2

Dividing the equation by 2:

110/2 = k = 55

Then using this value for k, the desired equation can be written:

c = 55t

Complete Question:

Total cost (in dollars) Number of concert tickets. the total costs in dollars are 110 275 440. the number in concert tickets are 2, 5, 8 Write an equation to describe the relationship between the total cost in dollars (c), and the number of tickets purchased (t),

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A quadrilateral has opposite sides with the same slopes and consecutive sides with slopes that are reciprocals. What is the most precise classification of the quadrilateral?
Quadrilateral
Rectangle
Parallelogram
Trapezoid

Answers

The most precise classification of the quadrilateral with opposite sides having the same slopes and consecutive sides having slopes that are reciprocals is a Rectangle.

1. Opposite sides with the same slopes imply that these sides are parallel.
2. Consecutive sides with slopes that are reciprocals mean that they are perpendicular.
3. Parallel opposite sides make the quadrilateral a parallelogram.
4. Perpendicular consecutive sides make it a rectangle, as all angles are 90 degrees.

So, the quadrilateral is a Rectangle.

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A researcher found a study relating the distance a driver can see, y, to the age of the driver, When researchers looked at the association of x and y, they found that the coefficient of determination was =0.542. Select two conclusions that the researcher can make from this data. a.) The correlation coefficient, t, is-0 458. b.) About 54% of the variation in distance that the driver can see is explained by a linear relationship with the driver's age. O c.) About 74% of the variation in the driver's age is explained by a linear relationship with the distance that the driver can see O d.) The correlation coefficient, t.is -0736. e.) About 46% of the variation in distance that the driver can see is explained by a linear relationship with the driver's age. 1.) The correlation coeficient 0 271 A data set was grapned using a scatterpion 30 25 20 15 10 5 0 0 5 10 15 20 25 30 The correlation coefficient, r, is 0.813 Which of the following statements explains how the correlation is http/phoenix.sophia.org/tutorials/cautions-about-correlation-2/download ndf The correlation coefficient, r, is 0.813. Which of the following statements explains how the correlation is affected? O a.) It is affected by inappropriate grouping. O b.) It is not affected. c.) It is affected by an influential point. d.) It is affected by non-linearity. SUBMIT MY ANSWER Which of the following statements is TRUE? O a.) Low correlation implies causation b.) A high correlation means that the response variable is caused by the explanatory variable. O c.) High correlation does not always establish causation O d.) To imply causation, the correlation must be 1. SUBMIT MY ANSWER Javascriptvo do)

Answers

1)From the data:

Two conclusions that the researcher can make are:
b.) About 54% of the variation in the distance that the driver can see is explained by a linear relationship with the driver's age.
d.) The correlation coefficient, t, is -0.736. (This can be found by taking the square root of the coefficient of determination and considering the negative correlation)

2)"It is not affected" is the correct statement,that is option b

3)The "High correlation does not always establish causation" is the TRUE statement, that is option c .

What is Correlation?

Correlation is a statistical measure that indicates the extent to which two or more variables fluctuate together.

A positive correlation indicates that as one variable increases, the other variable also increases.

A negative correlation indicates that as one variable increases, the other variable decreases. In other words, it shows the relationship between two variables and helps to understand if they are related or independent.

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Find explicit formulas for sequences of the form a1, a2, a3, ... with the initial terms given
0, -1/2, 2/3, -3/4, 4/5, -5/6, 6/7

Answers

This formula generates the sequence 0, -1/2, 2/3, -3/4, 4/5, -5/6, 6/7, ...

Notice that the sequence alternates between positive and negative terms and that the denominators of each term increase by 1 while the numerators increase by 1 or -1. To find the explicit formula, we can write it in terms of its general form:

a1 = 0

a2 = -1/2

a3 = 2/3

a4 = -3/4

a5 = 4/5

a6 = -5/6

a7 = 6/7

We can see that the numerator of each term is equal to its index number, n, if n is even and equal to -n if n is odd. The denominator of each term is equal to n+1 for all terms.

Using this observation, we can write the explicit formula for the sequence as:

an = (-1)^(n+1) * n / (n+1)

where (-1)^(n+1) is equal to -1 if n is odd and 1 if n is even. This formula generates the sequence 0, -1/2, 2/3, -3/4, 4/5, -5/6, 6/7, ...

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A randomized experiment was performed to determine whether two fertilizers, A and B, give different yields of tomatoes. A total of 33 tomato plants were grown; 16 using fertilizer A, and 17 using fertilizer B. The distributions of the data did not show marked skewness and there were no outliers in either data set. The results of the experiment are shown below.[table]Which of the following statements best describes the conclusion that can be drawn from this experiment?A. There is no statistical evidence of difference in the yields between fertilizer A and fertilizer B (p > 0.15).B. There is a borderline statistically significant difference in the yields between fertilizer A and fertilizer B (0.10 < p < 0.15).C. There is evidence of a statistically significant difference in the yields between fertilizer A and fertilizer B (0.05 < p < 0.10).D. There is evidence of a statistically significant difference in the yields between fertilizer A and fertilizer B (0.01 < p < 0.05).E. There is evidence of a statistically significant difference in the yields between fertilizer A and fertilizer B (p < 0.01).

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Answer:

There is evidence of a statistically significant difference in the yields between fertilizer A and fertilizer B (0.01 < p < 0.05).

Step-by-step explanation:

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