A landscaper is designing a display of flowers for an area in a public park. The flower seeds will be planted at points that lie on a circle that has a diameter of 8 feet. the point where any seed is planted must be 2 feet away from the seeds on either side of it. what is the maximum number of flower seeds that can be planted using the design?
after planting the flower seeds the landscaper has 20 seeds left over. the landscaper wants to plant all of the remaining seeds in another circle so that the seeds are 2 feet apart. what is the diameter of the smallest circle that the landscaper can use to plant all of the remaining seeds?
Answers
In the first circle, 12 seeds can be planted. And to plant 20 seeds, the diameter must be 12.74ft.
What is the maximum number of seeds that can be planted?
We know that the flower seeds will be planted on a circle of diameter of 8ft. The circumference of said circle will be:
C = pi*D = 3.14*8ft = 25.12ft
And each seed is 2ft apart from seeds on the other side, so the maximum number of seeds that can be planted is:
N = 25.12ft/2ft = 12.56
Which must be rounded to 12, as we can't plant a 0.56 of a seed.
Now, we need to find the diameter of a circle such that 20 seeds can be planted there.
To plant 20 seeds, the circumference needed is:
20*2ft = 40ft
Then, for a circle of diameter D, we need that:
3.14*D = 40ft
D = 40ft/3.14 = 12.74ft
The diameter of the circle must be 12.74ft
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Related Questions
If f(x)=ln(x+4+e^(-3x)), then f '(0) =
Answers
If derivative of \(f(x)=ln(x+4+e^{(-3x)})\), then f '(0) = -2/5.
What is derivative?
In calculus, the derivative of a function is a measure of how the function changes as its input changes. More specifically, the derivative of a function at a certain point is the instantaneous rate of change of the function at that point.
To find f'(0), we first need to find the derivative of f(x) with respect to x. Using the chain rule, we get:
\(f'(x) = 1 / (x+4+e^{(-3x)}) * (1 - 3e^{(-3x)})\)
Now we can find f'(0) by substituting the value x=0:
\(f'(0) = 1 / (0+4+e^{(-3(0))}) * (1 - 3e^{(-3(0))})\)
f'(0) = 1 / (4+1) * (1 - 3)
f'(0) = -2/5
Therefore, f'(0) = -2/5.
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Help me pleaseeee the weekends almost over and it’s due like tomorrow :(
Answers
Actually half ques is not visible so
Clare made an error when solving -4x+3<23−4x+3<23.
Answers
The solution of the inequality is,
⇒ x > - 5
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The inequality is,
⇒ - 4x + 3 < 23
Now,
Since, The inequality is,
⇒ - 4x + 3 < 23
Solve as;
⇒ - 4x < 23 - 3
⇒ - 4x < 20
⇒ - x < 5
⇒ x > - 5
Thus, The solution is,
⇒ x > - 5
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A Rice Krispies Treats Recipe calls for 3 cups of
marshmallows and 1/2 box of Rice Krispies
1. How many cups of marshmallows do you need if you are using a box of Rice
Krispies?
A complete answer includes:USE CROSS PRODUCT, All steps for solving the problem
shown, Final answer with correct labels
2. Complete the ratio table based on the Rice Krispies Treats Recipe. Fill out all entries.
3
6
10
18
Cups of
Marshmallows
1/2
8
Boxes of Rice
Krispies
MacBook Pro
Answers
Answer:
1 is the answer have a good day
Point A is reflected about the y-axis. Find A'.
Answers
Answer:(2, 3)
Step-by-step explanation:
Because we are reflecting the point across the y axis, we know that we are changing the X coordinate. Reflecting across in this case, since there is no other given rule means we are changing the current X coordinate to be the negative version of itself, since it is already negative, this makes the new point a positive one.
This can be explained as moving the point across the given axis at the same distance as the original point from the axis, but in the opposite direction. If it is on the left of the axis, we move it the same distance from the axis to the right, and vice-versa.
We do not change the y coordinate, because we are reflecting the point across the Y axis, which is the vertical line that has an x origin of 0.
All of this means that the new coordinate for our point will be (2, 3).
Meredith has two different‐sized bags of trail mix. The larger bag contains 6.18 ounces of trail mix. The smaller bag contains 6.8 ounces of trail mix. Which bag contains more trail mix? Why?
Answers
Answer:
The Larger bag contains more trail mix. Why because the larger bag has 10 more ounces than the smaller bag.
Consider the graph of function g below. A diagonal curve declines from (negative 3, 8), (negative 2, 5), (negative 1, 2), (0, negative 1), (1, negative 4), (2, negative 7), and (3, negative 10) on an x y coordinate plane. Determine which sequences of transformations could be applied to the parent function f(x) = x to obtain the graph of g. shift right 1 unit, reflect over the y-axis, and then vertically stretch by a factor of 3 shift left 2 units, reflect over the x-axis, and then vertically stretch by a factor of 3 reflect over the x-axis, vertically stretch by a factor of 3, and then shift down 1 unit shift right 1 unit, reflect over the x-axis, and then vertically stretch by a factor of 3 shift down 1 unit, reflect over the x-axis, and then vertically stretch by a factor of 3 reflect over the y-axis, vertically stretch by a factor of 3, and then shift down 1 unit
Answers
The option first “shift right 1 unit, reflect over the y-axis, and then vertically stretch by a factor of 3” is correct.
What is linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have a function f(x) = x
The above function represents a linear function.
As we can see in the graph of a function g(x)
f(x) = x
First shift right 1 unit
f(x) = x -1
Then reflect over y-axis
f(x) = -x - 1
Then stretch by a factor of 3
f(x) = -3x - 1
Thus, the option first “shift right 1 unit, reflect over the y-axis, and then vertically stretch by a factor of 3” is correct.
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The diagram shows the locations of the sun, Earth, and the moon. Which of these is possible only when the sun, Earth, and the moon are aligned as shown?
Answers
Answer:
It will experience a low tide because water is drawn away from the area between the high tides.
Explanation:
The oceans on earth bulge outwards towards the sun and moon due to gravitational pull. This building is highest when the moon and sun are in line (same plane). The coastline within this plane will experience high tides while those at the right angle will have the lowest tides.
heyy could you help me out with this question I have been stuck in this question??
Answers
Could I get help with 8-11 please :(
Answers
Answer:
8. m∠1 = 64, m∠2 = 26, m∠3 = 36
9. m∠1 = 73, m∠2 = 58, m∠3 = 107, m∠4 = 49, m∠5 = 131
10. m∠1 = 34, m∠2 = 52, m∠3 = 38, m∠4 = 94, m∠5 = 56, m∠6 = 38
11. m∠1 = 62, m∠2 = 71, m∠3 = 109, m∠4 = 35, m∠5 = 109, m∠6 = 29, m∠7 = 47, m∠8 = 62
Step-by-step explanation:
8. m∠1 = 180 - (75 + 41) = 180 - 116 = 64
m∠2 = 90 - 64 = 26
m∠3 = 90 - 54 = 36
9. m∠3 = 180 - 73 = 107
m∠1 = 73
m∠2 = 180 - (73 + 49) = 180 - 122 = 58
m∠4 = 49
m∠5 = 180 - m∠4 = 180 - 49 = 131
10. m∠6 = 90 - 52 = 38
m∠3 = m∠6 = 38, m∠2 = 52
m∠5 = 180 - (86 + 38) = 180 - 124 = 56
m∠1 = 90 - 56 = 34
m∠4 = 180 - (34 + 52) = 180 - 86 = 94
11. m∠2 = 71
m∠3 = m∠5 = 180 - 71 = 109
m∠1 = 180 - (47 + 71) = 180 - 118 = 62
m∠4 = m∠2 - 36 = 71 - 36 = 35
m∠6 = m∠2 - 42 = 71 - 42 = 29
m∠7 = 47
m∠8 = m∠1 = 62
onsider a population with data values of 12 8 28 22 12 30 14 pictureclick here for the excel data file the population variance is the closest to .
Answers
The population variance is closest to 67.43, hence option C: 67.00, by referring the formula for population variance where N plays the number of data points.
The following gives the formula for population variance:
σ2 = (1 /N) ∑ (xi – μ) 2
Where:
σ2 refers to the population variance.
N refers to the total number of data points
∑ (xi – μ) 2 is the sum of the squared differences between each data point and the mean of the population.
For example, consider a population with data values of 12, 8, 28, 22, 12, 30, 14. The mean of this population is:
12+8+28+22+12+30+14)/7 = 18.
The population variance is calculated as follows:
σ2 = (1/7) [(12-18)2 + (8-18)2 + (28-18)2 + (22-18)2 + (12-18)2 + (30-18)2 + (14-18)2]
= 67.43
Therefore, the population variance is closest to 67.43.
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Complete question is:
Consider a population with data values of 12 8 28 22 12 30 14. The population variance is the closest to:
A. 8.00
B. 8.64
C. 67.00
D. 74.67
witch of the number shown is the least (A 1.3) , (B 1.6, (C 10/9, (D 13/9
Answers
Answer:
C
Step-by-step explanation:
A. 1.3
B. 1.6
C. 1.1
D. 1.4
As you can see, the smallest number is 1.1(C). I found out these decimal points for C and D by dividing the numerator by the denominator.
8 /- 4 heads in 16 tosses is about as likely as 32 /- heads in 64 tosses. a. step 1: compare n, the number of tosses in the two cases. 64 is times more than 16? 8 incorrect. tries 1/4 previous tries b. step 2: since we are counting (summing), the error will be multiplied by how much? tries 0/4 c. thus 8 /- 4 heads in 16 tosses is about as likely as 32 /- heads in 64 tosses. in other words, what is the new se? tries 0/4 50% /- 25% heads in 32 tosses is about as likely as 50% /- % heads in 512 tosses. a. step 1: compare n, the number of tosses in the two cases. 512 is times more than 32? tries 0/4 b. step 2: we are looking at the percent of heads so the error will be divided by how much? tries 0/4 c. 50% /- 25% heads in 32 tosses is about as likely as 50% /- % heads in 512 tosses. (round to 2 decimal places) tries 0/4 50 /- 5 heads in 100 tosses is about as likely as 1250 /- heads in 2500 tosses. hint 1: compare 100 and 2500 hint 2: sum or percent? do you multiply or divide? by what? hint 3: what is the new se? that is what the question is asking for. tries 0/4 50% /- 10 % heads in 8 tosses is about as likely as 50% /- % heads in 72 tosses. (round to 2 decimal places) hint 1: compare 8 and 72 hint 2: sum or percent? do you multiply or divide? by what? tries 0/4
Answers
According to probability, 8 ± 4 heads in 16 tosses is about as likely as 32 ± 8 heads in 64 tosses.
For 8 ± 4 heads in 16 tosses, we can calculate the probability of getting either 4 or 12 heads as follows:
P(X = 4) = ¹⁶C₄ x (1/2)⁴ x (1/2)¹² = 0.088
P(X = 12) = ¹⁶C₁₂ x (1/2)¹² x (1/2)⁴ = 0.088
So, the probability of getting either 4 or 12 heads in 16 tosses is about 0.176 or 17.6%.
In the second part of the question, we are asked to find the number of heads in 64 tosses that is about as likely as 8 ± 4 heads in 16 tosses. To do this, we need to find the mean and standard deviation of the binomial distribution for 64 tosses:
Mean = np = 64 x 1/2 = 32
Standard deviation = √(np(1-p)) = √(64 x 1/2 x 1/2) = 4
Since we are looking for a value that is about as likely as 8 ± 4 heads in 16 tosses, we can use the standard deviation of the binomial distribution to determine the range of values that are likely to occur:
Lower range = 32 - 4 x 2 = 24
Upper range = 32 + 4 x 2 = 40
So, the number of heads in 64 tosses that is about as likely as 8 ± 4 heads in 16 tosses is 32 ± 8. This means that the number of heads could be anywhere between 24 and 40 with about the same probability as getting 8 ± 4 heads in 16 tosses.
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Complete Question:
According to probability, 8 ± 4 heads in 16 tosses is about as likely as 32 ± _____ heads in 64 tosses.
An antique vase increases in value from
£770 to £890.
What is the percentage increase?
Answers
Answer:
16% or 15.5%
Step-by-step explanation:
so just do (890-770)/770
Higher Order Thinking There are 58 red pens and blue pens in a bag. There are more red pens than blue pens. There are at least 36 red pens but no more than 40 red pens. How many of each color could be in a bag?
Answers
Answer:
36 red, 22 blue
37 red, 21 blue
38 red, 20 blue
39 red, 19 blue
40 red, 18 blue
Step-by-step explanation:
Total number of pens: 58
More red pens than blue pens.
At least 36 red pens.
No more than 40 red pens.
Possible number of pens:
36 red, 22 blue
37 red, 21 blue
38 red, 20 blue
39 red, 19 blue
40 red, 18 blue
Quadrilateral ABCD~ Quadrilateral WXYZ, AB= 15, BC= 27, WX= 10
Answers
The scale factor is 3/2. The length of XY is 18.
What are similar Quadrilaterals?
Two figures are said to be similar if they share the same shape. Congruent objects are those that are precisely the same size and shape. Real-world examples of congruent figures or objects include, for instance, both of a person's hands, both of a car's front wheels, etc.
If the corresponding angles and sides of two quadrilaterals are equal, then the two quadrilaterals are similar.
Given that Quadrilateral ABCD is similar to Quadrilateral WXYZ.
Thus
AB/WX = BC/XY = CD/YZ = AD/WZ ....(i)
The length of AB = 15, BC= 27, WX= 10
The scale factor is
AB/WX = BC/XY = CD/YZ = AD/WZ
= 15/10
= 3/2 [Divide the denominator and numerator by 5]
Take first two ratios of (i):
AB/WX = BC/XY
15/10 = 27/XY
3/2 = 27/XY
XY = 27 × (2/3)
XY = 18
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6b³ +16b² -15b-40
Factor
Answers
Answer:
(2\(b^{2}\) - 5) (3b + 8)
Step-by-step explanation:
First factor out 2\(b^{2}\) from the first set of parentheses and -5 from the second
2\(b^{2}\) ( 3b + 8) - 5 (3b + 8)
Next factor out (3b + 8)
(2\(b^{2}\) - 5) (3b + 8)
Kyle ran to the number of laps Taylor ran was 2 to 3.
If Kyle ran 6 laps, how many laps did Taylor run?
Answers
Answer:
9 laps
Step-by-step explanation:
there were x quarts of liquid in a con-tainer. first, 3 4 of the liquid in the container was removed. then another 1 2 quart was poured into the container. write an expression in terms of x for the number of quarts of liquid in the container at the end. then write another equivalent expres-sion.explain
Answers
The another equivalent expression of total liquid is (x+2)/4.
Expressions that perform similarly but differ in appearance are said to be equivalent expressions. When the same value for the variable is entered, two algebraic expressions that are equivalent will have the same result.
x quarts liquid in the container 3/4 part of liquid is removed
Then remaining liquid in container = X - \(\frac{3}{4}X\)
Then remaining liquid in container = x/4quarts
Another 1/2 quart is poured into container
Then total liquid = \(X-\frac{3}{4}X+\frac{1}{2}\) quarts
total liquid = \(\frac{X+2}{4}\) quarts
So, then the another equivalent expression of total liquid is (x+2)/4.
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halp me this question
Answers
one quarter is 25
one dime is 10
one nickel is 5
one penny is 1
25+25+10+10+5+1=76
Answer: It's 76 cents [insert facepalm here]
Step-by-step explanation:
Honestly, if you are in high school and cannot get this correct then that is just sad, but I guess I'll explain anyway.
2 quarters= 50 cents
2 dimes= 20 cents
1 nickel= 5 cents
1 penny= 1 cent
Total= 76 cents
I really don't see how you got 66 cents out of that but whatever.
A bouncy ball is dropped such that the height of its first bounce is 3.75 feet and each successive bounce is 79% of the previous bounce's height. What would be the height of the 7th bounce of the ball? Round to the nearest tenth (if necessary).
Answers
If a bouncy ball is dropped such that the height of its first bounce is 3.75 feet and each successive bounce is 79% of the previous bounce's height. The height of the 7th bounce of the ball is 0.7.
Determining the height of the ballGiven data:
First bounce = 3.75 feet
Successive bounce = 79% or 0.79%
Bounce = 7
Now let determine the height of thee 7th bounce of the ball using this formula
Height = First bounce × (Successive bounce) ^ Number of bounce
Let plug in the formula
Height = 3.75 × (0.79 ) ^7
Height = 0.7
Therefore the height is 0.7.
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Simplify each complex fraction.
1 / 3 / 3 / b
Answers
The complex fraction 1/3/3/b simplifies to b/3.
To simplify the complex fraction 1/3/3/b, we can follow these steps:
Step 1: Start by simplifying the denominator. The denominator here is 3/b.
Step 2: To simplify the denominator, we need to multiply the denominator by its reciprocal. The reciprocal of 3/b is b/3.
Step 3: Now, we can rewrite the complex fraction as 1/3 * b/3.
Step 4: Simplify the numerator and denominator separately. 1/3 cannot be simplified further, but b/3 can be simplified to b.
Step 5: The simplified complex fraction is 1/3 * b = b/3.
Thus, the complex fractions can be multiplied by denominator and simplified by numerator.
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: Prove that a) X'Y' + X'Y +XY = X' +Y b) A'BC' + ABC' + BC'D = BC' Find the complement of the following function a) WX(Y'Z+YZ') + W'X'(Y' +Z)(Y+Z') b) (A+B'+C') (A'B' +C)(A + B'C') Find Dual of question 2 (a, b),
Answers
a) X'Y' + X'Y + XY simplifies to X' + Y.
b) A'BC' + ABC' + BC'D simplifies to BC'.
Complement of the functions:
a) Complement is W' + X' + YZ.
b) Complement is (A' + B + C)(A'B' + C' + A'B).
a) To prove X'Y' + X'Y + XY = X' + Y, we can use Boolean algebra identities:
X'Y' + X'Y + XY
= Y'(X' + X) + XY(Distributive Law)
= Y' + XY(X + X' = 1)
= X' + Y(Commutative Law)
Therefore, X'Y' + X'Y + XY simplifies to X' + Y.
b) To prove A'BC' + ABC' + BC'D = BC', we can simplify the expression using Boolean algebra:
A'BC' + ABC' + BC'D
= BC'(A' + A) + BC'D (Distributive Law)
= BC' + BC'D(A + A' = 1)
= BC'(BC' + BC'D = BC' + BC'(1) = BC')
Hence, A'BC' + ABC' + BC'D simplifies to BC'.
Complement of the given functions:
a) The complement of WX(Y'Z + YZ') + W'X'(Y' + Z)(Y + Z') is W' + X' + YZ.
b) The complement of (A + B' + C')(A'B' + C)(A + B'C') is (A' + B + C)(A'B' + C' + A'B).
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Sams father throws sam a birthday party that costs $350. he pays the dj $150 $50 for the cake and $3 per party guest for food. how many guests were at the party? don't forget to count john and his father
Answers
By the concept of basic arithmetic 50 guests were at the party.
What is basic arithmetic?The basic operations in mathematics are addition, subtraction, multiplication, and division. They can be used with both real and fictitious numbers, which can be shown on a number line. One area of mathematics called arithmetic works with different kinds of numbers, such as odd numbers, whole numbers, and even numbers, among others. The addition, subtraction, multiplication, and division operations are the four basic operations in arithmetic. Addition (Finding the Sum; "+"), Subtraction (Finding the Difference; "-"), Multiplication (Finding the Difference, and Division (Finding the Difference); are the four fundamental arithmetic operations in mathematics for all real numbers. Removing (finding the difference; "-" Finding the product in multiplication (") Calculating the quotient (division) The fundamental operations in mathematics are addition, subtraction, multiplication, and division.
Fractions, decimals, percentages, fractions, square roots, exponents,
Total expense for the party = $350
Another cost apart from plates = $200
Cost per party guest for food = $150
Number of people = 150/3
= 50 people
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Find the first three common
multiples of 9, 12 and 18
Answers
Answer:
Step-by-step explanation:
9 = 9 , 18 , 27 , 36 , 45 , 54 , 63 , 72, 81 , 90 , 99 , 108....
12 = 12 , 24 , 36 , 48 , 60, 72 , 84 , 96 , 108, ......
18 = 18 , 36 , 54 , 72 , 90 , 108 .....
First three common multiples of 9, 12 and 18 : 36 , 72 , 108
If you calculate sle to be $25,000 and that there will be one occurrence every four years (aro), then what is the ale?
Answers
If you calculate SLE to be $25,000 and that there will be one occurrence every four years (ARO), then the ALE is $40,000.
What is Single-loss expectancy (SLE)?A expected monetary decline each moment an asset is at risk is referred to as single-loss expectancy (SLE). It is a term that is most frequently used during risk analysis and attempts to assign a monetary value to each individual threat.
Quantitative risk analysis predicts the likelihood of certain risk outcomes as well as their approximate monetary cost using relevant, verifiable data.
IT professionals must consider a wide range of risks, including the following:
Errors caused by humansCyber attacks, unauthorised data disclosure, or data misuse are examples of hostile action.Errors in applicationSystem or network failuresPhysical harm caused by fire, natural disasters, or vandalism.To know more about the Single-loss expectancy (SLE), here
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3^x/3^y = 81
What is x - y?
Answers
Answer:
x - y = 4
Explanation:
I hope it's correct
answer:
x - y = 4
explanation:
\(\rightarrow \boxed{\frac{3^x}{3^y} = 81}\)
\(\rightarrow \boxed{3^{x-y} = 81}}\)
\(\rightarrow \boxed{3^{x-y} = 3^4}}\)
\(\rightarrow \boxed{x-y = 4}\)
In thi coordinate plane, the ditance between each gridline repreent 1 mile. What i the ditance, in mile, between the library and the chool? You can ue the coordinate plane to help you find the anwer by plotting the two point
Answers
The distance between the library and the school using the coordinates plane is 7.28 miles.
A coordinate plane is a two-dimensional plane which is formed by the intersection of two number lines - a horizontal number line called the x-axis and is a vertical number line called the y-axis. It is a graphing and description system for points and lines. On the provided coordinate plane, the coordinate of the library is (-3,3) and the coordinate of the school is (4, 1).
The distance formula between two coordinates is given by:
d =√((x2 – x1)^2 + (y2 - y1)^2)
Using the distance formula, the distance between the library and the school are:
d =√((-3 – 4)^2 + (3 - 1)^2)
d =√((-7)^2 + (2)^2)
d =√((-7)^2 + (2)^2)
d =√(49 + 4)
d =√53
d = 7.28 miles
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The cost of a school banquet is $90 for the room rental and $14 per person attending. Write an expression to model the total cost of the banquet for p people. What is the cost for 70 people?
Answers
Answer:
Total Cost (p) = 90 + 14p
For 70 people = $1070
Step-by-step explanation:
Let p stand for the number of people attending the banquet
Fixed cost = $90
Variable cost = $14p
Total Cost (p) = 90 + 14p
=================
Cost for 70 people (p=70)
Total Cost = $90 + $14(70)
Total = $1070
maximum contaminant levels (mcls) are regulations on water quality set by the united states environmental protection agency. researchers measured the chloramines mcls (in mg/l) of water samples from random locations of each of two wells. the data are given below. sample size sample mean sample sd well a 15 3.7 0.3 well b 19 3.4 0.6 assume normal populations with equal variance and construct a 95% confidence interval for the difference in mean mcls levels. find the upper bound of the confidence interval (round off to second decimal place).
Answers
Therefore , 95% confidence interval for the difference in mean mcls levels is 95% C.I = {4.0978 , 3.1423}.
What is confidence interval ?In frequentist statistics, a confidence interval is a range of estimates for an unobserved parameter. The most frequent confidence level is 95%, while other levels, such 90% or 99%, are occasionally used for computing confidence intervals.
Here,
Given:
c= 1.95 M.E = 0.5 ,n=?,C.V=1.96
Using formula,
=> M.E = C.V + \(\frac{c}{\sqrt{n} }\)
=> 0.5 = 1.96 + 1.95/\(\sqrt{n}\)
=> 0.5 = 3.822/\(\sqrt{n}\)
=> \(\sqrt{n}\) = 3.822/0.5
=> \(\sqrt{n}\) = 7.644
=> n =58.43
=> n ≈ 58
So, n = 64 , \(x^{'}\)=3.62,α=1.95
=> u = \(x^{'}\) ± C.V * α/\(\sqrt{n}\)
=> u = 3.62 ± 1.96 * 1.95/√64
=> u = 3.62 ± 0.47775
=> u = 3.62+ 0.47775 = 4.0978
or u=3.62-0.47775 = 3.1423
95% C.I = {4.0978 , 3.1423}
Therefore , 95% confidence interval for the difference in mean mcls levels is 95% C.I = {4.0978 , 3.1423}.
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