A cookie recipe uses 3 cups of flour to make 15 cookies how many cookies. how many cookies can you make with this recipe with 4 cups of flou?

Answer:

B

Step-by-step explanation:

24/30 = 4/5

8/10 = 4/5

Answer B

Answer:

B. 24 inches by 30 inches

Step-by-step explanation:

Since the poser is similar to a rectangle measuring 8 in. by 10 in., we have to find which solution has the same proportions.

When simplified, 8/10 = 4/5. That is our proportion.

A) 2/2 does not equal 4/5

B) 24/30 (when simplified) = 4/5

B is our right answer because when 8 is multiplied by 3, you get 24 and when 10 is multiplied by 3 as well (both multiplied by the same number to keep the proportions the same) you will get 30.

For the given frequency distribution of waterfall heights for , the mean is 309.18 feet , the variance is 37027.9 feet and standard deviation is 192.42 feet.

A frequency distribution table is one way to organise data to make it more understandable. The frequency of an event tells you how frequently it occurs. The frequency of an observation indicates how frequently the observation occurs in the data.

Given,

number of sample, N=27

First we need to calculate the mid-values of class boundaries by formula,

\(x=\frac{L.L+U.L}{2}\)

Where, L.L = lower limit and U.L=upper limit of the class boundaries

\(x=\frac{55.5+188.5}{2}=122\)

similarly, calculate 'x' for all class boundaries.

Now, multiply frequency, f and x

\(\begin{center}\begin{tabular}{ c c c c c c c}class\ boundaries & frequency & x&fx & (x-\overline x) & (x-\overline x)^2 & f(x-\overline x)^2\\55.5-188.5& 8 &122&976 & -187.18 & 35036.35 & 280290.8\\\\188.5-321.5& 11&255&2805 & -54.18 & 2935.47 & 32290.17\\\\321.5-454.5& 2&388&776 & 78.82 & 6212.59 & 12425.18\\\\454.5-587.5& 2&521&1042 & 211.82 & 44867.71 & 89735.4\\\\587.5-720.5&3&654&1962 & 344.82 & 118900.83 & 356702.4\\\\720.5-853.5&1&787&787&477.82&228311.95&228311.9\\\\ \end{tabular}\end{center}\)

Mean can be determined by formula,

\(\overline x=\frac{ \sum fx}{N}\\\\\overline x = \frac{976+2805+776+1042+1962+787}{27}\\\\\overline x = 309.18\)

Variance can be calculate by formula,

\(S^2=\frac{\sum f(x- \overline x)^2}{\sum f}\\\\S^2=\frac{280290.8+32290.17+...+228311.9}{27}=37027.99\)

Standard deviation can be calculated by formula,

\(S=\sqrt{37027.99}=192.42\)

Hence, the mean, variance and standard deviation of the sample of waterfall heights are 309.18 ft, 37027.99 ft and 192.42 ft respectively.

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Your question is incomplete, here is the complete question

The frequency distribution shows a sample of the waterfall heights, in feet, of 27 waterfalls. find the variance and standard deviation for the data. round your answers to at least one decimal place.

\(\begin{center}\begin{tabular}{ c c}class\ boundaries & frequency\\55.5-188.5& 8\\188.5-321.5& 11\\321.5-454.5& 2\\454.5-587.5& 2\\587.5-720.5& 3\\720.5-853.5 &1\\\end{tabular}\end{center}\)

Ans: 55°

Let's draw two parallel line intersecting angle x° and 45° as shown in the photo.

i) a=25° [Being Alternative Angle]

ii) d=15° [Being Alternative Angle]

iii) c= 45°-d[45°=c+d]

=45°-15°

=30°

iv)b=c[Being Alternative Angle]

v)x=a+b[Combining Angle a & b]

=25°+30°

=55°

The centroid of the region bounded by y=2x^2-9x, y=0, x=0 and x=7 is (3.5, -11.375/14).

To find the centroid, we need to calculate the area of the region and the x and y coordinates of the centroid.

First, we find the intersection points of the parabola y=2x^2-9x with the x-axis, which are x=0 and x=4.5.

The area of the region is then given by the definite integral of the parabola between x=0 and x=4.5:

A = ∫0^4.5 (2x^2-9x) dx = [2/3 x^3 - 9/2 x^2]0^4.5 = 81/4

Next, we use the formulas for the x and y coordinates of the centroid:

x = (1/A) ∫yxdA, y = (1/2A) ∫y^2dA

where yx and y^2 are the distances from the centroid to the x-axis and y-axis, respectively.

For the x coordinate, we have:

x = (1/A) ∫yxdA = (1/A) ∫0^4.5 x(2x^2-9x) dx = 9/8

For the y coordinate, we have:

y = (1/2A) ∫y^2dA = (1/2A) ∫0^4.5 (2x^2-9x)^2 dx = -11.375/14

Therefore, the centroid of the region is (3.5, -11.375/14).

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The measure of ∡KJR is 69°.

What is the sum of two supplementary angles?
Two angles are referred to as supplementary angles if their combined value is 180°. A straight angle is created when supplementary angles are combined (180°).
In other words, ∡A and ∡B are supplementary if ∡A plus ∡B equals 180°. Angles A and B are described as "supplements" of one another in this context.
In math, A° + B° = 180°.

Given, m∡RJI = 12x - 3, m∡KJR = 6x - 5, m∡KJI = 172°
As seen from diagram, m∡RJI + m∡KJR = m∡KJI
⇒ (12x-3)+(6x-50) = 172° ⇒ 18x - 53 = 172° ⇒ x = ([172 + 53]/18)° = 12.5°
Therefore, the value of x = 12.5°
Thus, m∡KJR = 6x - 5 = (6*12.5) - 5 = 69°

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The volume of the solid formed by revolving D about the line y = -3 is: V = π(125/2 + 20√5)Note: Please note that the equation of the parabolic curve is missing its exponent. I have assumed that the equation is y = √x. If the exponent is different, the solution will be different.

We have given a region D under the parabolic y = √ on the interval [0, 5].The region D is shown below:The region D is rotated about the line y = -3. We have to determine the volume of the solid formed by W revolving D about the line y = −3. We can solve this problem by using the washer method. The washer method is a method to find the volume of a solid formed by the revolution of the region bounded by two curves.

The washer generated by rotating this slice about the line y = -3 is shown below: The volume of this washer can be found as: V = π(R² - r²)h where R and r are the outer and inner radii, and h is the thickness of the washer. . The top curve of D is y = √x. So, R = -3 - √x The inner radius r is the distance from the line y = -3 to the bottom curve of D. The bottom curve of D is y = 0. So, r = -3The thickness of the washer is dx. So, h = dx The volume of the washer is given by: V = π(R² - r²)h= π((-3 - √x)² - (-3)²) dx= π(x + 6√x) dx Now, we can find the total volume of the solid by integrating the above expression from x = 0 to x = 5. That is,V = ∫₀⁵ π(x + 6√x) dx= π ∫₀⁵ (x + 6√x) dx= π [x²/2 + 4x√x]₀⁵= π[(5²/2 + 4(5√5)) - (0²/2 + 4(0))] = π(125/2 + 20√5).

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Answer

y = 32

Step-by-step explanation:

Let's solve your equation step-by-step.

0.3y+0.4(25−y)=6.8

Step 1: Simplify both sides of the equation.

0.3y+0.4(25−y)=6.8

0.3y+(0.4)(25)+(0.4)(−\(\frac{-0.1y}{-0.1} =\frac{-3.2}{-0.1}\)y)=6.8(Distribute)

0.3y+10+−0.4y=6.8

(0.3y+−0.4y)+(10)=6.8(Combine Like Terms)

−0.1y+10=6.8

−0.1y+10=6.8

Step 2: Subtract 10 from both sides.

−0.1y+10−10=6.8−10

−0.1y=−3.2

Step 3: Divide both sides by -0.1.

-0.1y/-0.1=-3.2/-0.1

y=32

I hope this helps?

Answer:

The slope is -3/2

Step-by-step explanation:

Hope this helped have a good day!

Answer:

4. 3/10

Step-by-step explanation:

I believe it would be answer 4 because there are 10 coins in all and 3 pennies, making the ratio 3:10

Answer:

False

Step-by-step explanation:

32 + 6 - 31 = 7 not -7

Answer:

32+6-31 does not equal -7

Step-by-step explanation:

32+6=38

38-31=7

Hope this helps

To solve a stoichiometry problem, the first thing you must do is identify the given and desired quantities. This involves understanding the balanced chemical equation and determining the substances involved.

Stoichiometry is the quantitative relationship between reactants and products in a chemical reaction. The given quantities are the information provided in the problem, such as the mass, volume, or moles of a particular substance. The desired quantity is what you are trying to find. By identifying these quantities, you can determine the appropriate conversion factors and set up the necessary calculations to solve the problem.

For example, if the problem gives you the mass of a reactant and asks for the volume of a product, you would start by identifying the given mass and the desired volume. From the balanced chemical equation, you can determine the molar ratio between the reactant and product. This ratio allows you to convert the given mass to moles, and then use the molar ratio to convert moles of the reactant to moles of the product. Finally, you can convert the moles of the product to the desired volume using the appropriate conversion factor, such as the molar volume of a gas at a given temperature and pressure.

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Answer:

The circumference is 50.24 in

Step-by-step explanation:

The circumference formula is C = 2πr where C = Circumference, π = pi and r = radius. We know that r = 8 and π = 3.14 and that we're solving for C, so we can substitute those values into the equation to get C = 2 * 3.14 * 8 = 50.24 in.

X=4

Please mark brainliest

The correct answer is option (D) "The graph shifts 7 units right and 8 units down".Explanation:To solve the given question, we need to use the rules for vertical and horizontal shifts, which are as follows:

Vertical Shift: y=f(x)+a moves the graph of f(x) upward if a > 0 and downward if a < 0.Horizontal Shift: y=f(x+a) moves the graph of f(x) left if a > 0 and right if a < 0.Now, let's transform the function f(x) into function g(x) and determine the shift required.The transformation of f(x) to g(x) is: g(x) = f(x - a) + bwhere a = horizontal shift and b = vertical shiftThe equation of the given functions is:f(x) = 1/(x − 2) and g(x) = 1/(x^(5/9))Let's set the equation of function f(x) in the standard form:y = 1/(x - 2)and the equation of function g(x) in the standard form:y = 1/(x^(5/9))

Now, we can observe that:To transform the graph of f(x) onto the graph of g(x), we need to shift the graph of f(x) right by 7 units and down by 8 units, which is given in option (D).Hence, the correct option is (D) "The graph shifts 7 units right and 8 units down".

The graph shifts 7 units right and 8 units down is the statement that describes the transformation of the graph of function f onto the graph of function g.Conclusion:Thus, we have determined the correct answer with an explanation and concluded that the correct option is (D) "The graph shifts 7 units right and 8 units down".

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Yes the miles driven and the amount of gasoline used can be said to have a causation as well as a correlation.

The strength and direction of a relationship between two or more variables are described by the statistical measure of correlation, which is given as a number. However, a correlation between two variables does not necessarily imply that a change in one variable is the reason for a change in the values of the other.

There is a causal relationship between the two occurrences, which means that causation shows that one event is the outcome of the occurrence of the other event. This concept is also known as cause and effect.

When the amount of gasoline is small, it would cause the miles covered to be just a few miles. Or if there is no gas, then no mile would be covered.

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Answer:

It is better to buy 20 g of flour 3 for 3.50

Step-by-step explanation:

It is given that 20g of 3 for 3.50

It means 3 packets of 20 g is 3*20 =60

So, 60g  is for 3.50

So, 1 g =\(\frac{3.5}{60}\)=0.05833 per gram.

Now, let's find unit rate for 40 g of 2 for 9.

2 packets of 40 gram = 2* 40 =80 grams

So, 80 grams costs 9

So, 1 gram =\(\frac{9}{80}\) =0.1125

So, it is better to buy 20 g of flour 3 for 3.50

Answer:

a. The graph is concave up in the interval 0 ≤ x ≤ +∞

b. The graph is concave down in the interval -∞ ≤ x ≤ 0

To answer the question, we need to know what intervals are

Intervals are range of values in which a function is valid. It can either be the range of values of input or output of the function.

From the graph, we see that the function is concave up in the interval 0 ≤ x ≤ +∞

So, the graph is concave up in the interval 0 ≤ x ≤ +∞

From the graph, we see that the function is concave down in the interval -∞ ≤ x ≤ 0

So, the graph is concave down in the interval -∞ ≤ x ≤ 0

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Answer:

Mean:

10.5+9.2+0+9.3+10.4+9.2=48.6

48.6 divded by 6 =8.1

Median is 9.3

Mode is 9.2

Step-by-step explanation:

The answer of the given question based on expression is  the value of p that satisfies the given condition is -2.

The binomial theorem is a fundamental concept in algebra that provides a formula for expanding expressions of the form (a + b)ⁿ, where n is a non-negative integer and a and b are real numbers. The formula is as follows:

(a + b)ⁿ = C(n, 0)aⁿ b⁰ + C(n, 1)a⁽ⁿ⁻¹⁾ b¹ + ... + C(n, r)a⁽ⁿ⁻r⁾ b^r + ... + C(n, n)a⁰bⁿ

The binomial theorem states that the nth power of a binomial can be expanded as the sum of the products of each term in the binomial raised to a power and the corresponding binomial coefficient. The binomial coefficient represents the number of ways of choosing r objects from a set of n objects, and is often denoted by "n choose r" or written as a combination symbol, (nCr).

We can use the binomial theorem to expand the given expression as:

(2-3px) (4x⁴ + 5x₃ - x) = 8x⁴ + 10x³ - 2x - 12px⁵ - 15px⁴ + 3px²

To find the coefficient of x⁴ in this expansion, we need to look at the terms that contain x⁴. There are two such terms: 8x⁴ and -15px⁴. Therefore, the coefficient of x⁴ is 8 - 15p.

We are given that this coefficient is 38, so we can set up the equation:

8 - 15p = 38

Solving for p, we get:

-15p = 30

p = -2

Therefore, the value of p that satisfies the given condition is -2.

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Answer: True

Step-by-step explanation: because bias can lead to personal errors

The greatest of the 4 consecutive integers with a sum of -278 is -68

Let n, n + 1, n + 2 and n + 3 be four consecutive integers.

The sum of four consecutive integers is -278.

⇒ n + (n + 1) + (n + 2) + (n + 3) = -278

⇒ n + n + n + n + 1 + 2 + 3 = -278

⇒ 4n + 6 = -278

⇒ 4n = -278 - 6

⇒ 4n = -284

⇒ n = -284/4

⇒ n = -71

So, the consecutive integers would would be:

n = -71

n + 1 = -70

n + 2 = -69

n + 3 = -68

here, the greatest of the 4 integers is -68

Therefore, the greatest of the 4 consecutive integers with a sum of -278 is -68

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The coordinates of the centroid are the average values of the \(x\)- and \(y\)-coordinates of the points \((x,y)\) that belong to the region. Let \(R\) denote the bounded region. These averages are given by the integral expressions

\(\dfrac{\displaystyle \iint_R x \, dA}{\displaystyle \iint_R dA} \text{ and } \dfrac{\displaystyle \iint_R y \, dA}{\displaystyle \iint_R dA}\)

The denominator is just the area of \(R\), given by

\(\displaystyle \iint_R dA = \int_0^8 \int_{\min(8\sin(2x), 8\cos(2x))}^{\max(8\sin(2x),8\cos(2x))} dy \, dx \\\\ ~~~~~~~~ = \int_0^8 |8\sin(2x) - 8\cos(2x)| \, dx \\\\ ~~~~~~~~ = 8\sqrt2 \int_0^8 \left|\sin\left(2x-\frac\pi4\right)\right| \, dx\)

where we rewrite the integrand using the identities

\(\sin(\alpha + \beta) = \cos(\alpha)\cos(\beta) + \sin(\alpha)\sin(\beta)\)

Now, if

\(8(\cos(2x) - \sin(2x)) = R \sin(2x + \alpha) = R \sin(2x) \cos(\alpha) + R \cos(2x) \sin(\alpha)\)

with \(R>0\), then

\(\begin{cases} R\cos(\alpha) = 8 \\ R\sin(\alpha) = -8 \end{cases} \implies \begin{cases}R^2 = 128 \\ \tan(\alpha) = -1\end{cases} \implies R=8\sqrt2\text{ and } \alpha = -\dfrac\pi4\)

Find where this simpler sine curve crosses the \(x\)-axis.

\(\sin\left(2x - \dfrac\pi4\right) = 0\)

\(2x - \dfrac\pi4 = n\pi\)

\(2x = \dfrac\pi4 + n\pi\)

\(x = \dfrac\pi8 + \dfrac{n\pi}2\)

In the interval [0, 8], this happens a total of 5 times at

\(x \in \left\{\dfrac\pi8, \dfrac{5\pi}8, \dfrac{9\pi}8, \dfrac{13\pi}8, \dfrac{17\pi}8\right\}\)

See the attached plots, which demonstrates the area between the two curves is the same as the area between the simpler sine wave and the \(x\)-axis.

By symmetry, the areas of the middle four regions (the completely filled "lobes") are the same, so the area integral reduces to

\(\displaystyle \iint_R dA \\\\ ~~~~ = 8\sqrt2 \left(-\int_0^{\pi/8} \sin\left(2x-\frac\pi4\right) \, dx + 4 \int_{\pi/8}^{5\pi/8} \sin\left(2x-\frac\pi4\right) \, dx \right. \\\\ ~~~~~~~~~~~~~~~~~~~~ \left. - \int_{17\pi/8}^8 \sin\left(2x-\frac\pi4\right) \, dx\right)\)

The signs of each integral are decided by whether \(\sin\left(2x-\frac\pi4\right)\) lies above or below axis over each interval. These integrals are totally doable, but rather tedious. You should end up with

\(\displaystyle \iint_R dA = 40\sqrt2 - 4 (1 + \cos(16) + \sin(16)) \\\\ ~~~~~~~~ \approx 57.5508\)

Similarly, we compute the slightly more complicated \(x\)-integral to be

\(\displaystyle \iint_R x dA = \int_0^8 \int_{\min(8\sin(2x), 8\cos(2x))}^{\max(8\sin(2x),8\cos(2x))} x \, dy \, dx \\\\ ~~~~~~~~ = 8\sqrt2 \int_0^8 x \left|\sin\left(2x-\frac\pi4\right)\right| \, dx \\\\ ~~~~~~~~ \approx 239.127\)

and the even more complicated \(y\)-integral to be

\(\displaystyle \iint_R y dA = \int_0^8 \int_{\min(8\sin(2x), 8\cos(2x))}^{\max(8\sin(2x),8\cos(2x))} y \, dy \, dx \\\\ ~~~~~~~~ = \frac12 \int_0^8 \left(\max(8\sin(2x),8\cos(2x))^2 - \min(8\sin(2x),8\cos(2x))^2\right) \, dx \\\\ ~~~~~~~~ \approx 11.5886\)

Then the centroid of \(R\) is

\((x,y) = \left(\dfrac{239.127}{57.5508}, \dfrac{11.5886}{57.5508}\right) \approx \boxed{(4.15518, 0.200064)}\)

The probability that a group of four siblings includes all XY is 1/16 (6.5%), while the probability all XX offspring is 1/16 (6.5%). It is a simple genetic probability calculation.

Genetic probabilities and chromosomes

Females inherit two chromosomes X, whereas males inherit one chromosome X and one chromosome Y.

The probabilities of inherent two chromosomes X (females) are 1/2 (50%), while the probabilities of inherent one chromosome X and one chromosome Y (males) are also 1/2.

In consequence, the probability that a group of four siblings includes all XY is 1/16 (because it is equal to 1/2 x 1/2 x 1/2 x 1/2 = 1/16), the same for the probability all XX offspring (1/16).

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The hypothesis among the given options is Option (4) "The number of hours college students play video games will inversely correlate with their overall GPA."

A hypothesis is a statement that proposes a possible explanation for a particular phenomenon or relationship between two or more variables. It is an assumption that can be tested using scientific methods, and it helps to guide research and experimentation. A hypothesis usually takes the form of a testable prediction or an assertion about a cause-and-effect relationship.

Option 4) "The number of hours college students play video games will inversely correlate with their overall GPA" is an example of a hypothesis. A hypothesis is a testable statement that predicts a relationship between two or more variables. In this case, the hypothesis predicts an inverse correlation between the number of hours played of video games and the overall GPA of college students.

Therefore, the correct option is (4) The number of hours college students play video games will inversely correlate with their overall GPA

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Answer:

if all you want is a multiple of 5 then here are a few; 5, 10, 15, and 20

Step-by-step explanation:

a multiple of 5 is any number that 5 can go into without having a remainder. it's the same for all numbers.

A differential equation with some initial conditions is used to solve an initial value problem.

The required particular solution is given by the relation:

\($4y^{(3/2)} = 9e^{(-2x/3)} + 23\)

An initial value problem in multivariable calculus is an ordinary differential equation with an initial condition that specifies the value of the unknown function at a given point in the domain. In physics or other sciences, modeling a system frequently entails solving an initial value problem.

Let the given equation be \($y^{1/2} dy\ dx y^{3/2} = 1\), y(0) = 9

\($(\sqrt{y } ) y^{\prime}+\sqrt{(y^3\right\left) }=1\) …..(1)

Divide the given equation (1)  by \($\sqrt{ y} $\)  giving

\($y^{\prime}+y=y^{(-1 / 2)} \ldots(2)$\), which is in Bernoulli's form.

Put \($u=y^{(1+1 / 2)}=y^{(3 / 2)}$\)

Then \($(3 / 2) y^{(1 / 2)} \cdot y^{\prime}=u^{\prime}$\).

Multiply (2) by \($\sqrt{ } y$\) and we get

\(y^{(1 / 2)} y^{\prime}+y^{(3 / 2)}=1\)

(2/3) \(u^{\prime}+u=1$\) or \($u^{\prime}+(3 / 2) y=3 / 2$\),

which is a first order linear equation with an integrating factor

exp[Int{(2/3)dx}] = exp(2x/3) and a general solution is

\(u. $e^{(2 x / 3)}=(3 / 2) \ln \[\left[e^{(2 x / 3)} d x\right]+c\right.$\)  or

\(\mathrm{y}^{(3 / 2)} \cdot \mathrm{e}^{(2x / 3)}=(9 / 4) \mathrm{e}^{(2x / 3)}+{c}\)

To obtain the particular solution satisfying y(0) = 4,

put x = 0, y = 4, then

8 = (9/4) + c

c = (23/4)

Hence, the required particular solution is given by the relation:

\($4y^{(3/2)} = 9e^{(-2x/3)} + 23\)

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Answer:

Hey there! The answer to your question is 21,300

Step-by-step explanation:

If we look at the 253 it is most close to 300 not 200 so the answer will be 21,300

Hope that helps!

By: xBrainly

(a)The percent chance of winning if you buy one ticket is 1.1%.

(b) the percent chance of winning at least one ticket is 100% - 97.8% = 2.2%.

(c)the percent chance of winning at least one ticket is 100% - 93.3% ≈ 6.7%.

The probability of winning a raffle ticket is calculated by dividing the number of winning tickets by the total number of tickets. In this case, we know that 1.1% of the tickets are winners.

a) When you buy one ticket, your chance of winning is the same as the percentage of winners, which is 1.1%.

b) If you buy two tickets, you can calculate the chance of winning at least one of the tickets by finding the probability of not winning both tickets and subtracting it from 100%. The probability of not winning one ticket is 98.9% (100% - 1.1%). Therefore, the probability of not winning both tickets is (98.9%)*(98.9%) = 97.8%. Subtracting 97.8% from 100% gives us the chance of winning at least one ticket, which is 2.2%.

c) Similarly, for six tickets, we calculate the probability of not winning all six tickets. The probability of not winning one ticket is 98.9%, so the probability of not winning all six tickets is (98.9%)^6 ≈ 93.3%. Subtracting 93.3% from 100% gives us the chance of winning at least one ticket, which is approximately 6.7%.

Therefore, as you increase the number of tickets you buy, your chances of winning increase, but they are still dependent on the overall percentage of winning tickets in the barrel.

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