What fraction is shape C shaded?

No, the presence of an effect does not necessarily imply that error variance will go away.

The presence of an effect does not necessarily imply that error variance will go away. In fact, error variance is an inherent part of any statistical model and represents the amount of variation in the response variable that is not explained by the predictor variables.

Even if a predictor variable has a significant effect on the response variable, there may still be some unexplained variation in the response that is attributable to error variance.

It is important to take into account and control for error variance in any statistical analysis, as it can affect the precision and accuracy of the estimates of the model parameters and can also influence the interpretation of the results.

One way to control for error variance is to use appropriate statistical methods, such as analysis of variance (ANOVA), regression analysis, or other modeling techniques that take into account the variability in the data.

Learn more about error variance

brainly.com/question/31592090

#SPJ11

Two questions about systems aaa and bbb, the given system is:

System aaa: x = -1/3 and y = -7/3
System bbb: x = -1/3 and y = -7/3

To answer two questions about systems aaa and bbb, let's first clarify the given system:

System aaa:
x - 4y = 9

System bbb:
2x + y = -3

Question 1: Solve system aaa.
To solve system aaa, we'll use the method of substitution:

Step 1: Solve one equation for one variable.
From the first equation in system aaa, we can isolate x:
x = 4y + 9

Step 2: Substitute the expression from Step 1 into the other equation.
Substitute the expression for x in the second equation of system aaa:
2(4y + 9) + y = -3

Step 3: Simplify and solve for y.
8y + 18 + y = -3
9y + 18 = -3
9y = -3 - 18
9y = -21
y = -21/9
y = -7/3

Step 4: Substitute the value of y into the expression for x.
Using the first equation in system aaa:
x - 4(-7/3) = 9
x + 28/3 = 9
x = 9 - 28/3
x = (27 - 28)/3
x = -1/3

Therefore, the solution to system aaa is x = -1/3 and y = -7/3.

Question 2: Solve system bbb.
To solve system bbb, we'll use the method of substitution:

Step 1: Solve one equation for one variable.
From the second equation in system bbb, we can isolate y:
y = -2x - 3

Step 2: Substitute the expression from Step 1 into the other equation.
Substitute the expression for y in the first equation of system bbb:
x - 4(-2x - 3) = 9

Step 3: Simplify and solve for x.
x + 8x + 12 = 9
9x + 12 = 9
9x = 9 - 12
9x = -3
x = -3/9
x = -1/3

Step 4: Substitute the value of x into the expression for y.
Using the second equation in system bbb:
y = -2(-1/3) - 3
y = 2/3 - 3
y = 2/3 - 9/3
y = -7/3

Therefore, the solution to system bbb is x = -1/3 and y = -7/3.

To learn more about variable

https://brainly.com/question/28248724

#SPJ11

Answer:

Step-by-step explanation:

4=3

Answer:

88

Step-by-step explanation:

If you count by 2 backward from 100 6 times you get 88

Then the probability of randomly choosing a student with one sibling is:

P =  0.42

To get this probability, we need to take the quotient between the number of students that have a sibling and the total number of students.

On the table we can see that there are:

2 + 7 + 4 + 13 = 26 students in total.

And of these, the ones that have one sibling are:

7 students with only one sister

+

4 students with only one brother.

7 + 4 = 11

Then the probability of having one sibling is:

P = 11/26 = 0.42

Learn more about probability at:

https://brainly.com/question/25870256

#SPJ1

Infinitely many position vectors with length 2 in xyz-space are orthogonal to the nonzero position vector v. (D)

A position vector in xyz-space is a vector that starts at the origin and ends at a point in xyz-space. The length of a position vector is the distance from the origin to the point it ends at.

If we want to find position vectors with length 2 that are orthogonal (perpendicular) to a given nonzero position vector v, we can use the dot product.

Let w be a position vector with length 2 that is orthogonal to v. Then, the dot product of v and w must be zero, since they are orthogonal. That is, v · w = 0. Since the length of w is 2, we can write w as 2u for some unit vector u. Thus, v · w = v · (2u) = 2(v · u) = 0.

This means that v and u are orthogonal as well, since the dot product of two vectors is zero if and only if they are orthogonal.

There are infinitely many unit vectors u that are orthogonal to v, and therefore, there are infinitely many position vectors with length 2 that are orthogonal to v. Therefore, the answer is (d) infinitely many.

To know more about dot product click on below link:

https://brainly.com/question/29097076#

#SPJ11

The probability that more than 50 inspections are required before one with the defect is found is very low , approximately 1.05 x 10^-9.

We can use a geometric distribution to model the number of cars that need to be inspected before one with the defect is found. Since the probability of finding a car with the defect is p = 0.4, the probability of not finding a car with the defect on a given inspection is q = 1 - p = 0.6.

Let's define the random variable X as the number of inspections required until one with the defect is found. The PMF of the geometric distribution is:

P(X = k) = q^(k-1) * p

where k is the number of inspections required.

To find the probability that more than 50 inspections are required, we need to calculate the cumulative probability:

P(X > 50) = Σ(k=51 to ∞) P(X = k)

Using the PMF of the geometric distribution, we get:

P(X > 50) = Σ(k=51 to ∞) q^(k-1) * p

This sum can be simplified using the formula for the sum of an infinite geometric series:

P(X > 50) = q^50 * p / (1 - q)

Substituting in the values of p = 0.4 and q = 0.6, we get:

P(X > 50) = 0.6^50 * 0.4 / 0.4 = 0.6^50

Using a calculator or software, we can calculate that this probability is approximately 1.05 x 10^-9, which is a very small probability.

To learn more about probability click on,

https://brainly.com/question/28751704

#SPJ4

Complete question is:

Of the automobiles produced at a particular plant, 40% had a certain defect. what is the probability that more than 50 cars will need to be inspected before one with the defect is found?

Yes, this relation is a function and here the domain and range are:

domain = {3,6,2,-7} and range ={0,-2,-1,0}

Domain and Range:

The domain and scope of a function are part of the function. The domain is the set of all input values ​​of a function, and the range is the possible outputs given by the function. Field → Function → Sequence. If there is a function f : A → B such that each element of set A corresponds to an element of set B, then A is the field and B is the codomain. The graph of an element "a" under a relation R is given by "b", where (a,b) ∈ R.

The scope of the function is the set of images. The domain and range of a function are usually expressed as:

Domain(f) = {x ∈ R: State} and range(f)={f(x): x ∈ domain(f)}

According to the Question:

The given function is:

{(3,0),(6,-2),(2,-1),(-7,0)}

It is a function as every input has a single output.

So, 3,6,2,-7 are the elements of the domain of the given relation.

Here domain = {3,6,2,-7} and range ={0,-2,-1,0}

Therefore, this relation is a function.

Learn more about Domain:

https://brainly.com/question/13113489

#SPJ4

Answer:

12

Step-by-step explanation:

First subtract 7 from 43, 55 and 67

43 - 7 = 36 ;  55 - 7 = 48  ;  67 - 7 = 60

Now find the GCF of 36 , 48 , 60

36 = 2 * 2 * 3 * 3

48 = 2 * 2 * *2*2 * 3

60 = 2 * 2 * 3 * 5

GCF = 2 * 2 * 3 = 12

The required number is 12

When you divide 43 by 12, the remainder is 7.

When you divide 55 by 12, the remainder is 7

When you divide 67 by 12, the remainder is 7

The solution to the given initial-value problem by using the Laplace transform  is \(y(t) = e^{(-t) }- cos(t) + t sin(t) - t cos(t).\)

To solve the initial-value problem using Laplace transform, we'll first take the Laplace transform of both sides of the differential equation and use the initial condition to find the Laplace transform of the solution.

Taking the Laplace transform of the given differential equation, we have:

\(L{[y']} + L{[y]} = L{[t sin t]}\)

Applying the linearity property of the Laplace transform and using the derivative property \(L{[y']} = sY(s) - y(0)\), where Y(s) represents the Laplace transform of y(t), we get:

\(sY(s) - y(0) + Y(s) = L{[t sin t]}\)

Since y(0) = 0 according to the initial condition, the equation simplifies to:

\(sY(s) + Y(s) = L{[t sin t]}\)

Using the table of Laplace transforms, we find that the Laplace transform of t sin t is:

\(L{(t sin t)} = 2 / (s^2 + 1)^2\)

Substituting this into the equation, we have:

\(sY(s) + Y(s) = 2 / (s^2 + 1)^2\)

Now, we can solve this equation for Y(s):

\(Y(s)(s + 1) = 2 / (s^2 + 1)^2\)

Dividing both sides by (s + 1), we get:

Y(s) = 2 / ((s + 1)(s^2 + 1)^2)

\(Y(s) = 2 / ((s + 1)(s^2 + 1)^2)\)

Now, we need to find the inverse Laplace transform of Y(s) to obtain the solution y(t).

Using partial fraction decomposition, we can express Y(s) as:

\(Y(s) = A / (s + 1) + (Bs + C) / (s^2 + 1) + (Ds + E) / (s^2 + 1)^2\)

Solving for the constants A, B, C, D, and E, we can rewrite Y(s) as:

\(Y(s) = 1 / (s + 1) - (s + 1) / (s^2 + 1) + (2s - 1) / (s^2 + 1)^2\)

Taking the inverse Laplace transform, we find that the solution y(t) is:

\(y(t) = e^{(-t)} - cos(t) + t sin(t) - t cos(t)\)

Therefore, the solution to the given initial-value problem by using the Laplace transform  is \(y(t) = e^{(-t) }- cos(t) + t sin(t) - t cos(t).\)

Learn more about Laplace transforms here:

https://brainly.com/question/31689149

#SPJ4

answer

congruent trapezoide for one

0,5(9+12)×1,5=15,75

area of picture frame =4×15,75=63

Answer:

c

Step-by-step explanation:

Answer:

35.5 hours in one week

Step-by-step explanation:

532.5/15 sicne we're trying to find out how many hours he worked in a week.

Step-by-step explanation: it actually 35.5 sorry

Step-by-step explanation:

your answer would be the second light blue one

(2h+1)(h+3) x=-1/2,-5

The 15 and 9 units side lengths of the parallelogram ABCD, and the 36° measure of the acute interior angle, A indicates the values of the ratios are;

1. AB:BC = 5:3

2. AB:CD = 1:1

3. m∠A : m∠C= 1 : 4

4. m∠B:m∠C = 4:1

5. AD: Perimeter ABCD = 3:16

A ratio is a representation of the number of times one quantity is contained in another quantity.

The shape of the quadrilateral ABCD in the question = A parallelogram

Length of AB = 15

Length of BC = 9

Measure of angle m∠A = 36°

Therefore;

1. AB:BC = 15:9 = 5:3

2. AB ≅ CD (Opposite sides of a parallelogram are congruent)

AB = CD (Definition of congruency)

AB = 15, therefore, CD = 15 transitive property

AB:CD = 15:15 = 1:1

3. ∠A ≅ ∠C (Opposite interior angles of a parallelogram are congruent)

Therefore; m∠A = m∠C = 36°

∠A and ∠D are supplementary angles (Same side interior angles formed between parallel lines)

Therefore; ∠A + ∠D = 180°

36° + ∠D = 180°

∠D = 180° - 36° = 144°

∠D = 144°

m∠A : m∠C = 36°:144° =1:4

m∠A : m∠C = 1:4

4. ∠B = ∠D = 144° (properties of a parallelogram)

m∠B : m∠C = 144° : 36° = 4:1

5. AD ≅ BC (opposite sides of a parallelogram)

AD = BC = 9 (definition of congruency)

The perimeter of the parallelogram ABCD = AB + BC + CD + DA

Therefore;

Perimeter of parallelogram ABCD = 15 + 9 + 15 + 9 = 48

AD:Perimeter of the ABCD  = 9 : 48  = 3 : 16

Learn more about ratios here:

https://brainly.com/question/19220252

#SPJ1

Direct variation occurs when a variable varies directly with another variable. That is, as the x-variable increases, the y-variable also increases.

The ratio of between y-variable and x-variable would be constant.

Direct variation can be represented by the equation, \( y = xk \), where k is a constant. Thus,

\( \frac{y}{x} = k \)

From the table given, it seems, as x increases, y also increases. Let's find out if there is a constant of proportionality (k).

Thus, ratio of y to x, \( \frac{0.50}{1} = 0.5 \)

k = 0.5.

If the given table of values has a direct variation relationship, then, plugging in the values of any (x, y), into \( \frac{y}{x} = k \), should give us the same constant if proportionality.

Let's check:

When x = 2, and y = 1:

\( \frac{y}{x} = k \),

\( \frac{1}{2} = 0.5 \),

When x = 3, y = 1.5:

\( \frac{1.5}{3} = 0.5 \),

When x = 5, y = 2.50:

\(\frac{2.5}{5} = 0.5\),

The constant of proportionality is the same. Therefore, the relationship forms a direct variation.

Answer:

Direct variation occurs when a variable varies directly with another variable. That is, as the x-variable increases, the y-variable also increases.

Step-by-step explanation:

Answer:

Distance = \(\sqrt{(1-5)^{2} + (5-2)^{2} }\) units

               = \(\sqrt{(-4)^{2} + (3)^{2} }\) units

               =\(\sqrt{25}\) units

               = 5 units

Chebyshev's theorem says that for any set of observations, the proportion of values that lie within k standard deviations of the mean is  1 - 1/k².

In statistics, Standard deviation is a measure of the variation of a set of values.

σ = standard deviation of population

N = number of observation of population

X = mean

μ = population mean

We know that Chebyshev's theorem states that for a large class of distributions, no more than 1/k² of the distribution will be k standard deviations away from the mean.

This means that 1 - 1/k² of the distribution will be within k standard deviations from the mean.

Lets k = 1.8, the amount of the distribution that is within 1.8 standard deviations from the mean is;

1 - 1/1.8² = 0.6914

= 69.14%

Hence, Chebyshev's theorem says that for any set of observations, the proportion of values that lie within k standard deviations of the mean is  1 - 1/k².

Learn more about standard deviation and variance:

https://brainly.com/question/11448982

#SPJ1

Answer:

58m

Step-by-step explanation:

The perimeter of a rectangle equation is as follows:

p = 2(width + height)

The width is 14m and the height is 15m. Plug these into the equation and solve:

p = 2(14 + 15)

p = 2(29)

p = 58

Therefore, Kylie will need 58m of fencing to go all around her land.

Hope this helps!!

- Kay :)

Kylie needs 58 m of fencing to fencing material to go around her lend.

Given that,
Kylie needs to build a fence around her land to keep her dog in.
Her land is a rectangle that is 15m long and 14m wide.

The rectangle is a four-sided polygon whose opposites sides are equal and has an angle of 90° between its sides.

Perimeter is the measure of the figure on its circumference.

Since in question how many meters of fencing material will kylie need to go all around her land is to be determined.

From the given, we have the length and width of rectangle land which are 15 m  and 14 m respectively.

Since Kylie needs to do fencing all around her land so she must know the perimeter of her land in order to evaluate how much fencing material will be needed.

Perimeter of her land = 2  * length + 2 * width
                                 = 2 * 15 + 2 * 14
                                 =  58 m

Thus, Kylie needs 58 m of fencing to fencing material to go around her lend.

Learn more about rectangles here:
https://brainly.com/question/16021628

#SPJ2

Answer:

x = 11

z = 86

Step-by-step explanation:

8x + 6 and 10x-16 are vertical angles

Vertical angles are pairs of angles that are opposite each other and have the same vertex, or point of intersection. They are formed when two lines intersect at a point, and are always congruent, or of equal measure.

To solve this equation, we need to isolate the variable x on one side of the equation. To do this, we can start by subtracting 6 from both sides of the equation:

8x + 6 - 6 = 10x - 16 - 6

8x = 10x - 22

Now we can subtract 8x from both sides of the equation:

8x - 8x = 10x - 22 - 8x

0 = 2x - 22

To solve for x, we can add 22 to both sides of the equation:

0 + 22 = 2x - 22 + 22

22 = 2x

Finally, we can divide both sides of the equation by 2 to find the value of x: 22 / 2 = 2x / 2

x = 11

Therefore, the solution to the equation is x = 11.

Now that we have x, z is a supplementary angle to 8x + 6 (or you could do 10x - 16)

Supplementary angles are pairs of angles that add up to 180 degrees. They are formed when two lines intersect at a point, and the angles formed at the intersection are supplementary.

First plug in x, 8x + 6 = 8(11) + 6 = 88 + 6 = 94

180 - 94 = z

z = 86

in slope intercept form:

y=mx+b.

slope of line:

-3/4

y intercept:

(0, 5/2)

Using the formula of area of a circle, about 226.08in² has been eaten

The diameter of the pizza is given as 24 inches. To calculate the area of the entire pizza, we need to use the formula for the area of a circle:

Area = π * r²

where π is approximately 3.14 and r is the radius of the circle.

Given that the diameter is 24 inches, the radius (r) would be half of the diameter, which is 12 inches.

Let's calculate the area of the entire pizza first:

Area = 3.14 * 12²

Area = 3.14 * 144

Area ≈ 452.16 square inches

Now, if half of the pizza is consumed, we need to calculate the area of half of the pizza. To do that, we divide the area of the entire pizza by 2:

Area of half of the pizza = 452.16 / 2

Area of half of the pizza ≈ 226.08 square inches

Therefore, if half of the pizza is consumed, approximately 226.08 square inches of pizza would be eaten.

Learn more on area of a circle here;

https://brainly.com/question/15673093

#SPJ1

Answer: 16 pieces of pizza

Step-by-step explanation: 3/4 = 12 pieces, so divide 12 by 3, which equals to 4. Next, multiply 4 x 4, which equals to 16 slices of pizza when full.

Answer:

B. Linear increasing

Step-by-step explanation:

decay means decreasing

exponential graph would have a curve

74% of 23 is approximately 17.02.

The most accurate way to estimate 74% of 23 is to use the long division method.

Step 1: Move the decimal point two places to the right of the number 74 74.00.

Step 2: Divide 74.00 by 100 = 0.74.

Step 3: Multiply 0.74 by 23 = 0.74*23 =17.02.

Step 4: Round the answer to the nearest hundredth, giving us 17.02

To learn more about the long-division method.

https://brainly.com/question/29775887

.

The results are:vz(t) leads vi(t) by 170°v(t) lags i(t) by 110°y(t) leads X(t) by 11.8°.

In this question, we have to determine which one of the sinusoids lead and by how much from the given pairs of sinusoids. The given pairs of sinusoids are as follows:v(t) = 10 cos(4t - 60) and i(t) = 4 sin(4t + 50°)(a) vi(t) = 4 cos(377t + 10º) and vz(t) = -20 cos 3771(c) X(t) = 13 cos 2t + 5 sin 2t and y) = 15 cos(2t - 11.8°)

The phase difference between the two sinusoids can be found by comparing the coefficients of t of the argument of the sinusoids in the respective expressions. We can write a sinusoidal function in the form of A sin(wt + p) or A cos(wt + p), where A is the amplitude, w is the angular frequency, t is the time and p is the phase angle. In the given pairs of sinusoids, we will compare the phase angles to determine which one of the sinusoids leads and by how much.

The analysis of each of the given pairs of sinusoids is as follows:(a) vi(t) = 4 cos(377t + 10º) and vz(t) = -20 cos 3771The phase angle of vi(t) is 10° and that of vz(t) is 180°.

Therefore, vz(t) leads vi(t) by 170°.(b) v(t) = 10 cos(4t - 60) and i(t) = 4 sin(4t + 50°)The phase angle of v(t) is -60° and that of i(t) is 50°. Therefore, v(t) lags i(t) by 110°.(c) X(t) = 13 cos 2t + 5 sin 2t and y) = 15 cos(2t - 11.8°)The phase angle of X(t) is 0° and that of y(t) is -11.8°.

Therefore, y(t) leads X(t) by 11.8°.Therefore, the results are:vz(t) leads vi(t) by 170°v(t) lags i(t) by 110°y(t) leads X(t) by 11.8°.

Know more about angular frequency here,

https://brainly.com/question/30897061

#SPJ11

The centroid of a triangle is the point where the three medians of the triangle intersect. In this case, the triangle has vertices at (0, 0), (5, 0), and (0, 7).

First, let's calculate the average x-coordinate:
¯x = (0 + 5 + 0) / 3 = 5/3 ≈ 1.67

Next, let's calculate the average y-coordinate:
¯y = (0 + 0 + 7) / 3 = 7/3 ≈ 2.33, the centroid of the triangle with vertices at (0, 0), (5, 0), and (0, 7) is approximately (1.67, 2.33).
In summary, the centroid of the triangle with verticesvertices at (0, 0), (5, 0), and (0, 7) is located at approximately (1.67, 2.33). This point represents the average position of the three vertices and is the intersection point of the medians of the triangle.

The centroid coordinates are found by taking the average of the x-coordinates and the average of the y-coordinates of the three vertices. In this case, we add up the x-coordinates (0 + 5 + 0 = 5) and divide by 3 to get an average of 5/3, which is approximately 1.67. Similarly, we add up the y-coordinates (0 + 0 + 7 = 7) and divide by 3 to get an average of 7/3, which is approximately 2.33. These values represent the x-coordinate (¯x) and the y-coordinate (¯y) of the centroid, respectively. Therefore, the centroid of the triangle is located at approximately (1.67, 2.33).

Learn more about triangles here

brainly.com/question/14366937
#SPJ11

The Pythagorean theorem is a fundamental concept in geometry that relates the lengths of the sides of a right triangle. It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Mathematically, it can be expressed as:

a² + b² = c²

where a and b are the lengths of the two legs of the right triangle, and c is the length of the hypotenuse.

The converse of the Pythagorean theorem states that if the square of the length of one side of a triangle is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle.

The Pythagorean theorem is a powerful tool in solving problems involving right triangles. It allows us to calculate unknown side lengths or determine whether a triangle is a right triangle based on the lengths of its sides. It has numerous applications in various fields, including engineering, architecture, physics, and navigation.

Understanding the Pythagorean theorem and its converse is essential for working with right triangles and applying geometric principles. It provides a foundation for further exploration of trigonometry and advanced geometric concepts.

To know more about Pythagorean theorem refer here:

https://brainly.com/question/28361847#

#SPJ11

The length of the guy's wire to the nearest foot is 89 feet.

The situation forms a right-angled triangle.

The hypotenuse of the triangle is the length of the wire.

let's use the smaller triangle to find the angle opposite the tower. Therefore,

tan ∅ = opposite / adjacent

tan ∅ =  5 / 2

∅ = tan⁻¹ 2.5

∅ = 68.1985905136

∅ = 68.20°

Therefore,

cos 68.20 = adjacent / hypotenuse

cos 68.20 = 33 / hypotenuse

hypotenuse = 33 / cos 68.20

hypotenuse = 88.8606843161

Therefore,

length of wire ≈ 89 feet.

learn more on triangles here; https://brainly.com/question/25762788?referrer=searchResults

Answer:

89

Step-by-step explanation:

Scale factor is 16.5

Use pythagorean theorem to get this equation:

82.5^2 + 32^2 = c^2

Round your answer to equal 89

The interquartile range (IQR) is a measure of the spread or variability of the middle 50 percent of the data.

The interquartile range (IQR) is a statistical measure that describes the spread or dispersion of the middle 50 percent of the data. It is calculated as the difference between the third quartile (Q3) and the first quartile (Q1) of a dataset.

The quartiles divide a dataset into four equal parts, each representing 25 percent of the data. The first quartile (Q1) represents the lower boundary of the middle 50 percent, while the third quartile (Q3) represents the upper boundary of the middle 50 percent. The IQR captures the range of values within this middle range.

By focusing on the middle 50 percent of the data and excluding the extreme values, the interquartile range provides a measure of variability that is less affected by outliers or extreme values. It is commonly used in descriptive statistics and data analysis to understand the spread and distribution of a dataset, particularly when the data is not symmetrically distributed or contains outliers.

Learn more about interquartile range here:

https://brainly.com/question/29173399

#SPJ11

The sales tax for a box of cereal that costs $3.8 is $0.228 and the total cost for this box of cereal at the checkout register is $4.028, given that sales tax is 6% of the price of the item. This can be obtained by using sales tax formula.

The Sales tax formula is given by,

⇒ Sales tax = Total sales × sales tax rate

⇒ Sales tax = item price × 6%  

⇒ Sales tax = 0.06 × item price

Here in the question it is given that,  

a box of cereal costs $3.8, that is, item price = $3.8

By using sales tax formula we get that,

⇒ Sales tax = 0.06 × item price

⇒ Sales tax = 0.06 × $3.8

⇒ Sales tax = $0.228

The total cost for this box of cereal at the checkout register can be obtained using the following formula,

⇒ Total cost = item price + sales tax

⇒ Total cost = $3.8 + $0.228

⇒ Total cost = $4.028

Hence the sales tax for a box of cereal that costs $3.8 is $0.228 and the total cost for this box of cereal at the checkout register is $4.028, given that sales tax is 6% of the price of the item.

Learn more about sales tax here:

brainly.com/question/16911495

#SPJ4