Andrea ordered a pizza for dinner. She ate 1/4 of the pizza. Her brother ate 35% of the pizza. Her mom ate .10 of the pizza. How much pizza is left?

Answer:

6 wholes

Step-by-step explanation:

\( \frac{19}{3} = 6 \frac{1}{3} \)

So there are 6 wholes in 19/3.

The area of the shaded segment of the circle is 5.79 square metre.

The area of a segment is equal to the area of a sector less the triangle-shaped portion.

A=\(\frac{1}{2}\)(∅-Sin∅)×\(r^{2}\)

Every point in the plane of a circle, which is a closed, two-dimensional object, is evenly separated from the centre. All lines that cross the circle join together to produce the line of reflection symmetry. Moreover, every angle has rotational symmetry around the centre.

r=8m

∅=60°

Applying the formula's values, we obtain

A=\(\frac{1}{2}\)(∅-Sin∅)×\(r^{2}\)

A=\(\frac{1}{2}\)(\(\frac{π}{3}\)-Sin60°)×\(8^{2}\)

A=5.79

Hence,  the area of the shaded segment of the circle is 5.79 square metre.

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Answer:

52°

Step-by-step explanation:

it should always add up to 180°

The probability that a consumer will obtain a satisfactory plumbing job given that the plumber was Plumber A is 0.75.

To find the probability that a consumer will obtain an unsatisfactory plumbing job given that the plumber was Plumber A, we first need to determine the proportion of plumbing jobs done by Plumber A that result in consumer dissatisfaction.

Given that half the complaints dealt with Plumber A and that Plumber A does 40% of the plumbing jobs in the town, we can calculate this proportion as follows:

Proportion of unsatisfactory plumbing jobs done by Plumber A = (Half the complaints / Total number of plumbing jobs done by Plumber A)

= (Half the complaints / 40% of the total plumbing jobs in the town)

= (Half of 10% / 40%)

= 10% / 2 / 40% = 1 / 4 = 0.25

Therefore, the probability that a consumer will obtain an unsatisfactory plumbing job given that the plumber was Plumber A is 0.25.

To find the probability that a consumer will obtain a satisfactory plumbing job given that the plumber was Plumber A, we subtract the probability of obtaining an unsatisfactory plumbing job from 1:

Probability of a satisfactory plumbing job given that the plumber was Plumber A = 1 - Probability of an unsatisfactory plumbing job

= 1 - 0.25

= 0.75

Therefore, the probability that a consumer will obtain a satisfactory plumbing job given that the plumber was Plumber A is 0.75.

In conclusion, given that Plumber A does 40% of the plumbing jobs in the town and that half the complaints dealt with Plumber A, the probability that a consumer will obtain an unsatisfactory plumbing job given that the plumber was Plumber A is 0.25, and the probability that a consumer will obtain a satisfactory plumbing job given that the plumber was Plumber A is 0.75. These probabilities can be used to make informed decisions about which plumber to choose for plumbing jobs in the community.

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(i) To find the solution for yt in the given equation yt = yt−1 + εt + 0.3εt−1, we can rewrite it as yt - yt−1 = εt + 0.3εt−1. By applying the lag operator L, we have (1 - L)yt = εt + 0.3εt−1.

Solving for yt, we get yt = (1/L)(εt + 0.3εt−1). The solution for yt involves lag operators and depends on the values of εt and εt−1.  (ii) For the equation yt = 1.2yt−1 + εt, to find the s-step-ahead forecast Et[yt+s], we can recursively substitute the lagged values. Starting with yt = 1.2yt−1 + εt, we have yt+1 = 1.2(1.2yt−1 + εt) + εt+1, yt+2 = 1.2(1.2(1.2yt−1 + εt) + εt+1) + εt+2, and so on. The s-step-ahead forecast Et[yt+s] can be obtained by taking the expectation of yt+s conditional on the available information at time t.

To make this model stationary, we need to ensure that the coefficient on yt−1, which is 1.2 in this case, is less than 1 in absolute value. If it is greater than 1, the process will be explosive and not stationary. To achieve stationarity, we can either decrease the value of 1.2 or introduce appropriate differencing operators.

(iii) For the equation yt = yt−1 + t + εt, finding the solution for yt and the s-step-ahead forecast Et[yt+s] involves incorporating the time trend t. By recursively substituting the lagged values, we have yt = yt−1 + t + εt, yt+1 = yt + t + εt+1, yt+2 = yt+1 + t + εt+2, and so on. The s-step-ahead forecast Et[yt+s] can be obtained by taking the expectation of yt+s conditional on the available information at time t.

To make this model stationary, we need to remove the time trend component. We can achieve this by differencing the series. Taking first differences of yt, we obtain Δyt = yt - yt-1 = t + εt. The differenced series Δyt eliminates the time trend, making the model stationary. We can then apply forecasting techniques to predict Et[Δyt+s], which would correspond to the s-step-ahead forecast Et[yt+s] for the original series yt.

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An 8-dimensional data cube with no hierarchies associated with any dimension will contain (2^8) cuboids. Therefore, the answer is 256 cuboids.A data cube is a three-dimensional structure that stores data as dimensions, hierarchies, and measures.

The data cube's structure is dependent on the dimensions, hierarchies, and measures. A data cube can be created using the following formula: Data Cube = (Dimension 1 Size) * (Dimension 2 Size) *...* (Dimension n Size) For example, if a data cube has 3 dimensions, A, B, and C, with sizes 3, 4, and 5, respectively, then the total number of cells will be (3*4*5), or 60 cells.In an 8-dimensional data cube, the number of cuboids can be calculated by taking the power of 2 of the number of dimensions, since each dimension can either be included or excluded from a cuboid. Therefore, 2^8 = 256 cuboids.

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The two functions f(x) and g(x) are f(x) = √x and g(x) = x - 3

From the question, we have the following parameters that can be used in our computation:

h(x) = sqrt(x - 3)

(f ∘ g)(x) = h(x)

This means that

(f ∘ g)(x) = sqrt(x - 3)

Rewrite the above equation properly

So, we have the following representation

(f ∘ g)(x) = √(x - 3)

The function (f ∘ g)(x) is calculated as

(f ∘ g)(x) = f(g(x))

So, we have

f(g(x)) = √(x - 3)

This means that

f(g(x)) = √g(x)

By comparison. we have

g(x) = x - 3

f(x) = √x

Hence, the functions are f(x) = √x and g(x) = x - 3

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Answer:

$232.75

Step-by-step explanation:

If you do 175 divided by 100, you get 1.75. Then you take 45 (45%) and subtract it by 12 (12%) you 33 (33%). Now you take 1.75 and times it by 33 and you get 57.75. Take the 175 and add 57.75 and you get 232.75 ($232.75)

I hope this helps with the problem. See ya.

The problem statement describes a surface, given by the equation

x^2/9 + y^2/16 = z, which is a paraboloid opening upward. This surface is then restricted to the region above the rectangle r = [-1, 1] x [-2, 2] in the xy-plane.

We need to find the surface area of this region.

To find the surface area, we will use a double integral over the rectangle r to sum up the surface area of small rectangular patches on the surface. Specifically, we will use the formula for surface area of a graph z = f(x,y) on a rectangle R:

A = ∫∫(1 + (∂z/∂x)^2 + (∂z/∂y)^2)^(1/2) dA

where the integral is taken over the region R and dA = dxdy. We can evaluate this integral using the given equation for the surface and its partial derivatives with respect to x and y. The resulting integral will give us the surface area of the paraboloid above the rectangle r.

The problem statement describes a surface, given by the equation x^2/9 + y^2/16 = z, which is a paraboloid opening upward. This surface is then restricted to the region above the rectangle r = [-1, 1] x [-2, 2] in the xy-plane. We need to find the surface area of this region.

To evaluate the given triple integral, we will use the method of cylindrical coordinates. The region of integration is a rectangle in the xy-plane, and since the surface z=1 is symmetric with respect to the z-axis, it will also be symmetric with respect to the cylindrical axis.

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In rectangle , The width is 8 and the length is 37.

What is a rectangle ?

A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. Because of this, it is also known as an equiangular quadrilateral.

                              The term "parallelogram" can also be used to describe a rectangle because the opposing sides are equal and parallel.

90 = 2(x + 5 + 4x)

90 = 2(5x + 5)

90 = 10x + 10

80 = 10x

x = 8

So the width is 8 and the length is 37.

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The complete question is -

The length of a rectangle is five inches more than four times it’s width. If the perimeter is 90 inches, find its dimensions

Answer:

Step-by-step explanation:

Bisects means that ∠RED will be divided in two parts by segment EB. This means that ∠REB = ∠BED. So,

5x-3 + 5x-3 = 8x+16

10x-6 = 8x+16

2x = 22

x = 11

Keep in mind that 11 is NOT the angle of ∠BED. You will plug it back into ∠REB to get

5(11)-3 = 52

Therefore, ∠BED = 52°

An older household with an annual income of $53,000 typically spends approximately 30% to 35% of their income on housing, which amounts to roughly $15,900 to $18,550 per year.

The recommended guideline for housing expenses suggests that individuals or households should spend no more than 30% of their income on housing costs. However, older households often have different financial considerations and may allocate a larger portion of their income towards housing. Based on the provided annual income of $53,000, we can estimate the housing expenses for an older household in the age range of 65-74.

To calculate the approximate amount spent on housing, we can use the range of 30% to 35% of the annual income. Multiplying $53,000 by 0.30 gives us $15,900, which represents the lower end of the estimated housing expenses. Similarly, multiplying $53,000 by 0.35 gives us $18,550, which represents the higher end of the estimate. Therefore, an older household with an annual income of $53,000 is likely to spend approximately $15,900 to $18,550 per year on housing. It's important to note that individual circumstances, such as location, housing type, and personal preferences, can vary, leading to different spending patterns.

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Answer:

1479 gm

Step-by-step explanation:

V = 10 * 3 * 5 = 150 cm^3

150 cm^3  * 9.86 g / cm^3 = 1479 gm

The system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

A line process has three processing stages with the characteristics given below:

Stage A B C Unit processing time(minutes) 1 2 3 Number of machines 1 1 2 Machine availability 90% 100% 100% Process yield at stage 100% 100% 100%

To determine the system capacity and the bottleneck stage and utilization of Stage 3:

The system capacity is calculated by the product of the processing capacity of each stage:

1 x 1 x 2 = 2 units per minute

The bottleneck stage is the stage with the lowest capacity and it is Stage A. Therefore, Stage A has the lowest capacity and determines the system capacity.The utilization of Stage 3 can be calculated as the processing time per unit divided by the available time per unit:

Process time per unit = 1 + 2 + 3 = 6 minutes per unit

Available time per unit = 90% x 100% x 100% = 0.9 x 1 x 1 = 0.9 minutes per unit

The utilization of Stage 3 is, therefore, (6/0.9) x 100% = 666.67%.

However, utilization cannot be greater than 100%, so the actual utilization of Stage 3 is 100%.

Hence, the system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

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Answer:

1-4/5

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

4/5 = 80

80 is the price percentage.

5/5 - 4/5 = 1/5

1/5 = 20

so, 20%

The following can be shown about the diagonals of parallelogram PQRS to compare the proof that diagonals of a parallelogram bisect each other: B. PR and SQ have the same midpoint.

In Mathematics and Geometry, a parallelogram is a geometrical figure (shape) and it can be defined as a type of quadrilateral and two-dimensional geometrical figure that has two (2) equal and parallel opposite sides.

In order for any quadrilateral to be considered as a parallelogram, two pairs of its parallel opposite sides must be equal (congruent). This ultimately implies that, the diagonals of a parallelogram would bisect one another only when their midpoints are the same:

(Line segment PR)/2 = (Line segment SQ)/2

Line segment PR = Line segment SQ

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Answer: The answer is 0.11 in decimal form.

Step-by-step explanation:

Answer:

x= 1 y= +10

Step-by-step explanation:

Answer:

1) y=3x+2            2) 11

Step-by-step explanation:

you can use the first y and x points to solve this.

fot the first one you cna do 4 times 3 to get 12 and then you add 2 to get 14.

you are trying to turn the x intot he y value.

For the second question, you can use the formula you just created int the first question to answer it, just plug in the numbers

y=3 times 3 +2=11

Answer:

Interior intersections are those intersecitons inside the main figure. For example, the intersection between two chords of a circle, that represents an interior intersection.

Exterior interseciton are those intersections which happens outside the figure, for example, the intersection of two tangent lines of a circle.

Basically, they are similiar, because both type of intersections are formed by the encounter between two lines or segments.

However, they are different, because each type is formed at different parts of the figure, one inside and one outside.

Answer:

(3h+4)(2h+3)

Step-by-step explanation:

6h^2 + 8h + 9h + 12h

(6h^2+8h) + (9h+12h)

2h(3h+4) + 3(3h+4)

(3h+4)(2h+3)

Answer:

(3h+4) (2h+3)

Step-by-step explanation:

i hope this helps

The soccer ball will land approximately 1 seconds after it was kicked upward. This is found by setting the height equation to 0 and solving for t using the quadratic formula.

To solve for the time the soccer ball lands, we need to find the time when h = 0. We can use the given equation

h = -4.9t² + vt + s

where v = 4.9 m/s (since it's kicked upward) and s = 0 (since it starts at ground level).

Substituting those values, we get

0 = -4.9t² + 4.9t

Factoring out 4.9t, we get

0 = 4.9t(-t + 1)

So, either t = 0 or -t + 1 = 0

Since time cannot be negative, we discard the second solution and solve for t

-t + 1 = 0

t = 1

Therefore, the soccer ball lands after approximately 1 second.

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Given:

Bird center bar chart is given.

Option D is the final answer.

The average rate of change of the function f(x) = (1/4)x^2 - 4 over the interval from 0 to 3 is -3/2.

The average rate of change of a function over an interval is calculated by finding the difference in the function's values at the endpoints of the interval and dividing it by the difference in the x-values. In this case, we are given the function f(x) = (1/4)x^2 - 4 and the interval from 0 to 3.

To find the value of the function at the endpoints, we substitute the x-values into the function.

At x = 0: f(0) = (1/4)(0)^2 - 4 = -4.

At x = 3: f(3) = (1/4)(3)^2 - 4 = 9/4 - 4 = -7/4

The difference in the function values is: (-7/4) - (-4) = -7/4 + 16/4 = 9/4.

The difference in the x-values is: 3 - 0 = 3.

Finally, we divide the difference in the function values by the difference in the x-values to find the average rate of change: (9/4) / 3 = 9/4 * 1/3 = 9/12 = 3/4 = -3/2.

Therefore, the average rate of change of f(x) = (1/4)x^2 - 4 over the interval from 0 to 3 is -3/2.

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Perry como fans fifty-six percent of respondents to an online poll said that they were perry como fans. if 982 randomly selected people responded to this poll.

By use the sample proportion to estimate the true proportion of all local residents who are Perry Como fans.

Let p be the true proportion of all local residents who are Perry Como fans. Then, the sample proportion is 0.56 and the sample size is n = 982.

We construct a 95% confidence interval for p by using the formula

Sample proportion ± z*standard error

Where z is the critical value from the standard normal distribution for a 95% confidence level, which is 1.96. The standard error is the estimated standard deviation of the sample proportion which is defined as

\(\sqrt{p*(1-p)/n} \\}\)

By putting the values we get

Standard error = \(\sqrt{0.56*(1-0.56)/982)\) = 0.018.

95% confidence interval = 0.56 ± 1.96*0.018 = (0.525, 0.595).

Hence, we can say with 95% confidence that the true proportion of all local residents who are Perry Como fans is between 0.525 and 0.595.

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Answer:

Always

Step-by-step explanation:

In order for an integer to be even, one of the factors must be 2.  Otherwise, it is odd.

If A is an odd number, it does not have a factor of 2.

If B is an odd number, it also does not have a factor of 2.

Therefore, AB also does not have a factor of 2, so it is always odd.

Answer:

R(x, y) = (x, -y)

Step-by-step explanation:

When we have a reflection across some line, the distance between the original point and the reflected point to the line is invariant.

For a reflection around the x-axis, the x-value is invariant, then the only value that can change is the y-value.

So if we have a point like (4, 7)

Which is at a distance of 7 units to the x-axis, the only other point that is also at a distance of 7 units to the x-axis that has the same x-value is (4, -7)

Here we already can see the rule.

If we have a point (x, y), the reflection across the x-axis gives us the point (x. -y)

Then we can write this reflection as a function in the next way:

R(x, y) = (x, -y)

This means that if the input is the point (x, y), the output is the point (x, -y)

An writing format called R Markdown (. Rmd) makes it simple to create dynamic documents, presentations, and reports with R.

It mixes R code chunks that are embedded and run so that their result can be included in the final document with the basic grammar of R markdown, a simple plain text format. The following are some benefits of utilizing R markdown: explicitly connects your data, R code, and output to produce a workflow that is completely reproducible. You can include ALL of the R code that was used to explore, summarize, and analyze your data in a single, simple-to-read document.

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Answer:

4

Step-by-step explanation:

since it's all addition, we can remove the parentheses

\(3x + x + 10 + 5x + 2x + 2 = 56\)

Now we combine like terms

\(3x+x+5x+2x+10+2=56\)

\(11x+12=56\)

We subtract both sides by 12 to get,

\(11x=44\)

now we divide both sides by 11

\(x=\frac{44}{11}\)

\(x=4\)