How much more popcorn does the bigger box hold than the smaller box?

\text{cm}^3cm 3

start text, c, m, end text, cubed

\text{Amanda's popcorn container:}Amanda’s popcorn container:start text, A, m, a, n, d, a, apostrophe, s, space, p, o, p, c, o, r, n, space, c, o, n, t, a, i, n, e, r, colon, end text

\text{Mary's popcorn container:}Mary’s popcorn container:start text, M, a, r, y, apostrophe, s, space, p, o, p, c, o, r, n, space, c, o, n, t, a, i, n, e, r, colon, end text

Answer:

D

Step-by-step explanation:

For a quadratic equation ax² +bx +c= 0, the quadratic formula is as below:

\(\boxed{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} }\)

x² -12x +7= 0

\(x = \frac{ - ( - 12)± \sqrt{( - 12) {}^{2} - 4(1)(7) } }{2(1)} \)

\(x = \frac{12± \sqrt{144 - 28} }{2} \)

\(x = \frac{12± \sqrt{116} }{2} \)

\(x = \frac{12± \sqrt{4(29)} }{2} \)

\(x = \frac{12±( \sqrt{4})( \sqrt{29} )}{2} \)

\(x = \frac{12±2 \sqrt{29} }{2} \)

\(x = 6± \sqrt{29} \)

\(∴x = 6 + \sqrt{29} \: \: \: or \: \: \:x = 6 - \sqrt{29}\)

Answer:

dx/dy = y/2x

Step-by-step explanation:

-4x × dx/dy = -2y..... that's all

Answer: 40

Step-by-step explanation:

38+ 52=90

230-90=40

Answer:

x = -5 or x = 17

Step-by-step explanation:

The absolute value is the number's distance from 0.

So, we need to write two equations.

x - 6 = 11

x - 6 = -11.

Next, we need to add 6 to both sides of each equations.

11 + 6 = 17

-11 + 6 = -5

So, x = 17 and x = -5.

Answer: It could be -5 or 17

Step-by-step explanation: So, it can be both, but as I see it would most likely be 17 because I see you put x-6 as an absolute value. so, to find the value of x, we could do 11 + 6 (Inverse operations), so 11 + 6 = 17. If it was NOT the absolute value of x-6, we could find it to be -5, by subtracting -6 from 11, to get -5. I hope this helps you understand now, if any questions please comment down below.

The correct option is A: 0.0335. The probability that the professor will have no messages on a randomly selected day ,

can be calculated using the Poisson distribution formula, where the mean is given as 5. The formula is P(X=0) = e^(-λ) * λ^0 / 0!, where λ is the mean. Substituting the values, we get P(X=0) = e^(-5) * 5^0 / 0! = e^(-5) ≈ 0.0067 or 0.67%. Therefore, the answer is option A: 0.0335.

This means that on average, the professor is expected to receive 5 emails per day, but there is a small chance that she will receive no emails on any given day.

In this case, the probability is quite low, only 0.67%. However, it is not impossible to have no messages, even though it is unlikely.

It is important to note that the Poisson distribution is a probability model used to describe the occurrence of rare events over time or space, and it assumes that the events are independent of each other and occur randomly.

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Answer:

Step-by-step explanation:

the rest are incorrect

Answer:

V = 3 * 3 * 7 + 2 * 3 * 5 = 63 + 30 = 93       just adding 2 segments

(a) For Rolling a dice the outcomes and probabilities are,

Outcomes = {1, 2, 3, 4, 5, 6}

Probability to get 1 on the face = p(1) = 1/6

Probability to get 2 on the face = p(1) = 1/6

Probability to get 3 on the face = p(1) = 1/6

Probability to get 4 on the face = p(1) = 1/6

Probability to get 5 on the face = p(1) = 1/6

Probability to get 6 on the face = p(1) = 1/6

(b) For Flipping a coin the outcomes and probabilities are,

Outcomes = {Head, Tail}

Probability of getting Head = 1/2

Probability of getting Tail = 1/2

(a) Here the event is Rolling a dice.

So the possible outcomes under the event rolling a dice are each of the face values on the dice.

So outcomes are = {1, 2, 3, 4, 5, 6}

Now, the probabilities are,

Probability to get 1 on the face = p(1) = 1/6

Probability to get 2 on the face = p(1) = 1/6

Probability to get 3 on the face = p(1) = 1/6

Probability to get 4 on the face = p(1) = 1/6

Probability to get 5 on the face = p(1) = 1/6

Probability to get 6 on the face = p(1) = 1/6

(b) Here the event is Flipping a coin.

So the possible outcomes under this event can be getting a Head or getting a Tail.

Outcomes = {Head, Tail}

Probability of getting Head = 1/2

Probability of getting Tail = 1/2

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32 papers would Ashley have to remain to grade after working for 6 hours.

What is simplification?

Simplifying procedures is one way to achieve uniformity in work efforts, expenses, and time. It reduces diversity and variety that is pointless, harmful, or unnecessary.

Here, we have

Ashley is a teacher and takes home 98 papers to grade over the weekend.

She can grade at a rate of 11 papers per hour.

We have to calculate how many papers would Ashley has remaining to grade after working for 6 hours.

Based on the given conditions, formulate:: 98 - 11 × 6

Calculate the product or quotient: 98 - 66

Calculate the sum or difference: 32

Hence, 32 papers would Ashley have to remain for a grade after working for 6 hours.

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Answer:no it is not

Step-by-step explanation:

28 squared + 62 squared does not equal 75 squared

well, let's recall the pythagorean theorem, which applies only the right-triangles, so then, let's take a look at the two smaller sides, 28 and 62 and their sum.

\(\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{75}\\ a=\stackrel{adjacent}{28}\\ b=\stackrel{opposite}{62}\\ \end{cases}\qquad 75^2~~ = ~~28^2~~ + ~~62^2 \\\\\\ 5625~~ = ~~784~~ + ~~3844\implies 5625~~ \ne ~~4628\qquad \textit{nope, not a right triangle}\)

Answer: they are not exactly the same because then you could just use the same answers and you wouldn't learn anything.because the numbers are slightly different

Step-by-step explanation:

Answer:

Yeah

Step-by-step explanation:

The communication is a one-way process in which a message is conveyed from a sender to a receiver is one of the assumptions made by the linear model of communication.

The straightforward linear model of communication presents communication as a process with distinct beginnings and endings.

But this model ignores the fact that communication is frequently a more complex and involved process that needs context, feedback, and a variety of channels.

The linear model presumes that the message is clearly understood by the recipient and that it is received by the recipient free from distortion or interference.

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An assumption of the linear model of communication is the belief that communication is a one-way process where a sender transmits a message to a receiver through a channel. This model assumes that communication is a linear process where the sender encodes a message, which is then sent through a channel to the receiver who decodes the message.

In the linear model, the sender encodes a message, sends it through a channel, and the receiver decodes the message. This model does not account for feedback or interaction between the sender and receiver, assuming that communication is a straightforward and direct transmission of information without any complexities or interruptions.

This model assumes that there is little to no feedback or interaction between the sender and receiver, and that the message is transmitted and received accurately without any distortion. However, this assumption is often criticized for oversimplifying the complex nature of communication and ignoring the role of context and feedback in the communication process.

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Answer: X=23

<u is 75

< v is 29

<w is 76

Step-by-step explanation:

< u + < v +< w = 180

<w + 3x+35 = 180

so 3x+35= <v+ <u

3x+35=x+52+x+6

3x+35= 2x+58

x+35=58

x= 23

so each angle

U= (23+52)= 75

V= (23+6)= 29

W=180-75-29= 76

or 3(23)+35+w=180

104+w=180

w= 76

Answer:

thousands place: 8

tens place: 1

Step-by-step explanation:

Answer: 8 thousands 1 or 10 tens

Step-by-step explanation:

brainiest please hope this helps

The total number of samples will be 1109 .

Given ,

Margin of error 0.02

Here,

According to the formula,

\(Z_{\alpha /2} \sqrt{pq/n}\)

Here,

p = proportions of scientist that are left handed

p = 0.09

n = number of sample to be taken

Substitute the values,

\(Z_{0.01} \sqrt{0.09 * 0.91/n} = 0.02\\ 2.33 \sqrt{0.09 * 0.91/n} = 0.02\\\\\\\)

n ≈1109

Thus the number of samples to be taken will be approximately 1109 .

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So the total amount received by Sohail is 100 * y². To get the precise amount, we must first determine the value of x.

An expression or mathematical expression is a finite collection of symbols that is well-formed according to context-dependent norms. In mathematics, an expression is a phrase that has at least two numbers or variables and at least one arithmetic operation. Addition, subtraction, multiplication, or division are all examples of math operations. An expression's structure is as follows: (Number/variable, Math Operator, Number/variable) is an expression.

Let's call the number of days Sohail was in town and cleaned the house "y". Then we can write:

y = x - 8 (since he was out of town for 8 days)

And the amount he was promised per day is 10, so the total amount promised is:

10 * y = 10 * (x - 8)

At the end of the break, his mother decided to square the amount due to him, so the final amount he received is:

(10 * y)² = (10 * (x - 8))²

Expanding the square and simplifying, we get:

100 * y²= 100 * (x - 8)²

So the final amount Sohail received is 100 * y². To find the exact value, we need to know the value of x.

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Answer:

(-4, 0)

Step-by-step explanation:

midpoint formula: (x₁ + x₂) / 2 , (y₁ + y₂) / 2

(-5, 3) & (-3, -3)

(-5 - 3) / 2 , (3 - 3) / 2

-8/2 , 0/2

(-4, 0)

Answer:

88.8 and 962

Step-by-step explanation:

I took the quiz

Step-by-step explanation:

Use z-score table to find the z-score that corresponds to .7000   ( 70%)

approx   .525   s.d.  above the mean

  .525  * 10 =  5.25  points above 100   = 105.25

The corresponding rectangular coordinates for point q are (-3√3, -3)

To find the corresponding rectangular coordinates for point q, we need to use the formula:
x = r cos(theta)
y = r sin(theta)

where r is the radial distance and theta is the angle measured counterclockwise from the positive x-axis in radians.

In this case, the given polar coordinates are (6, 7π/6). So, we have:
r = 6
theta = 7π/6

Substituting these values into the above formulas, we get:
x = 6 cos(7π/6) = 6 (-√3/2) = -3√3
y = 6 sin(7π/6) = 6 (-1/2) = -3

Therefore, the corresponding rectangular coordinates for point q are (-3√3, -3).

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The expression for the correlation between two time series variables, y_t and y_{t+h}, can be obtained using the autocovariance function. It involves the ratio of the autocovariance of the variables at lag h to the square root of the product of their autocovariance at lag 0.

The correlation between two time series variables, y_t and y_{t+h}, can be expressed using the autocovariance function. Let's denote the autocovariance at lag h as γ(h) and the autocovariance at lag 0 as γ(0).

The correlation between y_t and y_{t+h} is given by the expression:

Corr(y_t, y_{t+h}) = γ(h) / √(γ(0) * γ(0))

The numerator, γ(h), represents the autocovariance between the two variables at lag h. It measures the linear dependence between y_t and y_{t+h}.

The denominator, √(γ(0) * γ(0)), is the square root of the product of their autocovariance at lag 0. This term normalizes the correlation by the standard deviation of each variable, ensuring that the correlation ranges between -1 and 1.

By plugging in the appropriate values of γ(h) and γ(0) from the time series data, the expression for Corr(y_t, y_{t+h}) can be calculated.

The correlation between time series variables provides insight into the degree and direction of their linear relationship. A positive correlation indicates a tendency for the variables to move together, while a negative correlation indicates an inverse relationship. The magnitude of the correlation coefficient reflects the strength of the relationship, with values closer to -1 or 1 indicating a stronger linear association.

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The volume of the hemisphere is 261.8 cubic feet

We can easily find the volume of the hemisphere since the base of the sphere is circular. The volume of the hemisphere is derived by Archimedes. The volume of a hemisphere = (2/3)πr³ cubic units.

In this problem, we simply substitute the values into the formula and then solve for the volume.

v = 2/3πr³

radius(r) = diameter(d) / 2

r = 10 /2

r = 5ft

Substituting the values;

v = 2/3π(5)³

v = 261.8ft³

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Answer:

it's the top one

Step-by-step explanation:

To sketch the function f(x) = 9 - x^2 on the interval [0, 4], we can plot a graph with the y-axis representing the value of the function and the x-axis representing the values in the interval. The graph will start at 9 and then decrease as we move towards 4 on the x-axis. This is because the value of x^2 increases as x increases, so subtracting x^2 from 9 results in a decreasing function.

To approximate the net area bounded by the graph of f and the x-axis on the interval using a left, right, and midpoint Riemann sum with n = 4, we can divide the interval [0, 4] into 4 subintervals of equal length. For the left Riemann sum, we use the left endpoint of each subinterval to evaluate the function. For the right Riemann sum, we use the right endpoint of each subinterval. For the midpoint Riemann sum, we use the midpoint of each subinterval.

Using this method, we can calculate the approximate net area bounded by the graph and the x-axis on the interval [0, 4]. The left Riemann sum is 70.5, the right Riemann sum is 57.5, and the midpoint Riemann sum is 63.5.

Finally, we can use the sketch in part (a) to show which intervals of [0, 4] make positive and negative contributions to the net area. The function is positive when it is above the x-axis and negative when it is below the x-axis. From the sketch, we can see that the area above the x-axis contributes positive area to the net area, while the area below the x-axis contributes negative area to the net area. In this case, the area between x = 0 and x = 3 contributes positive area, while the area between x = 3 and x = 4 contributes negative area to the net area.

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The sales price of the item is $48.

The sale price of an item that costs 60% of its original price which is $80 is $48. The original price of the item is $80, and it costs 60% of the original price. The amount of money we'll be spending is calculated as follows: 60 per cent of $80 (60/100) × $80= $48 Therefore, the sales price is $48. The percentage discount for the item is calculated as follows:$80 - $48 = $32

$32 is the amount of money saved due to the discount, which is then divided by the original price, $32/$80 = 0.4 or 40%. Thus, there was a 40% discount on the original price.

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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.

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The ratio that compares the championship won by Australia to the total number of championship is 6/41 which means that of the total 41 championship Australia has won 6 of the championship.

According to the question we have been given that,

 Total number of championship = 41

  Total number of championship won by Australia = 6

Thus we need to find the ratio that compares the championship won by Australia to the total number of championship.

For this the ratio will be :   \(\frac{number of championship won by Australia}{Total number of championship }\)

                                       = 6/41

Hence the ratio that compares the championship won by Australia to the total number of championship is 6/41 which means that of the total 41 championship Australia has won 6 of the championship.

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Answer:

GY = 10 cm

YX = 16 cm

A = πr²

A = π (26cm)²

A = 676cm² π

Step-by-step explanation:

The area of Marco's new circle is A = 676π cm²

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the radius of the circle be represented as r

Now , the value of r = 26 cm

And , area of the circle = πr²

On simplifying , we get

A = π ( 26 )²

A = 676π cm²

Hence , the area of the circle is 676π cm²

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The complete question is attached below :

Point G is the center of the small circle. Point X is the center of the large circle. Points G, Y, and X are all on line segment GX.

Marco wants to create a new circle using GX as a radius. What will be the area of Marco’s new circle?

10Pi centimeters squared

16Pi centimeters squared

356Pi centimeters squared

676Pi centimeters squared

The answer is:

(-2/9, 35/9) in rounded decimal form is (-0.22, 3.89)

x = - 2 / 9 which in decimal form as well as rounded is -0.22

y = 35 / 9 which in decimal form as well as rounded is 3.89

Hope this helps...

Answer:

A: 12 B: 80

Step-by-step explanation:

92 - 80 = 12

80 students

12 Chaperones

Answer:

12 chaperones and 80 students

Step-by-step explanation:

Start by multiplying the numbers seperatly and then add. Keep doing this till you get to 92.

  20(2)=40. 3(2)=6 46

  20(3)=60. 3(3)=9 69

  20(4)=80. 3(4)=12 92

Now you know there are 12 chaperones and 80 students. There are other ways to answer this problem like using systems of equations but it still gives the correct answer and is less advanced.

       Hope this helps:)