Melanie has a bag that contains orange chews, cherry chews, and peach chews. She performs an experiment. Melanie randomly removes a chew from the bag, records the result, and returns the chew to the bag. Melanie performs the experiment 61 times. The results are shown below: A orange chew was selected 38 times. A cherry chew was selected 5 times. A peach chew was selected 18 times. Based on these results, express the probability that the next chew Melanie removes from the bag will be peach chew as a decimal to the nearest hundredth.

Answer:  93 boxes will be needed

Step-by-step explanation:

     If each box holds 16 paperweights, and 1,486 need to be packaged, we will divide 1,486 by 16.

1,486 / 16 = 92.875

    We will assume you cannot have 0.875 of a box, so we will round up to:

              93 boxes will be needed

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Answer:

142.75

Step-by-step explanation:

Answer: p=14

Step-by-step explanation:

Equation: 74.25p+993.5=2033

The person that answered it the first time is wrong

Answer: E

Step-by-step explanation:

The solution means the intersection point, so in this case, it's (3, 2). The intersection point represents a value that is true for both equations, which is why it's considered the solution.

The data described, the number of televisions in different households, is discrete.

discrete data consists of individual values that can be counted and are distinct from one another. In this case, the number of televisions is a discrete variable because it can only take on whole numbers, such as 0, 1, 2, 3, and so on. You cannot have a fractional or continuous number of televisions. Each household will have a specific count of televisions, and there is no intermediate value between each whole number. Additionally, the number of televisions is distinct for each household, meaning that it can differ from one household to another.

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4 x 9 is a multiplication problem, which means 4 is being multiplied by 9. This can also be written as 4 x 9 = 36. 4 multiplied by 9 is equal to 36 because 4 is being added to itself 9 times, resulting in 36.

4 x 9 is a multiplication problem which means we are multiplying 4 and 9 together. This can also be written as 4 x 9 = 36. When multiplying two numbers together, you are adding the first number to itself the second number of times. In this case, 4 multiplied by 9 is equal to 36 because we are adding 4 to itself 9 times: 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 = 36. This can also be written as 4 x 9 = 36, which means that 4 times 9 equals 36.

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Answer:

Hello,

Answer D

Step-by-step explanation:

\(x=ln(7.2)\\\\\Longleftrightarrow\ e^{x}=e^{ln(7.2)}\\\\\Longleftrightarrow\ e^{x}=7.2\\\\Answer\ D\)

Answer:

\(pr(x=6)=\frac{17}{28}\)

Step-by-step explanation:

Well the probabilities should all up to 1. This means pr(x<6) + pr(x=6) + pr(x>6) = 1.

So plugging in the known values we get: \(\frac{1}{7} + pr(x=6) + \frac{1}{4}=1\)

To make things easier, let's multiply the 1/7 by 4/4 and 1/4 by 7/7

\(\frac{4}{28}+pr(x=6)+\frac{7}{28}=1\)

Now combine like terms: \(pr(x=6)+\frac{11}{28}=1\)

Subtract 11/28 from both sides

\(pr(x=6)=\frac{17}{28}\)

Answer:

27x^6 y^9

z^9

Step-by-step explanation:

That should be the answer,if not...sorry!:)

The volume of the fish tank in the shape of a right circular cylinder with a radius of 3 in and a height of 10 in is 90π cubic inches.

Therefore the answer is 90π in³.

Recognize that the fish tank is in the shape of a right circular cylinder.

Remember that the formula for the volume of a cylinder is

V = πr^2h

where r is the radius and h is the height.

Plug in the given values for the radius (r = 3 inches) and the height (h = 10 inches) into the formula.

Perform the calculation:

πr^2h

= π(3^2)(10)

= π×9×10

= 90π cubic inches

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The amount (future value) that will be in Collin's bank account after investing £1,200 at 10% annual simple interest after 3 years will be £1,560.

Simple interest is the interest system that computes periodic interest on the principal only.

The formula for computing the future (amount) value at simple interest is given as A = P(1 + rt), where A is the future value, P is the principal, r is the simple interest rate, and t is the number of periods.

Principal invested in the bank account = £1200

Simple interest rate per year = 10%

The investment period = 3 years

The future value of the investment after 3 years = £1,560 (£1,200  x 1 + x 0.1 x 3).

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Answer:

5 days

Step-by-step explanation:

We can use ratios to solve

2 vacation days         x vacations days

------------------------  = ---------------------------

30 days worked            75 days worked

Using cross products

2 * 75 = 30 x

150 = 30x

Divide each side by 30

150/30 = 30x/30

5 =x

Answer: \(\Large\boxed{Total~vacation=5~days}\)

Step-by-step explanation:

Given information

2 vacations for every 30 days of work

Total days = 75 days

Find the rate for 1 vacation

30 days / 2 vacation

1 vacation = 30 ÷ 2 = 15 days

Given expression

Total vacation = Total days of work ÷ rate of 1 vacation

Substitute values into the given expression

Total vacation = (75) ÷ (15)

\(\Large\boxed{Total~vacation=5~days}\)

Hope this helps!! :)

Please let me know if you have any questions

The total surface area of the box, A, in terms of the height, h, is given by:

A = 6/h + 4lw

To express the total surface area, A, of the box in terms of the height, h, we need to consider the dimensions of the box and the formula for calculating the surface area.

Given that the top and bottom of the box are square, we can denote their side length as s. Since the top and bottom are square, their areas will be s^2 each.

The sides of the box are rectangular, so their areas will be given by the formula length x width. Let's denote the length of the sides as l and the width as w. Therefore, the area of each side will be lw.

To calculate the total surface area, we need to add the areas of all the sides. There are two square top and bottom surfaces and four rectangular side surfaces.

So, the total surface area, A, is given by:
A = 2s^2 + 4lw

Since the volume of the box is given as 3 cubic meters, we can express the dimensions in terms of the height, h, as follows:

Volume = length x width x height
3 = s^2h

Solving this equation for s^2, we get:
s^2 = 3/h

Now we can substitute this value into the equation for the total surface area:
A = 2(3/h) + 4lw

Therefore, the total surface area of the box, A, in terms of the height, h, is given by:
A = 6/h + 4lw

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To express the total surface area (A) of the box in terms of height (h), we use the formula for the volume of a rectangular box (length*width*height) with the volume set to 3 cubic meters. We also use the conditions that the top and bottom are squares. With these, we find dimensions in terms of h and then substitute them into the formula for total surface area of the box, which results in A = 6/h + 4*h*sqrt(3/h).

First, let's find the dimensions of the box. The volume of a rectangular box is calculated by multiplying the length, width and height. Since the top and bottom of the box are square, the length and width are both equal. So, let's denote these dimensions as s (for side of the square). Then the volume (V) of the box is given by V=s^2*h.

Substituting s=sqrt(3/h) into this formula we get: A=2*(sqrt(3/h))^2 + 4*sqrt(3/h)*h = 2*3/h + 4*h*sqrt(3/h) = 6/h + 4*h*sqrt(3/h).

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If the average annual stock return is 11. 3%, the average holds a portfolio of $8600 worth 30 years.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

It is given that, the average annual stock return is 11. 3% and you begin your investment portfolio with $2,000,

Suppose the amount he earns in one year is x,

x=  11. 3%. of $2,000

x=220

The portfolio be worth 30 years if the average holds are,

=220 × 30

=$ 6600

The net cost is the sum of the return and the initial investment,

=$ 6600 + $ 2000

=$8600

Thus, if the average annual stock return is 11. 3%, the average holds a portfolio of $8600 worth 30 years.

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Answer:

Multiply (y + x = 6) by -5 to eliminate the y term

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)

Step-by-step explanation:

Answer:

Step-by-step explanation:

rearrange the equation to the letter on the left side until you find an equation equal to one of the answers

Parallel lines are two straight lines that never cross. For this to happen, the lines have to have the same slope.

In this case, the equation given is in what's called "slope-intersect" form. The general form of the slope intercept formula is y=mx + b where m is the slope of the line and b is the point on the Y-axis where the line crosses.

The equation given is y=5x+3 and since the 5 is in the place of m from the general equation, 5 is the slope. Since parallel lines have the same slope, 5 is the answer.

Slope-Intercept Form:

When we're given a linear equation we can immediately see if it's in the slope-intercept form if it follows the format  y=mx+b. As long as y does not have a coefficient the slope and y-intercept are the values of m and b.

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The 3 combinations of coins with the value of 30% of a dollar are 2 dimes + 1 Nickel + 5 Pennies, 1 dime + 2 Nickels + 10 Pennies, 3 Nickels + 1 dime + 5 Pennies.

How many types of coins are there?

There are 4 types of coins. They are Quarter, Nickel, dime, and Penny.

1 Quarter = 25 cent

1 dime = 10 cents

1 Nickel = 5 cents

1 penny = 1 cent

Now calculate 30 percentage of a dollar.

1 dollar = 100 cents.

30% of 100 cents = (30/100) × 100 = 30 cents.

2 dimes + 1 Nickel + 5 Pennies = 20 cents + 5 cents + 5 cents = 30 cents

1 dime + 2 Nickels + 10 Pennies = 10 cents + 10 cents + 10 cents = 30 cents

3 Nickels + 1 dime + 5 Pennies = 15 cents + 10 cents + 5 cents = 30 cents

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The graph of the rational function f(x) can be sketched with the following features: a zero at x = -2, a vertical asymptote at x = 1, and a hole at x = 3.

The graph of f(x) will show a point of discontinuity at x = 3 due to the hole, a vertical asymptote at x = 1, and a zero at x = -2. The function will not change sign at x = -2 but will change sign at x = 1 and x = 3. It will approach 0 as x approaches both negative and positive infinity.

A possible equation for f(x) can be written as f(x) = (x + 2)/(x - 3)(x - 1). The factor (x + 2) creates the zero at x = -2, (x - 3) creates the hole at x = 3, and (x - 1) creates the vertical asymptote at x = 1. The numerator ensures that the function does not change sign at x = -2.

The graph of f(x) obtained from the equation satisfies the described behaviors. The zero at x = -2 is present since (x + 2) is a factor. The vertical asymptote at x = 1 is created by the factor (x - 1). The hole at x = 3 is introduced by the factor (x - 3). The function does not change sign at x = -2 because the numerator is positive for x < -2. The limit as x approaches both negative and positive infinity is 0, which is consistent with the behavior described.

By examining the graph and equation of f(x), it is evident that the given behaviors of the function are satisfied, providing a convincing explanation of how the graph and equation align with the specified characteristics.

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The object is cone and a cylinder combined,

So first we get the areas of both and sum the both.

TSA of a cylinder =2 πr+(r + h)

=2 π x (5)+(5+7)=43.41592654

Then the TSA of a cone

= πr(l + r)

π x5(11+5)=80 π

REMEMBER THEY HAVE THE SAME RADIUS SINCE THEY ARE JOINED!!

Therefore,

80 π + 43.41592654= 295cm squared to whole number

Answer:

200π cm².

Step-by-step explanation:

To find the total surface area of the solid made from a cone and a cylinder, we need to calculate the surface area of each component separately and then add them together.

1. Surface area of the cone:

The surface area of a cone can be calculated using the formula: πr(r + l), where r is the radius of the base and l is the slant height.

Given that the radius of the cone is 5 cm and the slant height is 11 cm, we can substitute these values into the formula to find the surface area of the cone.

Surface area of the cone = π(5)(5 + 11) = 80π cm²

2. Surface area of the cylinder:

The surface area of a cylinder can be calculated using the formula: 2πrh + 2πr², where r is the radius of the base and h is the height.

Given that the radius of the cylinder is also 5 cm and the height is 7 cm, we can substitute these values into the formula to find the surface area of the cylinder.

Surface area of the cylinder = 2π(5)(7) + 2π(5)² = 70π + 50π = 120π cm²

3. Total surface area:

To find the total surface area of the solid, we add the surface area of the cone to the surface area of the cylinder.

Total surface area = Surface area of the cone + Surface area of the cylinder

Total surface area = 80π + 120π

Total surface area = 200π cm²

Therefore, the total surface area of the solid, including the base, in terms of pi is 200π cm².

The symbolic translations of the given statements are P ∧ Q, P ∧ (Q ∨ R)

¬P ∧ ¬Q, ¬P ∧ ¬Q, P → (Q → R)

Let's translate the given statements into symbolic form using capital letters to represent affirmative English statements:

Both CSUB and UC Berkeley have great philosophy departments.

The symbolic translations of the given statements are P ∧ Q, P ∧ (Q ∨ R)

¬P ∧ ¬Q, ¬P ∧ ¬Q, P → (Q → R)

Let's represent the statement "CSUB has a great philosophy department" as P, and "UC Berkeley has a great philosophy department" as Q. Using the conjunction "both," we can translate the statement as P ∧ Q.

Drake sings pop and either Snoop Dogg raps or Action Bronson is rich.

Let's represent the statement "Drake sings pop" as P, "Snoop Dogg raps" as Q, and "Action Bronson is rich" as R. Using the conjunction "and" and the disjunction "either...or," we can translate the statement as P ∧ (Q ∨ R).

Both BMW and KTM do not make good motorcycles.

Let's represent the statement "BMW does not make good motorcycles" as P, and "KTM does not make good motorcycles" as Q. Using the conjunction "both" and the negation "not," we can translate the statement as ¬P ∧ ¬Q.

Neither Lamborghini nor Bugatti makes slow cars.

Let's represent the statement "Lamborghini makes slow cars" as P, and "Bugatti makes slow cars" as Q. Using the negation "neither...nor," we can translate the statement as ¬P ∧ ¬Q.

If Paul teaches Philosophy, then if mammals have lungs, then dogs and cats will compete for their owner's attention.

Let's represent the statement "Paul teaches Philosophy" as P, "mammals have lungs" as Q, and "dogs and cats will compete for their owner's attention" as R. Using the conditional "if...then" twice, we can translate the statement as P → (Q → R).

To summarize, the symbolic translations of the given statements are:

P ∧ Q

P ∧ (Q ∨ R)

¬P ∧ ¬Q

¬P ∧ ¬Q

P → (Q → R)

These symbolic representations capture the logical structure of the original statements, allowing for a concise and precise representation of their meaning.

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Answer:

15%

I like your demon slayer profile picture

Answer:

The answer is 15%.

Step-by-step explanation:

If 100 is 10% it only makes since that 15% is the right answer.

Hope This Helps!

The given series Σ (sin^2(n))/(n^8) converges. To determine the convergence or divergence of the series Σ (sin^2(n))/(n^8), we can use the Direct Comparison Test.

The Direct Comparison Test states that if 0 ≤ aₙ ≤ bₙ for all n and Σ bₙ converges, then Σ aₙ also converges. Similarly, if 0 ≤ aₙ ≥ bₙ for all n and Σ bₙ diverges, then Σ aₙ also diverges.

In our case, we have 0 ≤ (sin^2(n))/(n^8) ≤ 1/(n^8) for all n. We can compare it with the series Σ 1/(n^8), which is a p-series with p = 8.

Since the series Σ 1/(n^8) converges (as p > 1), we can conclude that Σ (sin^2(n))/(n^8) also converges by the Direct Comparison Test.

To prove the convergence of the series using the Direct Comparison Test, we need to show that 0 ≤ (sin^2(n))/(n^8) ≤ 1/(n^8) for all n.

First, we note that the sine squared term is always non-negative: sin^2(n) ≥ 0 for all n.

Next, we consider the denominator term (n^8). Since n ≥ 1, we have n^8 ≥ 1^8 = 1 for all n. Therefore, 1/(n^8) ≥ 0 for all n.

Combining these inequalities, we get 0 ≤ (sin^2(n))/(n^8) ≤ 1/(n^8) for all n.

Now, we compare the series Σ (sin^2(n))/(n^8) with the series Σ 1/(n^8). The series Σ 1/(n^8) is a p-series with p = 8, and p > 1, so it converges.

Since 0 ≤ (sin^2(n))/(n^8) ≤ 1/(n^8) for all n and Σ 1/(n^8) converges, we can conclude that Σ (sin^2(n))/(n^8) also converges by the Direct Comparison Test.

Therefore, the given series Σ (sin^2(n))/(n^8) converges.

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Answer:

3

(are there no other info?)

The correct steps that best describe the scientific method are:

The scientific method has five basic steps, plus one feedback step:

The scientific method is a systematic approach to scientific inquiry that involves a series of steps used to investigate, test, and understand natural phenomena

The process of the scientific method involves making conjectures (hypotheses), deriving predictions from them as logical consequences, and then carrying out experiments or empirical observations based on those predictions.

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The weighted-average unit contribution margin is $46.20.

The weighted-average unit contribution margin can be calculated by multiplying the unit contribution margin of each model by its respective sales mix percentage, and then summing up the results.

To find the weighted-average unit contribution margin, we first calculate the unit contribution margin for each model by subtracting the unit variable costs from the selling price:

For Model A12:

Unit contribution margin = Selling price - Unit variable cost

                     = $60 - $42

                     = $18

For Model B22:

Unit contribution margin = Selling price - Unit variable cost

                     = $120 - $84

                     = $36

For Model C124:

Unit contribution margin = Selling price - Unit variable cost

                     = $480 - $360

                     = $120

Next, we multiply each unit contribution margin by its respective sales mix percentage:

Weighted contribution margin for Model A12 = 60% * $18 = $10.80

Weighted contribution margin for Model B22 = 15% * $36 = $5.40

Weighted contribution margin for Model C124 = 25% * $120 = $30.00

Finally, we sum up the weighted contribution margins:

Weighted-average unit contribution margin = $10.80 + $5.40 + $30.00 = $46.20. Therefore, the weighted-average unit contribution margin is $46.20.

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