There are 30 m&ms in a bowl. Exactly 2/3 of the m&ms in a bowl are blue. How many m&ms are blue?

Blue = 5

Red = 8

Green= 3

Yellow= 7

Total candles = 5+8+3+7 = 23

Yellow and blue candles = 7+5 = 12

To find the probability divide the number of blue and yellow candles (12) by the total number of candles.

12/23 = 0.52

(2n + 1)² - (2n + 1) is an even number for all positive integral values of n.

How to simplify an expression?
Expressions are simplified when they are rewritten in a concise manner and without any similar phrases. When we combine like terms in an expression and, if necessary, solve all of the specified brackets, we are only left with unlike terms in the simplified expression that cannot be further reduced.
What is an even number?
An even number is any number that can be divided by 2 precisely. The last digit of an even number is always one of the following: 0, 2, 4, 6, or 8. Even numbers can include 2, 4, 6, 8, 10, 12, and 14. These are even numbers because they are simple to divide by two. It is important to remember that 2 is the smallest positive even natural number.

Given, the equation under consideration is y = (2n + 1)² - (2n + 1)
Upon simplifying and solving for y, we have:
y = (2n + 1)² - (2n + 1) = 4n² + 4n + 1 - 2n - 1 ⇒ y = 4n² + (4n - 2n) + (1 - 1)
⇒ y = 4n² + 2n + 0 ⇒ y = 2 (2n² + n) --(i)
On carefully analyzing (i), we can affirm that y is divisible by 2, thus confirming that (2n + 1)² - (2n + 1) is an even number for all positive integral values of n.
Therefore, (2n + 1)² - (2n + 1) is an even number for all positive integral values of n.

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The relative frequency is solved and the table of values is plotted

Given data ,

The lunch order is given by the 2 sets of dishes as

A = { Sandwich , Pastas }

Now , the sports activities are given by 2 sets as

B = { Volleyball , Swimming }

From the table of values , we get

The relative frequency is solved as

Relative Frequency = Subgroup frequency / Total frequency

The percentage of Swimming ( sandwich ) = 26/36

Swimming ( sandwich ) = 72 %

And , the percentage of Swimming ( pasta ) = 10/36

Swimming ( pasta ) = 28 %

Now , the percentage of total sandwich = 45/70 = 64 %

And , the percentage of total pasta = 25/70 = 36 %

Hence , the relative frequency is solved

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The probability that the top card is an Ace of Spades and the bottom card is a Queen of Hearts is extremely low, as there are 52 cards in a standard deck of cards and only two of those cards are an Ace of Spades and a Queen of Hearts.

Therefore, the probability of the top card being an Ace of Spades and the bottom card being a Queen of Hearts is 1/2652 or approximately 0.000038%.The probability of getting an Ace of Spades as the top card and a Queen of Hearts as the bottom card is 1/52 x 1/52 = 1/2652. This can be expressed as a percentage by multiplying the fraction by 100 which gives us 0.000038%. The probability that the top card is an Ace of Spades and the bottom card is a Queen of Hearts is extremely low, as there are 52 cards in a standard deck of cards and only two of those cards are an Ace of Spades and a Queen of Hearts.

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Answer:

increased = addition

twice = multiply by 2

is = equals

a number = x

16+2x=-56

subtract 16 from both sides

2x=72

divide by 2

x=36

Step-by-step explanation:

Answer:

y = -1/4x + 4

Step-by-step explanation:

x+4y=28

4y = -x + 28

y = -1/4x + 7

slope m = -1/4

Parallel lines have similar slope so we'll use -1/4 from above and given point (8,2) to find y-intercept.

y = mx +b

2 = -1/4(8) + b

2 = -2 + b

b = 4

Using m and b from above we can now form the new equation of line that is parallel to y = -1/4x + 7.

y = mx + b

y = -1/4x + 4

Answer:

someone help call the police candice just got shot

Step-by-step explanation:

ahahahahahahahhahaa

Answer:

3m

Step-by-step explanation:

1 month =3 movies

m month =3*m movies

The answer is B: As the sample size increases, the sample mean approaches the population mean, which is a key principle of the law of large numbers.

The law of large numbers states that as the sample size increases, the sample mean of a random variable will converge to the population mean. This means that as we collect more data and increase the sample size, the average of the sample will become more accurate and closer to the true population mean. In this context, as the sample size increases from 10 to 100 to 999, the sample means calculated from each sample become more precise estimates of the population mean of 10.

The larger the sample size, the less variability there is in the sample mean, leading to a better approximation of the population mean. Therefore, option B is the correct choice as it reflects the concept of the law of large numbers.

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Answer:

to make it easier let's convert the rate in year

so it will be (2.5×12)

we gotta find CA(compound amount)

P=PRINCIPAL=$400

R=RATE=(2.5×12)%

T=TIME=7 years

Using the given sample space, it is found that the types of pizza the customer may order is: {MG, MH, MO, LG, LH, LO}

The sample space is the set that contains all possible outcomes.

In this problem:

Thus, the possible outcomes are: {MG, MH, MO, LG, LH, LO}

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Answer:

15

because five times three is fifteen

Answer:

-0.76

Step-by-step explanation:

Answer:

-0.76

Step-by-step explanation:

this is pretty simple subtraction but you just take 14.36 and subtract it by 15.12 and you know it will be a negative number because 15.12 is bigger than 14.36 and so your answer is -0.76

When combining the like terms of 8+3a+7b-5+2a-7b, the result will be 5a+3

Given,

The expression =8+3a+7b-5+2a-7b

Rearrange the terms alphabetical order and combine the like terms

8+3a+7b-5+2a-7b =3a+2a+7b-7b+8-5

=(3+2)a+(7-7)b+(8-5)

=5a+0b+3

=5a+3

Hence, When combining the like terms of 8+3a+7b-5+2a-7b, the result will be 5a+3

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Answer:

-10/9

Step-by-step explanation:

Use the slope formula: s=(y2-y1)/(x2-x1)
It doesn't matter the order.

Let's say 0 is x2 and 5 is y2; 9 is x1 and -5 is y1

Plug in the equation: s=[(5)-(-5)]/[(0)-(9)]

Simplify and solve: s=[5+5]/[-9]
                               s = -10/9

Answer:

3861.75

Step-by-step explanation:

i hope its the good answer

Answer:

With x=8, it means the line is vertical (up and down), it also means it is undefined.

In order to find the parallel line, it has to have the same slope. Different b value (mx+b, but the m has to be the same).

Step-by-step explanation:

The eigenvalue method involves finding eigenvalues and eigenvectors of a matrix, using them to construct the general solution, and then obtaining the particular solution by applying initial conditions.

To apply the eigenvalue method, we start by writing the given system of equations in matrix form:

X' = AX,

where X = [x₁, x₂]ᵀ is the column vector of the variables, X' represents the derivative with respect to time, and A is the coefficient matrix:

A = [9 5]

   [-6 -2]

Next, we find the eigenvalues and eigenvectors of matrix A. The eigenvalues (λ) satisfy the equation |A - λI| = 0, where I is the identity matrix. Solving this equation, we get:

|9 - λ  5|

|-6  -2 - λ| = 0

Expanding the determinant and solving, we find two eigenvalues:

λ₁ = -1, λ₂ = 10.

To find the eigenvectors corresponding to each eigenvalue, we substitute them back into the equation (A - λI)v = 0, where v is the eigenvector. Solving these equations, we obtain two linearly independent eigenvectors:

v₁ = [1, -2]ᵀ, v₂ = [1, 3]ᵀ.

The general solution of the system is then given by:

X = c₁e^(λ₁t)v₁ + c₂e^(λ₂t)v₂,

where c₁ and c₂ are constants. Substituting the values of the eigenvalues and eigenvectors, we have:

X = c₁e^(-t)[1, -2]ᵀ + c₂e^(10t)[1, 3]ᵀ.

To find the particular solution corresponding to the initial conditions x₁(0) = 1 and x₂(0) = 0, we substitute these values into the general solution and solve for the constants:

[1, 0]ᵀ = c₁[1, -2]ᵀ + c₂[1, 3]ᵀ.

Solving this system of equations, we find c₁ = -1/3 and c₂ = 4/3.

Therefore, the particular solution corresponding to the initial conditions is:

X = -1/3e^(-t)[1, -2]ᵀ + 4/3e^(10t)[1, 3]ᵀ.

Note: The solution is real and does not have complex parts.

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The given bounded region is the set

\(R = \left\{(x,y) ~:~ 0 \le x \le 1 \text{ and } x^4 \le y \le x^{1/4} \right\}\)

assuming the curves are \(y=x^4\) and \(x=y^4\implies y=x^{1/4}\) (since \(x>0\) in the first quadrant).

The coordinates of the centroid are \((\bar x, \bar y)\) where \(\bar x\) and \(\bar y\) are the average values of \(x\) and \(y\), respectively, over the region \(R\). These are given by the ratios

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

Compute the area of \(R\).

\(\displaystyle \iint_R dA = \int_0^1 \int_{x^4}^{x^{1/4}} dy \, dx \\\\ ~~~~~~~~ = \int_0^1 \left(x^{1/4} - x^4\right) \, dx \\\\ ~~~~~~~~ = \frac45 - \frac15 = \frac35\)

Integrate \(x\) and \(y\) over \(R\).

\(\displaystyle \iint_R x \, dA = \int_0^1 \int_{x^4}^{x^{1/4}} x \, dy \, dx \\\\ ~~~~~~~~ = \int_0^1 x \left(x^{1/4} - x^4\right) \, dx \\\\ ~~~~~~~~ = \int_0^1 \left(x^{5/4} - x^5\right) \, dx \\\\ ~~~~~~~~ = \frac49 - \frac16 = \frac5{18}\)

\(\displaystyle \iint_R y \, dA = \int_0^1 \int_{x^4}^{x^{1/4}} y \, dy \, dx \\\\ ~~~~~~~~ = \frac12 \int_0^1 \left((x^{1/4})^2 - (x^4)^2\right) \, dx \\\\ ~~~~~~~~ = \frac12 \int_0^1 \left(x^{1/2} - x^8\right) \, dx \\\\ ~~~~~~~~ = \frac12 \left(\frac23 - \frac19\right) = \frac5{18}\)

Then the centroid's coordinates are

\(\bar x = \dfrac{\frac5{18}}{\frac35} = \boxed{\frac{25}{54}} \approx 0.463\)

\(\bar y = \dfrac{\frac5{18}}{\frac35} = \boxed{\frac{25}{54}}\)

Answer:

4th answer is correct

Step-by-step explanation:

First, let us make x the subject.

\(\sf \frac{x+4}{4} =\frac{y+7}{7}\)

Use cross multiplication.

\(\sf 7(x+4)=4(y+7)\)

Solve the brackets.

\(\sf 7x+28=4y+28\)

Subtract 28 from both sides.

\(\sf 7x=4y+28-28\\\\\sf7x=4y\)

Divide both sides by 7.

\(\sf x=\frac{4y}{7}\)

Now let us find the value of x/4.

To find that, replace x with (4y/7).

Let us find it now.

\(\sf \frac{x}{4} =\frac{\frac{4y}{7} }{4} \\\\\sf \frac{x}{4} =\frac{4y}{7}*\frac{1}{4} \\\\\sf \frac{x}{4} =\frac{4y}{28}\\\\\sf \frac{x}{4} =\frac{y}{7}\)

the mathematical statement "a number n increased by 16" is equivalent to the algebraic expression:

n + 16

Here we have a mathematical statement which says "a number n increased by 16"

An "increase" is a sum. So the mathematical expression will just be the addition between a number (which we will denote with the variable n) and 16.

n + 16.

Concluding, the mathematical statement "a number n increased by 16" is equivalent to the algebraic expression:

n + 16

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Answer:

The area of a parallelogram with adjacent sides u and v is given by the magnitude of the cross product of u and v:

A = |u x v|

We can find the cross product as follows:

u x v = (8)(-1) - (0)(-2), -(9)(-2) - (-3)(1), (9)(2) - (-3)(8) = (-8, -15, 42)

So the area of the parallelogram is:

A = |(-8, -15, 42)| = √(8^2 + 15^2 + 42^2) ≈ 46.09 square units

(a) The triple scalar product of three vectors u, v, and w is given by:

u . (v x w)

We can find the cross product v x w as follows:

v x w = (2)(1) - (-2)(1), (-2)(3) - (0)(1), (0)(1) - (2)(1) = (4, -6, -2)

So the triple scalar product is:

u . (v x w) = (-3)(4) - (4)(-6) - (-1)(-2) = -12 + 24 - 2 = 10

(b) The volume of a parallelepiped with adjacent edges u, v, and w is given by the scalar triple product of u, v, and w:

V = |u . (v x w)|

We already found u . (v x w) in part (a), so we just need to take the absolute value:

V = |10| = 10 cubic units

To find the distance from point P to the plane, we can use the formula:

d = |ax + by + cz + d| / sqrt(a^2 + b^2 + c^2)

where the equation of the plane is given by ax + by + cz + d = 0. In this case, we have:

a = 4, b = -1, c = 3, and d = -9

So the equation of the plane is 4x - y + 3z - 9 = 0. To find the distance from point P(2, 8, -7), we plug in these values:

d = |(4)(2) + (-1)(8) + (3)(-7) - 9| / sqrt(4^2 + (-1)^2 + 3^2) ≈ 5.61 units

Therefore, the distance from point P to the plane is approximately 5.61 units.

rate5* po and give thanks for more po! your welcome!

Answer:

Step-by-step explanation:

There is likely to be correlation between the number of movie tickets purchased and the total cost of those tickets but not causation.

'There is likely to be correlation between the number of movie tickets purchased and the total cost of those tickets but not causation.' This statement best interprets their results.

It is a relationship between two variables or events. However, one  variable doesn't actually cause the other.

Causation can be applied on two events or variables where variable 2 causes the variable 1.

The class collects data on the number of purchased and the total cost of those tickets.

Let, for a particular time period, this observation is recorded.

Hence, the number of movie tickets purchased and the total cost of those tickets this must be correlation. It can't be causation. Option: A is right.

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Michael is now (B) 6 years old.

Let's start by defining variables for the current ages of Norman and Michael.

Let N be Norman's current age, and M be Michael's current age.

From the problem statement, we know that N = M + 12 (Norman is 12 years older than Michael).

We also know that in 6 years, Norman will be twice as old as Michael.

So we can set up the following equation:

N + 6 = 2(M + 6)

Substituting N = M + 12 into the equation, we get:

M + 12 + 6 = 2(M + 6)

Simplifying:

M + 18 = 2M + 12

M = 6

Therefore, Michael is currently 6 years old.

Answer: (B) 6

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The episode with commercials consists of 60 minutes, and without those, it consists of 41.5minutes; therefore, 60-41.5=18.5 minutes are only commercials when the episode airs.

Divide those 18.5minutes into intervals of 0.5 minutes by calculating

Therefore, the equation is

Solving for c,

Then, the episode included 37 1/2-minute commercials.

The value of the equation 6 + 3p = 4p + 7 is 1

Reorder the terms:

6 + 3p = 7 + 4p

Solving for the value of p by collecting like terms

6 + 3p = 7 + 4p

Move all terms containing p to the left, all other terms to the right.

Add '-4p' to each side of the equation.

-6 + 3p + -4p = -7 + 4p + -4p

Combine like terms: 3p + -4p = -1p

-6 + -1p = -7 + 4p + -4p

Combine like terms: 4p + -4p = 0

-6 + -1p = -7 + 0

-6 + -1p = -7

Add '6' to each side of the equation.

-6 + 6 + -1p = -7 + 6

Combine like terms: -6 + 6 = 0

0 + -1p = -7 + 6

-1p = -7 + 6

Combine like terms: -7 + 6 = -1

-1p = -1

Divide each side by '-1'.

p = 1

Simplifying

p = 1

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Answer:

Its c

Step-by-step explanation:

i just did it on edge

C is correct.

Equation: t = 25 + 8.25w, where w is the number of weeks and t is the total Aaliyah saved.

What is the error that occurred when Aaliyah completed her table? The ordered pair (132.25, 13) should be (13,  132.25).

Answer:

African American culture is correct !

The equation of the plane containing the intersecting lines L1 and L2 is 2x - y + z = 3.

To find the equation of the plane containing the intersecting lines, we first need to determine the direction vectors of the lines. For L1, the direction vector is ⟨1, 1, 1⟩, and for L2, the direction vector is ⟨1, -3, -1⟩.

Next, we find a vector that is perpendicular to both direction vectors. This can be done by taking the cross product of the direction vectors. The cross product of ⟨1, 1, 1⟩ and ⟨1, -3, -1⟩ gives us the normal vector of the plane, which is ⟨2, -1, -4⟩.

Now that we have the normal vector, we can use the coordinates of a point on one of the lines, such as ⟨1, 4, -1⟩ from L1, to find the equation of the plane. The equation of a plane can be written as ax + by + cz = d, where (a, b, c) is the normal vector and (x, y, z) represents any point on the plane. Plugging in the values, we get 2x - y + z = 3 as the equation of the plane containing the intersecting lines L1 and L2.

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Answer:

10.25$

Step-by-step explanation:

Answer:

14 euro Im pretty sure I'm no expert tho