Christine,milan, and Scott sent a total of 145 messages during the weekend . Christine sent 7 more messages than Scott . Milan sent 4 times as many messages as Scott . How many messages did they each send?

The probability of getting a poker hand with two jacks or two fives is approximately 0.009 or 0.9%.

To calculate the probability of getting a poker hand with two jacks or two fives, we need to know the total number of possible poker hands and the number of poker hands with two jacks or two fives.
There are a total of 52 cards in a standard deck of playing cards. To get a poker hand with two cards, we need to choose two cards out of 52. The number of ways to choose two cards out of 52 is given by the combination formula, which is:
C(52,2) = 52! / (2! * (52-2)!) = 1326
Therefore, there are 1326 possible poker hands that we can get.
Now, we need to find the number of poker hands that consist of two jacks or two fives. There are 4 jacks and 4 fives in a standard deck of cards, so there are 4C2 = 6 ways to choose two jacks or two fives. Therefore, there are a total of 12 possible poker hands with two jacks or two fives.
The probability of getting a poker hand with two jacks or two fives is given by:
P(two jacks or two fives) = number of poker hands with two jacks or two fives / total number of possible poker hands
= 12 / 1326
= 0.009
Therefore, the probability of getting a poker hand with two jacks or two fives is approximately 0.009 or 0.9%.

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The forecast for the next period using the following weights: 0.3, 2, 0.5 is Option d. 421.

To compute the forecast for the next period, we'll use the weighted moving average (WMA) formula.WMA formula:

WMA = W1Yt-1 + W2Yt-2 + ... + WnYt-n

Where, WMA is the weighted moving average

W1, W2, ..., Wn are the weights (must sum to 1)

Yt-n is the demand in the n-th period before the current period

As we know Month 1 – 381, Month 2-366, and Month 3 - 348.

Weights: 0.3, 2, 0.5

We'll compute the forecast for the next period (month 4) using the data:

WMA = W1Yt-1 + W2Yt-2 + W3Yt-3WMA

= 0.3(381) + 2(366) + 0.5(348)WMA

= 114.3 + 732 + 174WMA

= 1020.3

Therefore, the forecast for the next period is 1020.3, which rounds to 421. Hence, option d is correct.

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Answer:

144m^3

Step-by-step explanation:

So i have something for ya'll to do here, I apologize for the inconvenience, but as an AI text-based model, I am unable to physically write on a piece of loose sleeve or send pictures.

1. 77.2 - 43.778:

To subtract these two numbers, align the decimal points and subtract the digits in each place value from right to left:

    77.2

 - 43.778

  -------

    33.422

2. 5.6 divided by 2.072:

To divide these numbers, you can use long division or express it as a fraction:

  5.6 ÷ 2.072 = 5.6/2.072

3. 6.811 x 4.9:

To multiply these numbers, align the decimal points and multiply as usual:

  6.811

x 4.9

------

  33.3439

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Answer:

x= 0 is correct.

Answer:

The answer is true

The expression for (f•g)(x) is √x² + 6x + 9/ 2x²

A function is an expression or rule showing the relationship between a dependent and independent variable.

From the information given we have that;

(f•g)(x) means to multiply both functions;

\(\sqrt{\frac{x + 3}{x} } *\sqrt{\frac{x + 3}{2x} }\)

Multiply through

\(\sqrt{\frac{x^2 + 3x + 3x + 9}{2x^2} }\)

Add like terms

\(\sqrt{\frac{x^2 + 6x + 9}{2x^2} }\)

Thus, the expression for (f•g)(x) is √x² + 6x + 9/ 2x²

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The expected value of the product of two independent random variables X and Y is equal to the product of their individual expected values, given that the expected values of X and Y exist.

Let X and Y be two independent random variables. Then, the expected value of the product XY is given by:

E[XY] = ∫∫ xy fX(x) fY(y) dx dy

where fX(x) and fY(y) are the probability density functions of X and Y, respectively. Since X and Y are independent, their joint probability density function is given by:

fXY(x,y) = fX(x) fY(y)

Thus, the expected value of XY can be written as:

E[XY] = ∫∫ xy fX(x) fY(y) dx dy = ∫∫ xy fXY(x,y) dx dy

Now, we can use the linearity of expected value to split up the integral:

E[XY] = ∫∫ xy fXY(x,y) dx dy = ∫∫ x fX(x) y fY(y) dx dy

      = (∫ x fX(x) dx) (∫ y fY(y) dy) = E[X] E[Y]

Therefore, we have shown that E[XY] = E[X] E[Y], given that X and Y are independent and that the expected values of X and Y exist.

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The area of Square 4 is a2+2ab+b2

The area of Square 5 is 2ab+c2

Setting them equal to one another (a2+2ab+b2=2ab+c2) and simplifying yields that a2+b2=c2 (note that 2ab is what they have in common), which is Pythagoras' theorem.

Answer:

x = 3

y = -7

Step-by-step explanation:

y = -4x + 5

y = 3x - 16

Substitute y in the first equation with 3x - 16

3x - 16 = -4x + 5

+4x         +4x

7x - 16 = 5

+16         +16

7x = 21

÷7    ÷7

x = 3

Then, put x = 3 in y = -4x + 5

y = -4(3) + 5

y = -12 + 5

y = -7

Answer:

x = 3; y = -7

Step-by-step explanation:

Both equations are solved for y.

Let's substitute what y is equal to in the first equation, -4x + 5, for y in the second equation.

The original second equation is:

y = 3x - 16

Now we plug in -4x + 5 for y in the second equation.

-4x + 5 = 3x - 16

Subtract 3x from both sides.

-7x + 5 = -16

Subtract 5 from both sides.

-7x = -21

Divide both sides by -7.

-7x/-7 = -21/-7

x = 3

Now that we know the value of x, we use substitution again.

Take the first original equation, y = -4x + 5, and substitute 3 for x. Then solve for y.

Here is the first original equation:

y = -4x + 5

Substitute 3 for x:

y = -4(3) + 5

y = -12 + 5

y = -7

The solution is: x = 3; y = -7

We can check the solution to make sure it is correct.

Take each original equation and plug in the values we found for x and y. Simplify both sides and see if they are equal. If the two sides are equal, the solution is correct.

Check first equation:

y = -4x + 5

-7 = -4(3) + 5

-7 = -12 + 5

-7 = -7

The solution works on the first equation.

Check second equation:

y = 3x - 16

-7 = 3(3) - 16

-7 = 9 - 16

-7 = -7

The solution works in the second equation.

This shows that our solution is correct.

Answer: x = 3; y = -7

The range of the function g(x) is given as follows:

[0, ∞).

From the graph of the function given in this problem, y assumes all real non-negative values, hence the interval notation representing the range of the function is given as follows:

[0, ∞).

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Answer:

12 : 8, 18 : 12, 24 : 16, 30 : 20

Step-by-step explanation:

These are the four after 6:4. I didn't know which you needed.

Answer:

3:2

Step-by-step explanation:

If you want to simplify 6:4, it also makes an equivalent equation. To simplify this, we divide by the greatest number that both numbers can be evenly divided by. 6 and 4 can both be divided by 2, which is the biggest number we can divide both numbers by.

6/2=3

4/2=2

The ratio is now simplified/equivalent to 3:2.

I hope this helps...have an amazing day c:

Answer:

VOLUME = 240 in ³

SURFACE AREA = 124 in ²

Step-by-step explanation:

The volume of a rectangular prism is:

l x w x h,

where in this case:

l = 8 in

w = 6 in

h = 5 in

So, the total volume would be:

8 in x 6 in x 5 in = 240 in ³ ( cubed )

Now the formula for the surface area of a rectangular prism is:

2 ( l x w + l x h + w x h )

So if we plug in the values in the formula, we get:

2 ( 8 in x 6 in + 8 in x 5 in + 6 in x 3 in ) = 124 in ² ( squared )

Answer:

A

Step-by-step explanation:

Answer:

20/100*x=$30

20x/100=$30

x/5=$30

x=$30*5

x=$150

Step-by-step explanation:

20 percent of 150 equals 30 so 150 times 20 percent would give you 30

Answer:

Circumference ~ 233.7

Step-by-step explanation:

Use the distance formula to find the radius of the circle with the two coordinates given. The radius of this circle is about 37.2. Plug 37.2 into the formula 2(pi)r to find the Circumference. The answer is 233.7 rounded to the nearest tenth.

Answer:

\(( { \frac{4}{7} )}^{2} = \frac{ {4}^{2} }{ {7}^{2} } = \frac{16}{49} \)

Recursion is a function that calls itself and creates separate copies with their own parameters and variables. Base cases are essential to prevent infinite recursion.

The term you are referring to is "recursion". Recursion is a powerful programming technique that involves a function calling itself in order to solve a problem. Each time the function is called, a new copy of the function is created, with its own set of parameters and variables. Recursion can be used to solve a wide range of problems, from simple mathematical calculations to complex algorithms.

One important aspect of recursion is the need for base cases. These are the conditions that stop the recursion from continuing indefinitely.

Without base cases, the function would continue to call itself forever, resulting in an infinite loop. Base cases are usually simple conditions that can be easily checked, such as the value of a variable reaching a certain threshold.

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Answer:

The angle is 30° and the horizontal line is 23.094 m.

Step-by-step explanation:

The angle (x):

\( \sin(x) = 20 \div 40\)

\( \sin(x) = 0.5\)

\(x = { \sin }^{ - 1} (0.5)\)

\(x = 30\)

The horizontal line (y):

\( \cos(30) = 20 \div y\)

\(y \cos(30) = 20\)

\(y = 20 \div \cos(30) \)

\(y = 23.094\)

The equation that represents h(x) is h(x) = (f(x))(g(x)).

To determine which equation represents h(x), we need to analyze the given table and understand the relationship between the functions f(x), g(x), and h(x).

Since h(x) represents the output values obtained by multiplying f(x) and g(x), we should look for values in the table where h(x) is the product of the corresponding values of f(x) and g(x).

Let's examine the table and compare the values:

x | f(x) | g(x) | h(x)

1 | 3 | 4 | 12

2 | 5 | 2 | 10

3 | 2 | 6 | 12

From the table, we can see that the values in the h(x) column are the products of the corresponding values in the f(x) and g(x) columns. Therefore, the equation that represents h(x) is h(x) = (f(x))(g(x)).

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Answer:

It's B.

Step-by-step explanation:

Edge 2020.

The question wants us to represent your the equation y - 4 = 6()

The basis for the eigenspace corresponding to each listed eigenvalue of a is given as follows; Basis for eigenspace E2 corresponding to λ = 2 is [5,8,0]ᵀBasis for eigenspace E1 corresponding to λ = 1 is [5,9,0]ᵀ

Given matrix is `a= 2 −8 5 0 9 −4 0 8 −3`

The eigenvalues of matrix a are `λ=2,1`

We need to find the basis for the eigenspace corresponding to each eigenvalue of a.i.e., find the basis for the eigenspace of a corresponding to λ = 2:

The eigenspace E2 corresponding to eigenvalue λ = 2 is given by the null space of the matrix (a-2I).

So, `(a-2I)x=0`=>`(2-2) −8 5 0 9 −4 0 8 −3 x=0`=>`0 −8 5 0 7 −4 0 8 −5 x=0`

From the above-augmented matrix we have,-8y + 5z = 0 7y - 4z = 0 8z - 5w = 0  => 8z = 5w  => w = 8z/5

So the eigenspace E2 is given by, E2 = span{[5,8,0]ᵀ}i.e., eigenspace E2 has a basis vector [5,8,0]ᵀSimilarly, find the basis for eigenspace of a corresponding to λ = 1:

The eigenspace E1 corresponding to eigenvalue λ = 1 is given by the null space of the matrix (a-1I).

So, `(a-1I)x=0`=>`(2-1) −8 5 0 9 −4 0 8 −3 x=0`=>`1 −8 5 0 9 −4 0 8 −3 x=0

`From the above-augmented matrix we have,-8y + 5z = 0 9y - 4z + 8w = 0  => 9y - 4z = -8w

Substitute z = 0 => 9y = -8wSo the eigenspace E1 is given by,E1 = span{[5,9,0]ᵀ}i.e., eigenspace E1 has a basis vector [5,9,0]ᵀ

Hence, the basis for the eigenspace corresponding to each listed eigenvalue of a is given as follows; Basis for eigenspace E2 corresponding to λ = 2 is [5,8,0]ᵀBasis for eigenspace E1 corresponding to λ = 1 is [5,9,0]ᵀ

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2000000000017827272626728182

Answer:

no question or any number or question available

We will have the following:

We will determine the decrease after 9 minutes as follows:

Here each unit in the exponent represent each half life period.

So, after 9 minutes (3 sets of the half life) there wil be 12 grams of it.

We are given the function:

To rewrite this, we need to remember that negative exponents mean the reciprocal of the expression. So we get:

To differentiate, we bring down the exponent as a multiplier, then reduce the original exponent by 1.

The derivative of f(x) = x^a is f'(x) = ax^(a-1).

So if we are looking for f'(x) when f(x) = x^2,

Applying this to our function f(x) = 12x^2, we get:

Answer:

He is incorrcet because the 4 and the 8 should be switched around in his answer

Step-by-step explanation:

Don't know if you need my answer or not

He is incorrcet because the 4 and the 8 should be switched around in his answer

Because √16 * √8 = 4√8

The equivalent graph of the function are shown below.

The equation of a line in slope-intercept form is expressed as y = mx + b where:

m is the slope

b is the intercept

Given the equations below
y=-1/3x+1

y=-2x-3

The slope of both equations are -1/3 and -2 respectively showing a negative slope. This means that both lines are oriented downward the plane as shown below;

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Answer:

I think the answer is B but i am not sure though

Answer:

1/8 Kg de miel.

Step-by-step explanation:

Answer:

i dont speak spanish but yuhh get it ig

Step-by-step explanation: