Solve the equation and show your work. M+7-5=20

1.)  Probabilities range from 0 to 1, denoting impossibility and certainty, respectively.

2.) The sum of probabilities of all possible outcomes is equal to 1.

1.) Individual probabilities will always have values between 0 and 1. This property is known as the "probability bound." Probability is a measure of uncertainty or likelihood, and it is represented as a value between 0 and 1, inclusive.

A probability of 0 indicates impossibility or no chance of an event occurring, while a probability of 1 represents certainty or a guaranteed outcome.

Any probability value between 0 and 1 signifies varying degrees of likelihood, with values closer to 0 indicating lower chances and values closer to 1 indicating higher chances. In simple terms, probabilities cannot be negative or greater than 1.

2.) The sum of the probabilities of all individual outcomes must equal 1. This principle is known as the "probability mass" or the "law of total probability." When considering a set of mutually exclusive and exhaustive events, the sum of their individual probabilities must add up to 1.

Mutually exclusive events are events that cannot occur simultaneously, while exhaustive events are events that cover all possible outcomes. This property ensures that the total probability accounts for all possible outcomes and leaves no room for uncertainty or unaccounted possibilities.

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Answer:

Pour déterminer le nombre de gélules de 500 mg de paracétamol que l'usine de fabrication peut produire à partir de 5 tonnes de paracétamol, nous devons effectuer quelques conversions.

Tout d'abord, nous devons convertir les 5 tonnes en milligrammes, car la quantité de paracétamol par gélule est exprimée en milligrammes.

1 tonne équivaut à 1 000 000 de grammes (ou 1 000 000 000 de milligrammes). Donc, 5 tonnes équivalent à 5 000 000 de grammes (ou 5 000 000 000 de milligrammes).

Maintenant, pour déterminer le nombre de gélules de 500 mg que nous pouvons produire, nous divisons la quantité totale de milligrammes par le dosage de chaque gélule.

Nombre de gélules = Quantité totale de milligrammes / Dosage par gélule

Nombre de gélules = 5 000 000 000 mg / 500 mg

Nombre de gélules = 10 000 000

Donc, à partir de 5 tonnes de paracétamol, l'usine de fabrication peut produire 10 000 000 de gélules de 500 mg chacune.

Answer:

160:760

Step-by-step explanation:

The area of the parallelogram with sides determined by the vectors A = [3, -2, 7) and B = (-1, -5, 4) is equal to 13 square units.

The area of the parallelogram with sides determined by the vectors

A = [3, -2, 7) and B = (-1, -5, 4) can be found using the cross product of these two vectors.

Let's compute the cross product of vectors A and B as follows:

|  i        j        k  |     |3     -2     7  |     |-1    -5     4  ||

 =  (4 i - 13 j - 13 k) sq.units

| 3       -2        7  |     | -1    -5      4  |

Now, we have that the magnitude of the cross product of vectors A and B is  sq.units. Therefore, the area of the parallelogram with sides determined by the vectors A = [3, -2, 7) and B = (-1, -5, 4) is equal to 13 square units.

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Answer:

4 gallons

Step-by-step explanation:

you multiply 200/1 by 1/50 and then solve. So it would be 200/50 or 4 gallons.

The diameter of a wire significantly impacts its strength, range, and stiffness.

1. Strength: As the diameter of a wire increases, its overall strength improves. A larger cross-sectional area allows the wire to withstand greater forces before breaking. This is because the increased material can distribute force more effectively, resulting in enhanced tensile strength.

2. Range: The diameter of a wire also influences its range or length. Thicker wires tend to have shorter range capabilities compared to thinner wires. As the diameter increases, the weight and stiffness of the wire rise as well, making it harder to extend or coil over long distances. Conversely, thinner wires are more flexible and lightweight, enabling them to cover greater lengths.

3. Stiffness: Lastly, the diameter of a wire impacts its stiffness, which is the resistance of the wire to bending or deformation. With a larger diameter, the stiffness of the wire increases due to the higher amount of material present. This means that it requires more force to bend or change the shape of the wire, resulting in greater rigidity. On the other hand, wires with smaller diameters are more pliable and can easily be bent or manipulated.

In summary, the diameter of a wire plays a crucial role in determining its strength, range, and stiffness. Thicker wires exhibit enhanced strength and stiffness but may have limited range capabilities, while thinner wires are more flexible and suitable for longer distances but may not be as strong or rigid.

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Answer: The median is 7 and the mode is 3

Step-by-step explanation:

Check the picture below.

The correct statement regarding the normality of the distribution is option B: PC < -1, the distribution is not normal.

To check for normality, we can use the Pearson correlation coefficient (PC) between the observed data and the corresponding normal scores. The PC measures the strength and direction of the linear relationship between two variables. If the data follows a normal distribution, the PC should be close to zero.

Calculating the PC for the given data, we need to compare the observed ranks of the data with the expected ranks from a normal distribution. If the PC is significantly different from zero, it indicates a departure from normality.

In this case, without the specific values of the ranks or further calculations, we can determine that the PC is less than -1. This indicates a strong negative linear relationship and suggests that the distribution is not normal.

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The revised strategy of picking 3 numbers from the array uniformly, sorting the 3 numbers, and using the middle of the 3 as the pivot results in a higher probability of finding a pivot in the "middle half" and a lower expected number of times that we have to pick until we find one that is in the "middle half".

The probability that our chosen pivot item is in the "middle half" using the revised strategy is 3/4. This is because we are now picking 3 numbers from the array uniformly and using the middle of the 3 as the pivot. The probability that the first number is in the "middle half" is 1/2, the probability that the second number is in the "middle half" is 1/2, and the probability that the third number is in the "middle half" is 1/2. The probability that at least one of these numbers is in the "middle half" is 1 - (1/2)*(1/2)*(1/2) = 3/4.

The expected number of times that we have to pick in this manner until we find one that is in the "middle half" is 1/(3/4) = 4/3. This is because the probability of finding a pivot in the "middle half" using this revised strategy is 3/4, so the expected number of times we have to pick is the inverse of this probability.

Overall, the revised strategy of picking 3 numbers from the array uniformly, sorting the 3 numbers, and using the middle of the 3 as the pivot results in a higher probability of finding a pivot in the "middle half" and a lower expected number of times that we have to pick until we find one that is in the "middle half".

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Answer: AB=12

Los triangulos BCD y ADE son iguales por tener dos lados y el angulo comprendido respectivamente iguales. por tanto AE=DC=4

Luego AB = AE+EB = 4+8 = 12

The correct sketch of the electric field of a quadrupole is option D. This is because a quadrupole consists of two positive charges and two negative charges arranged in a specific pattern that creates a unique electric field.

A quadrupole is a type of electric charge configuration in which two positive and two negative charges are arranged in a specific pattern. The positive and negative charges are arranged in such a way that they create a unique electric field that is used in many scientific applications, such as particle accelerators and mass spectrometers.

The electric field of a quadrupole is characterized by its unique shape. It is made up of two components: a quadrupolar component and a dipolar component. The quadrupolar component is stronger than the dipolar component and gives the field its characteristic four-lobed shape.

Option D is the correct sketch of the electric field of a quadrupole because it shows the four-lobed shape that is characteristic of a quadrupole.

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Answer:

3

Step-by-step explanation:

A simple way to solve this is by substituting, we start with trying 1 for x, 2+6=8, and 1+9=10. Because the two values are different, that means 1 is the incorrect value. We can try 2, 4+6=10, and 2+9=11, once again inequivalent. We finally try 3, and 6+6=12 and 3+9=12 meaning x must be 3

Answer:

$30600

Step-by-step explanation:

The selling price is $180,000

The commission rate is 17% of this

(17/100) * 180000 = 30600

A real number is in between 14 square root and 15 square root is 3.8.

It should be noted that real numbers include rational and irrational numbers.

✓14 = 3.74

✓15 = 3.87

Therefore, a real number is in between 14 square root and 15 square root is 3.8.

It should be noted that this implies a number that can be sent between the square roots.

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The value of the number will be;

⇒ x = - 11

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The algebraic expression is,

''Three times the quantity of a number increased by 7 is equal to the same number decreased by 15''

Now,

Let the quantity of a number = x

So, We can formulate;

⇒ 3x + 7 = x - 15

Solve for x as;

⇒ 3x - x = - 15 - 7

⇒ 2x = - 22

⇒ x = - 11

Thus, The value of the number will be;

⇒ x = - 11

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Answer:

$50 per hour

Step-by-step explanation:

$10+$40=$50

Answer:$50

Step-by-step explanation:HOPE IT HELPS ☺

Answer:

-45j-9k

Step-by-step explanation:

multiply -9 into 5j and k

95% is greater than 0.9 95%>0.9

The water pipe sometimes bursts in winter because of the flowing water getting transformed into freezing water due to drop in temperature and the volume increases creating more pressure on the wall pipes.

Bursting of Water Pipes During a Very Cold Winter

The straightforward explanation is that during very cold winters, as water freezes into ice, it expands, causing solid ice to fill a larger volume than the liquid that was previously flowing through the pipes.

As we know that, the pressure P increases with increase in volume, V, the increased volume of frozen water leads to increase in the pressure inside the pipe.

The pressure that the ice builds up inside the pipes could rupture the pipe walls.

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Answer:

243

Step-by-step explanation:

3^5  in standard form

3*3*3*3*3

243

Answer:

La masa del recipiente vacío es 1,2146 kg.

Step-by-step explanation:

La densidad se define como la propiedad que tiene la materia, ya sean sólidos, líquidos o gases, para comprimirse en un espacio determinado. En otras palabras, la densidad es una magnitud que permite medir la cantidad de masa que hay en determinado volumen de una sustancia. Entonces, la expresión para el cálculo de la densidad es el cociente entre la masa de un cuerpo y el volumen que ocupa:

\(densidad= \frac{masa}{volumen}\)

Entonces la masa puede ser expresada como:

masa= densidad*volumen

En este caso:

Reemplazando:

masa= 1000 \(\frac{kg}{m^{3} }\) * 7,854*10⁻⁴ m³

masa=0.7854 kg

Si la masa del recipiente lleno es de 2 kg, entonces se le resta la masa de agua calculada:

2 kg - 0,7854 kg= 1,2146 kg

Entonces, la masa del recipiente vacío es 1,2146 kg.

To find the radius of convergence, we can use the ratio test. By applying the ratio test to the series ∑(7n(x-3)n), we can determine the value of r.

The ratio test states that if the limit of the absolute value of the ratio of consecutive terms of a series is L as n approaches infinity, then the series converges if L < 1 and diverges if L > 1. Applying the ratio test to the series ∑(7n(x-3)n), we have:

L = lim(n→∞) |(7(n+1)(x-3)^(n+1))/(7n(x-3)n)|

= lim(n→∞) |7(x-3)/(n+1)|

= |7(x-3)/∞|

= 0.

Since the limit L is 0, which is less than 1, the series converges for all values of x. Therefore, the radius of convergence r is infinity, indicating that the series converges for all values of x.

The interval of convergence i is determined by the range of x values for which the series converges. Since the series converges for all x values, the interval of convergence is (-∞, +∞), or in interval notation, (-∞, +∞).

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Answer:

x=-3.75

Step-by-step explanation:

17 = -13-8x

30=-8x

x=-3.75

Answer:

Step-by-step explanation:

17=-13-8x

Step 1: add 13 to both sides

30=-8x

Step 2: divide by -8

-3.75=x

If the selling price is $90 and the rate of sales tax is 3%, then the total price is $92.7

The selling price = $90

The rate of sales tax = 3%

The amount of sale tax = The selling price × The rate of sales tax

Substitute the values in the equation

The amount of sale tax = 90 × (3/100)

= 90 × 0.03

= $2.7

The total price = The selling price + The amount of sale tax

Substitute the values in the equation

The selling price  = 90 + 2.7

= $92.7

Hence, if the selling price is $90 and the rate of sales tax is 3%, then the total price is $92.7

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Answer:

The original price of the dvd is 20 dollars.

Step-by-step explanation:

I know this because 50% of something is the equivalent of saying it is half (or in this case, half off), so all you have to do is find the number that reverses the division, meaning instead of dividing by two, you'd use the opposite operation. you would multiply 10 by 2, which is the opposite of diving by 2, to then get 10 time 2 = 20.

So, your answer is $20

Hope this helps! :)

Answer:

z=-4.5 , MC=21

Step-by-step explanation:

AC=AM+MC

42=3-4x+3-4x ( since M is the mid point then AM=MC=3-4x)

42=6-8x

42-6=-8x

-8x=36

x=-36/8

x=-4.5

AM=MC=3-4x

MC=3-4(-4.5)= 3+18=21

MC=21

Answer:

1539/4 (improper fraction) or 384 3/4 (simplified fraction)

Step-by-step explanation:

To find the improper fraction, write 384.75 as a fraction:

384.75/1

Then, since you have 2 decimal places after the ., multiply the entire fraction by 100:

38475/100

Next, find the GCF, which is 25, and simplify this fraction to find the final improper fraction:

1539/4

To find the simplified fraction, we already have the whole number, 384, so we have to convert 0.75 to a fraction which is 3/4, because 0.75 is 3/4 of 100:

384 3/4

Hope this helps :)