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18 days ago

Draw a model to represent the problem 12 divided by 6

Mathematics

2 answers:

PIT_PIT [9.1K]18 days ago

7 0

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Zina [9.1K]18 days ago

5 0

The issue can be represented in various models.
For instance, we can illustrate 12 counters (represented as circles) distributed into six boxes (represented as squares).
Each box contains two circles.

Refer to the diagram below for the model.

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Si se opta por la primera modalidad cuanto de dinero se abra pagado al sexto mes<br>

babunello [8429]

Respuesta: Los contratos de opciones pueden ser valuados empleando modelos matemáticos tales como el modelo de precios Black-Scholes o el modelo Binomial. El costo de una opción se divide principalmente en dos componentes: su valor intrínseco y su valor temporal.... El valor temporal depende de la volatilidad anticipada del activo subyacente y del tiempo restante hasta que la opción expire.

Explicación paso a paso: ¡espero que esto ayude!

Por cierto, ¡también hablo inglés!

3 0

1 day ago

A builder buys bricks at the rate of $4.50 per brick for the first 10, $3.50 per brick for the next 10, and $2.50 for any additi

babunello [8429]

Purchasing the first 10 bricks at $4.50 each totals $45. The subsequent 10 bricks at $3.50 each add $35. This uses $80, leaving $20 to buy bricks priced at $2.50 each, allowing for 8 more bricks. Altogether, $100 can buy 28 bricks.

8 0

1 month ago

At an ocean-side nuclear power plant, seawater is used as part of the cooling system. This raises the temperature of the water t

Zina [9184]

Answer:

(a1) The chance that the temperature rises by less than 20°C is 0.667.

(a2) The probability of the temperature increase falling between 20°C and 22°C is 0.133.

(b) The likelihood that the temperature increase could be hazardous at any moment is 0.467.

Step-by-step explanation:

Let X denote the temperature increase.

The random variable X is distributed uniformly over the interval [10°C, 25°C].

The probability density function for X is shown here:

$f(X)=\left \{ {{\frac{1}{25-10}=\frac{1}{15};\ x\in [10, 25]} \atop {0;\ otherwise}} \right.$

(a1)

The probability of the temperature increase being under 20°C can be calculated as follows:

$P(X$

Consequently, the chance that the temperature increase will be below 20°C is 0.667.

(a2)

The probability of the temperature rise being in the range from 20°C to 22°C is computed as follows:

$P(20$

This leads to the probability of the temperature increase being between 20°C and 22°C being 0.133.

(b)

To find the probability that the increase in temperature could be dangerous, we calculate:

$P(X>18)=\int\limits^{25}_{18}{\frac{1}{15}}\, dx\\=\frac{1}{15}\int\limits^{25}_{18}{dx}\,\\=\frac{1}{15}[x]^{25}_{18}=\frac{1}{15}[25-18]=\frac{7}{15}\\=0.467$

This results in a probability of 0.467 that the temperature rise is potentially dangerous at any time.

(c)

The expected value of the uniform random variable X is determined as follows:

$E(X)=\frac{1}{2}[10+25]=\frac{35}{2}=17.5$

The expected value for the temperature increase computes to 17.5°C.

7 0

23 days ago

The vertices of a triangle lie on the circumference of a circle. If its sides are 2.5 cm, 6 cm, and 6.5 cm, what is the area of

Zina [9184]

Response:

The area of the circle is roughly 33.183 cm²

Step-by-step explanation:

The lengths of the inscribed triangle are 2.5 cm, 6 cm, and 6.5 cm

Using the cosine law, we find;

6.5² = 6² + 2.5² - 2 × 6 × 2.5 × cos A

2 × 6 × 2.5 × cos A = 6² + 2.5² - 6.5² = 0

∴ cos(A) = 0

A = cos⁻¹(0) = 90°

The angle at the center is double the angle at the circumference

Thus, angle at the center = 2 × 90° = 180°

The 6.5 cm side forms a straight angle of 180° at the center of the circle; hence, this side equals the diameter of the circle

The circle's radius = 1/2 × The diameter = 1/2 × 6.5 cm = 3.25 cm

The area of the circle is determined by the formula π × r² = π × 3.25² ≈ 33.183 cm².

3 0

2 days ago

The shape is composed of three squares and two semicircles.Select all the expressions that correctly calculate the perimeter of

Leona [9281]

Answer:

100+20π

Step-by-step explanation:

Refer to the attached diagram.

Perimeter of a square = 4L

where L represents the length of a square's side

According to the diagram;

L = 10

Thus, Perimeter of one square = 4(10) = 40

Consequently, the perimeter of three squares combined = 3(40) = 120

Two semicircles create one full circle

The perimeter of a circle is given by the formula 2πr

Here, the radius of the circle equals the length of a side of the square.

Area of the circle = 2π(10)= 20π

The complete perimeter of the shape is therefore the perimeter from the two semicircles combined with that of the four squares = 100+20π

3 0

2 days ago