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padilas
3 months ago
10

El producto de dos números consecutivos es 552 cuáles son esos números?

Mathematics
1 answer:
Svet_ta [12.7K]3 months ago
7 0

Answer: 23 y 24 ( ó -23 y -24)

Step-by-step explanation:

Two consecutive numbers can be represented as:

n y (n + 1)

where n is an integer.

Hence, "The product of two consecutive numbers is 552" can be expressed as:

n*(n + 1) = 552

n^2 + n = 552

n^2 + n - 552 = 0

We have a quadratic equation, and the possible solutions are obtained using the Bhaskara formula.

n = \frac{-1 +- \sqrt{1^2 - 4*1*(-552)} }{2} = \frac{-1 +- 47}{2}

The two solutions are:

n = (-1 - 47)/2 = -48/2 = -24

n = (-1 + 47)/2 = 46/2 = 23

If we take the first solution, n = -24

Then the two consecutive numbers would be:

n = -24

(n + 1) = -23

If n = 23, then

n + 1 = 24

Which makes sense, as the only change is the signs, which would negate each other in multiplication.

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The "successful" area is half the size of the overall triangle, thus using the concept of similar triangles, the likelihood that the area of triangle XYD does not exceed 12 is 1/4.

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2 months ago
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Which is the solution of the quadratic equation (4y – 3)2 = 72? y = StartFraction 3 + 6 StartRoot 2 EndRoot Over 4 EndFraction a
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Answer:

y = \frac{3 + 6\sqrt{2} }{4} y y = \frac{3 - 6\sqrt{2} }{4}

y = StartFraction 3 + 6 StartRoot 2 EndRoot Over 4 EndFraction y = StartFraction 3 menos 6 StartRoot 2 EndRoot Over 4 EndFraction

Explicación paso a paso:

La ecuación cuadrática que tenemos es (4y - 3)² = 72

Debemos encontrar el valor de y.

Ahora, 4y - 3 = ± 6√2

⇒ 4y = 3 ± 6√2

⇒ y = \frac{3 + 6\sqrt{2} }{4} y y = \frac{3 - 6\sqrt{2} }{4}

Por lo tanto, las soluciones son y = StartFraction 3 + 6 StartRoot 2 EndRoot Over 4 EndFraction y y = StartFraction 3 menos 6 StartRoot 2 EndRoot Over 4 EndFraction (Respuesta)

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At a small coffee shop, the distribution of the number of seconds it takes for a cashier to process an order is approximately no
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Answer:

The correct answer is;

A. 0.17

Step-by-step explanation:

Here are the provided details;

The average time taken for a cashier to handle an order, μ = 276 seconds

The deviation from the average, σ = 38 seconds

The z-score for an order processing time of x = 240 seconds can be calculated as follows;

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Thus;

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The resulting probability

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Hence, the estimated proportion of orders processed in under 240 seconds is roughly 0.17361 or 0.17 when rounded to two decimal places.

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