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3 years ago

What is area model?

Mathematics

1 answer:

vlada-n [284]3 years ago

3 0

Answer:

In mathematics, an area model is a rectangular diagram or model used for multiplication and division problems, in which the factors or the quotient and divisor define the length and width of the rectangle. ... Then we add to get the area of the whole, which is the product or quotient.

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Suppose that an airline quotes a flight time of 128 minutes between two cities. Furthermore, suppose that historical flight reco

ANTONII [103]

Answer:

(a) The probability density function of X is:

$f_{X}(x)=\frac{1}{b-a};\ a$

(b) The value of P (129 ≤ X ≤ 146) is 0.3462.

(c) The probability that a randomly selected flight between the two cities will be at least 3 minutes late is 0.4327.

Step-by-step explanation:

The random variable X is defined as the flight time between the two cities.

Since the random variable X denotes time interval, the random variable X is continuous.

(a)

The random variable X is Uniformly distributed with parameters a = 10 minutes and b = 154 minutes.

The probability density function of X is:

$f_{X}(x)=\frac{1}{b-a};\ a$

(b)

Compute the value of P (129 ≤ X ≤ 146) as follows:

Apply continuity correction:

P (129 ≤ X ≤ 146) = P (129 - 0.50 < X < 146 + 0.50)

= P (128.50 < X < 146.50)

$=\int\limits^{146.50}_{128.50} {\frac{1}{154-102}} \, dx$

$=\frac{1}{52}\times \int\limits^{146.50}_{128.50} {1} \, dx$

$=\frac{1}{52}\times (146.50-128.50)$

$=0.3462$

Thus, the value of P (129 ≤ X ≤ 146) is 0.3462.

(c)

It is provided that a randomly selected flight between the two cities will be at least 3 minutes late, i.e. X ≥ 128 + 3 = 131.

Compute the value of P (X ≥ 131) as follows:

Apply continuity correction:

P (X ≥ 131) = P (X > 131 + 0.50)

= P (X > 131.50)

$=\int\limits^{154}_{131.50} {\frac{1}{154-102}} \, dx$

$=\frac{1}{52}\times \int\limits^{154}_{131.50} {1} \, dx$

$=\frac{1}{52}\times (154-131.50)$

$=0.4327$

Thus, the probability that a randomly selected flight between the two cities will be at least 3 minutes late is 0.4327.

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3 years ago

Which polynomial is a monomial? A.5r^2s^3t^4 B.2p^2-p C.1-2x+5x4 D.6-2x^3-4x^2+x^5

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For this case we have that by definition, a monomial is an algebraic expression that consists of a single term or in which the terms that form it are related by the product operation.

Example:

$-4x * y ^ 2 * z ^ 3$

Thus, the correct option is option A.

$5r ^ 2 * s ^ 3 * t ^ 4$

Answer:

Option A

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3 years ago

A salesperson earns $300 per week, plus a 25% commission on each sale made. How much would the salesperson earn if he sold $650

Montano1993 [528]

Answer:

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Subtract 300 from both sides

$500= .05(x)

Divide by .05

x=$10000

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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What is area model?​

What is area model?