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3 years ago

Y=2x+8 and y= -2/3x. Identify the value of x that simultaneously satisfies both equations.

1 answer:

5 0

Let's solve this by subst. (-2/3)x for y in y=2x+8.

Then 2x+8 = (-2/3)x. (For clarity you must use those parentheses.)

The LCD is 3. Mult. both sides by 3, obtaining

6x+24 = -2x. Then 8x = -24, and x = -3. Now that you have a value for x, subst. this value (-3) into either of the given equations to determine y.

Then write your solution in the form (-3, ?? ).

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150 Square feet

Step-by-step explanation:

15 feet long

10 feet wide

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15 x 10 = 150

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3 years ago

In the Ardmore Hotel, 20 percent of the guests (the historical percentage) pay by American Express credit card. (a) What is the

xxMikexx [17]

Answer:

(a) The expected number of guests until the next one pays by American Express credit card is 4.

(b) The probability that the first guest to use an American Express is within the first 10 to checkout is 0.0215.

Step-by-step explanation:

The random variable X can be defined as the number of guests until the next one pays by American Express credit card

The probability that a guest paying by American Express credit card is, p = 0.20.

The random variable X follows a Geometric distribution since it is defined as the number of trials before the first success.

The probability mass function of X is:

$P(X=x)=(1-p)^{x}p;\ x=0,1,2,3...,\ 0$

(a)

The expected value of a Geometric distribution is:

$E(X)=\frac{1-p}{p}$

Compute the expected number of guests until the next one pays by American Express credit card as follows:

$E(X)=\frac{1-p}{p}$

$=\frac{1-0.20}{0.20}$

$=4$

Thus, the expected number of guests until the next one pays by American Express credit card is 4.

(b)

Compute the probability that the first guest to use an American Express is within the first 10 to checkout as follows:

$P(X=10)=(1-0.20)^{10}\times0.20$

$=0.1073741824\times 0.20\\=0.02147483648\\\approx0.0215$

Thus, the probability that the first guest to use an American Express is within the first 10 to checkout is 0.0215.

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3 years ago