|4b-4|+|3-b^3|+2b^3;b=2
1 answer:
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Answer:
The length of the flight of stairs is 52 m
Step-by-step explanation:
<em>In parallelograms, opposite sides are equal in length</em>
In the given figure
∵ The building is built in the shape of a parallelogram
∵ The length of the flight of stairs is one side of it
→ We can find it by finding the hypotenuse of the right triangle
whose legs are 47 m and 22 m
∴ The length of it = the length of the hypotenuse of the right Δ
→ By using the Pythagoras Theorem
∵ h =
∵ leg1 = 47 and leg2 = 22
∴ h =
∴ h =
∴ h =
∴ h = 51.89412298
∵ h represents the length of the flight of stairs
∴ The length of the flight of stairs = 51.89412298 m
→ Round it to the nearest meter
∴ The length of the flight of stairs = 52 m
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 <em>X</em> 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, <em>p</em> = 0.20.
The random variable <em>X</em> follows a Geometric distribution since it is defined as the number of trials before the first success.
The probability mass function of <em>X</em> is:
(a)
The expected value of a Geometric distribution is:
Compute the expected number of guests until the next one pays by American Express credit card as follows:
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:
Thus, the probability that the first guest to use an American Express is within the first 10 to checkout is 0.0215.