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Alekssandra [29.7K]
2 years ago
15

Lee is staying at a hotel. The cost of the first night is $240. The cost for each night after that is $210. Let y represent the

total cost of staying at the hotel for x nights. Which type of sequence does the situation represent
Mathematics
1 answer:
GenaCL600 [577]2 years ago
3 0

A) The situation represents an arithmetic sequence because the successive y-values have a common difference of 210.

F(1) = 240 +210

F(2) = 240 +2(210)

F(3) = 240+3(210)

.

.

.

.

F(x)= 240 +210x.

Learn more about Sequence:

brainly.com/question/12246947

#SPJ4

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A basketball player makes 70% of his free throws the random numbers below represent 20 trials for a simulation let the numbers 0
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40%

Step-by-step explanation:

Given the result of the simulation below:

(5,5) (0,6) (9,6) (7,4) (9,1) (7,3) (0,4) (9,3) (2,9) (1,4)

(6,8) (5,3) (1,7) (1,7) (1,8) (3,5) (7,2) (2,1) (0,6) (1,8)

n(S)=20

  • The numbers 0 to 6 represent a made free throw .
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  • Therefore, any result containing 7 to 9 does not satisfy our requirement that the player makes both throws.

Let Event A be the event that the player made both throws

The pairs in which the player made both throws are:

(5,5) (0,6) (0,4) (1,4) (5,3)  (3,5)  (2,1) (0,6)

n(A)=8

Therefore:

P(A)=\frac{n(A)}{n(S)}=\frac{8}{20}=0.4\\

The probability that the player made both throws is 40%.

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For (a): Since AC is parallel to A'C' and A'D is a transversal for these two parallel lines, so, ∠CDB' = ∠B'A'C', because these are alternate interior angles.

For (b): Since BC is parallel to B'C' and A'B' is a transversal, so ∠BEB' = ∠A'B'C', because these are alternate interior angles.

For (c): Since AB is parallel to A'B' and AD is a transversal, so ∠BAC = ∠CDB', because these are alternate interior angles.

For (d): Since AB is parallel to A'B' and BE is a transversal, so ∠ABC = ∠BEB', because these are alternate interior angles.

Thus, all the questions marks are the reasons that the given angles are equal because they are alternate interior angles.

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