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Sliva [168]
2 years ago
11

Asir borrowed money from his parents to purchase a video gaming system for $473.89(including tax). About how much are his monthl

y payments to his parents if he wants to pay this off in one year?
Estimating decimal quotients
Mathematics
1 answer:
stepladder [879]2 years ago
6 0

Answer:

Step-by-step explanation:

473.89/12= $39.49083 or $39.50 a month

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A quiz-show contestant is presented with two questions, question 1 and question 2, and she can choose which question to answer f
Mrrafil [7]

Answer:

The contestant should try and answer question 2 first to maximize the expected reward.

Step-by-step explanation:

Let the probability of getting question 1 right = P(A) = 0.60

Probability of not getting question 1 = P(A') = 1 - P(A) = 1 - 0.60 = 0.40

Let the probability of getting question 2 right be = P(B) = 0.80

Probability of not getting question 2 = P(B') = 1 - P(B) = 1 - 0.80 = 0.20

To obtain the better option using the expected value method.

E(X) = Σ xᵢpᵢ

where pᵢ = each probability.

xᵢ = cash reward for each probability.

There are two ways to go about this.

Approach 1

If the contestant attempts question 1 first.

The possible probabilities include

1) The contestant misses the question 1 and cannot answer question 2 = P(A') = 0.40; cash reward associated = $0

2) The contestant gets the question 1 and misses question 2 = P(A n B') = P(A) × P(B') = 0.6 × 0.2 = 0.12; cash reward associated with this probability = $200

3) The contestant gets the question 1 and gets the question 2 too = P(A n B) = P(A) × P(B) = 0.6 × 0.8 = 0.48; cash reward associated with this probability = $300

Expected reward for this approach

E(X) = (0.4×0) + (0.12×200) + (0.48×300) = $168

Approach 2

If the contestant attempts question 2 first.

The possible probabilities include

1) The contestant misses the question 2 and cannot answer question 1 = P(B') = 0.20; cash reward associated = $0

2) The contestant gets the question 2 and misses question 1 = P(A' n B) = P(A') × P(B) = 0.4 × 0.8 = 0.32; cash reward associated with this probability = $100

3) The contestant gets the question 2 and gets the question 1 too = P(A n B) = P(A) × P(B) = 0.6 × 0.8 = 0.48; cash reward associated with this probability = $300

Expected reward for this approach

E(X) = (0.2×0) + (0.32×100) + (0.48×300) = $176

Approach 2 is the better approach to follow as it has a higher expected reward.

The contestant should try and answer question 2 first to maximize the expected reward.

Hope this helps!!!

3 0
2 years ago
State whether the graph would be a circle, ellipse, parabola, or hyperbola.
Lubov Fominskaja [6]

Answer:

ellipse

Step-by-step explanation:

bc you should already know

7 0
3 years ago
Sales tax 7% how much will I be charged on a $85
CaHeK987 [17]
Tax= 85 times 7% = 85 times 0.07

tax =85 times 0.07 = 5.95
  
tax = 85 = 5.95 2= 90.95
  
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3) they will have the same solution because the first equation of system B is obtained by adding the first equation of system a
Andrej [43]

The two systems have the same solution.

The correct answer is 3) since the first equation of system B is indeed the addition of the first equation of system A and 4 times the second equation of system A.

Answer: 3)

8 0
3 years ago
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