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Dima020 [189]
3 years ago
14

Use the graph to answer the question. Between which consecutive years was the increase in the price of oil per barrel greatest?

A. 2004–2005 B. 2009–2010 C. 2010–2011 D. 2007–2008

Mathematics
2 answers:
NARA [144]3 years ago
8 0
D. 2007- 2008:) i think
maxonik [38]3 years ago
6 0
D would be your answer
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Seventy percent of all vehicles examined at a certain emissions inspection station pass the inspection. Assuming that successive
NeX [460]

Answer:

(a) 0.343

(b) 0.657

(c) 0.189

(d) 0.216

(e) 0.353

Step-by-step explanation:

Let P(a vehicle passing the test) = p

                        p = \frac{70}{100} = 0.7  

Let P(a vehicle not passing the test) = q

                         q = 1 - p

                         q = 1 - 0.7 = 0.3

(a) P(all of the next three vehicles inspected pass) = P(ppp)

                           = 0.7 × 0.7 × 0.7

                           = 0.343

(b) P(at least one of the next three inspected fails) = P(qpp or qqp or pqp or pqq or ppq or qpq or qqq)

      = (0.3 × 0.7 × 0.7) + (0.3 × 0.3 × 0.7) + (0.7 × 0.3 × 0.7) + (0.7 × 0.3 × 0.3) + (0.7 × 0.7 × 0.3) + (0.3 × 0.7 × 0.3) + (0.3 × 0.3 × 0.3)

      = 0.147 + 0.063 + 0.147 + 0.063 + 0.147 + 0.063 + 0.027

      = 0.657

(c) P(exactly one of the next three inspected passes) = P(pqq or qpq or qqp)

                 =  (0.7 × 0.3 × 0.3) + (0.3 × 0.7 × 0.3) + (0.3 × 0.3 × 0.7)

                 = 0.063 + 0.063 + 0.063

                 = 0.189

(d) P(at most one of the next three vehicles inspected passes) = P(pqq or qpq or qqp or qqq)

                 =  (0.7 × 0.3 × 0.3) + (0.3 × 0.7 × 0.3) + (0.3 × 0.3 × 0.7) + (0.3 × 0.3 × 0.3)

                 = 0.063 + 0.063 + 0.063 + 0.027

                 = 0.216

(e) Given that at least one of the next 3 vehicles passes inspection, what is the probability that all 3 pass (a conditional probability)?

P(at least one of the next three vehicles inspected passes) = P(ppp or ppq or pqp or qpp or pqq or qpq or qqp)

=  (0.7 × 0.7 × 0.7) + (0.7 × 0.7 × 0.3) + (0.7 × 0.3 × 0.7) + (0.3 × 0.7 × 0.7) + (0.7 × 0.3 × 0.3) + (0.3 × 0.7 × 0.3) + (0.3 × 0.3 × 0.7)

= 0.343 + 0.147 + 0.147 + 0.147 + 0.063 + 0.063 + 0.063

                  = 0.973  

With the condition that at least one of the next 3 vehicles passes inspection, the probability that all 3 pass is,

                         = \frac{P(all\ of\ the\ next\ three\ vehicles\ inspected\ pass)}{P(at\ least\ one\ of\ the\ next\ three\ vehicles\ inspected\ passes)}

                         = \frac{0.343}{0.973}

                         = 0.353

3 0
3 years ago
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Gerald bought 3 shirts for 8.40 each, 2 shirts for 12.89 each, and one shirt for 18.90. What was the average cost of the shirts?
Vanyuwa [196]
So first, you add all the numbers together

8.40*3=25.20
12.89*2=25.78
18.90*1=18.90
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$69.88

Divide the number of shirts: 6 by the total amount


69.88
_____ = $11.64666= $11.65 is your answer!
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8 0
3 years ago
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3(x + 3) + 10
Sphinxa [80]

Answer:

b-3x+19

Step-by-step explanation:

you have to open the bracket so 3*x=3x

3*3=9

therefore;3x+9+10=3x+19

7 0
3 years ago
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Will give brainliest!!!!Quadrilateral QRST is dilated and translated to form similar figure Q'R'S'T'. What is the scale factor f
OleMash [197]
The Answer is D. 1/3
7 0
3 years ago
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5 7/12 - 1 3/4 = ? PLZ help me
Dafna1 [17]

Answer is 23/6 or 3 5/6

7 0
3 years ago
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