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Sever21 [200]
3 years ago
12

Suppose that Bob can decide to go to work by one of the three modes of transportation; car, bus, or train. Because of high traff

ic, if he decides to go by car, there is a 50% chance he will be late. If he goes by bus there is a 20% chance he will be late. If he goes by train there is only 1% chance that he will be late. Suppose he takes the car 10% of the time, the bus 1% of the time, and the train 89% of the time, What is the probability that Bob will be late getting to work?
Mathematics
1 answer:
9966 [12]3 years ago
7 0

The probability is (0.10 * 0.50 + 0.01 * 0.20 + 0.89 * 0.01) * 100% = 6.09%.

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Answer:

60 calories per serving

Step-by-step explanation:

Divide to find the unit rate of calories per serving.

120 / 2 = 60

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Points A,B, and C form a triangle. Complete the statements to prove that the sum of the interior angles of ABC is 180 degrees
oee [108]

Answer:

Step-by-step explanation:

            Statements                                                       Reasons

1). Points A, B and C form the triangle           1). Given

2). Let DE be a line passing through             2). Definition of parallel lines

    B and parallel to AC

3). ∠3 ≅ ∠5 and ∠1 ≅ ∠4                                3). Theorem of Alternate

                                                                               interior angles  

4). m∠1 = m∠4 and m∠3 = m∠5                      4). Definition of alternate angles

5). m∠4 + m∠2+ m∠5 = 180°                           5). Angle addition and definition

                                                                             of straight lines

6). m∠1 + m∠2+ m∠3 = 180°                            6). Substitution

3 0
3 years ago
Find the equation of a line that passes through the points (6,7) and (8,3).
horsena [70]

Answer:

y=-2x+19

Step-by-step explanation:

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:  m= \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }.

Now we have,

m= 3-7/8-6

m=-2. Since m=-2, the equation is y=-2x+b.

To find b, think about what your (x,y) points mean:

(6,7). When x of the line is 6, y of the line must be 7.

(8,3). When x of the line is 8, y of the line must be 3.

Substitute them to the equation  y=-2x+b.

You can use either (x,y) point you want..the answer will be the same:

(6,7). y=mx+b or 7=-2 × 6+b, or solving for b: b=7-(-2)(6). b=19.

(8,3). y=mx+b or 3=-2 × 8+b, or solving for b: b=3-(-2)(8). b=19.

So, the equation of the line that passes through the points

(6,7) and (8,3)  is  y=-2x+19.

3 0
3 years ago
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