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professor190 [17]
3 years ago
9

Which of the following triangles is a scalene triangle?

Mathematics
2 answers:
hram777 [196]3 years ago
5 0
D. Because the numbers are all different.
mixer [17]3 years ago
4 0

the answer is D 6 8 10 is a scalene triangle

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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
Read 2 more answers
Here are the monthly charges for Jo's mobile phone
yaroslaw [1]

Answer:

The correct answer is - 625.36.

Step-by-step explanation:

Given:

Fixed mothly plan - 616

free minutes - 150

Used minutes - 170

Free text - 150

Used text - 182

Charging amount over free limit - 18p

Solution:

Number of minutes over the limit -  170 - 150 = 20

Number of text over the limit - 182 - 150 = 32

So the extra amount that will be add to the monthly charge would be -

(20*0.18) +(32*0.18)

and the total charge of the month would be -

= 616+(20*0.18) +(32*0.18)

= 616+3.60+5.76

= 625.36

Thus, the correct answer would be - 625.36

5 0
3 years ago
PLEASE SHOW WORK AND HELP EXPLAIN: 12.42 divided by 4.6
Anni [7]

Answer:

12.42 = 1242 / 100;

4.6 = 46 / 10;

12.42 ÷ 4.6 = (1242 / 100) ÷ (46 / 10 ) = (1242 / 100) x (10 / 46 ) = ( 1242 / 46  ) x ( 100 / 10 ) =  27 x 10 = 270;

Step-by-step explanation:


7 0
3 years ago
A sphere with center A is shown. Which represents a radius?
Lunna [17]
A because radius is half of the diameter
5 0
2 years ago
Read 2 more answers
Explain what the absolute value tells about -18 degrees Celsius.
baherus [9]
It says -18 is 18 digits away from 0

8 0
3 years ago
Read 2 more answers
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