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worty [1.4K]
3 years ago
8

An airline claims that 90% of the time, its planes are on schedule. If three flights are selected at random, what is the probabi

lity that the first two are on schedule and the third one is not on schedule?

Mathematics
1 answer:
serg [7]3 years ago
8 0
1. Check the tree diagram in the picture attached.

2. The blue segment represents "on time"
    The red segment represents "not on time"


3. blue - blue - red represents the case 1st on time, 2nd on time, 3rd not on time.

the combined probability is 90/100*90/100*10/100=9/10*9/10*1/10=99/1000=0.099

4. Remark with a tree diagram we can tell anything asked about the probability of an experiment.

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71.4 % chance I think is your answer. 
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What is the product of and (6+5i) and (3-7i) ?<br><br> -17-27i<br> -17+27i<br> 53+27i<br> 53-27i
USPshnik [31]
We are going to make the product step by step.
 We have:
 (6 + 5i) * (3-7i)
 Multiplying:
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 Rewriting:
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the product of and (6 + 5i) and (3-7i) is:
 
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5 0
3 years ago
Solve this equation for x: 2x^2 + 12x - 7 = 0
zhannawk [14.2K]

Answer:

x=0.5355 or x=-6.5355

First step is to: Isolate the constant term by adding 7 to both sides

Step-by-step explanation:

We want to solve this equation: 2x^2 + 12x - 7 = 0

On observation, the trinomial is not factorizable so we use the Completing the square method.

Step 1: Isolate the constant term by adding 7 to both sides

2x^2 + 12x - 7+7 = 0+7\\2x^2 + 12x=7

Step 2: Divide the equation all through by the coefficient of x^2 which is 2.

x^2 + 6x=\frac{7}{2}

Step 3: Divide the coefficient of x by 2, square it and add it to both sides.

Coefficient of x=6

Divided by 2=3

Square of 3=3^2

Therefore, we have:

x^2 + 6x+3^2=\frac{7}{2}+3^2

Step 4: Write the Left Hand side in the form (x+k)^2

(x+3)^2=\frac{7}{2}+3^2\\(x+3)^2=12.5\\

Step 5: Take the square root of both sides and solve for x

x+3=\pm\sqrt{12.5}\\x=-3\pm \sqrt{12.5}\\x=-3+ \sqrt{12.5}, $ or $x= -3- \sqrt{12.5}\\$x=0.5355 or x=-6.5355

6 0
3 years ago
Given a line segment that contains the points A,B, &amp; C in order, if AB = x, BC = x, and AC is equal to 36, then x = _____.
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Answer:

a. 18

Step-by-step explanation:

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