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Inessa [10]
3 years ago
9

What does x equal? This question is found on Khan academy.

Mathematics
1 answer:
Sauron [17]3 years ago
7 0

Answer:

Hi there!

The correct answer is 95°

Step-by-step explanation:

Okay if you look at the picture, 95 degrees' supplementary angle is 85 degrees. A supplementary angle means it adds up to 180°. So that means the angle that is supplementary to 85 is 95. **Keep in mind since they did not tell that the sides are parallel you cannot assume that 95° and angle x° are vertical so this is the safest way to solve the problem**

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Write two numbers that multiply to −33 and add to 8
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-3 and 11

Step-by-step explanation:

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What is a common multiple for 8,12,10
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2 is a common multiple for 8,12,10

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This conversion of 2 weeks to seconds has been calculated by multiplying 2 weeks by 604,800 and the result is 1,209,600 seconds.

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A small regional carrier accepted 23 reservations for a particular flight with 20 seats. 14 reservations went to regular custome
MrRissso [65]

Answer:

- The probability that overbooking occurs means that all 8 non-regular customers arrived for the flight. Each of them has a 56% probability of arriving and they arrive independently so we get that  

P(8 arrive) = (0.56)^8 = 0.00967

- Let's do part c before part b. For this, we want an exact booking, which means that exactly 7 of the 8 non-regular customers arrive for the flight. Suppose we align these 8 people in a row. Take the scenario that the 1st person didn't arrive and the remaining 7 did. That odds of that happening would be (1-.56)*(.56)^7.

Now take the scenario that the second person didn't arrive and the remaining 7 did. The odds would be  

(0.56)(1-0.56)(0.56)^6 = (1-.56)*(.56)^7. You can run through every scenario that way and see that each time the odds are the same. There are a total of 8 different scenarios since we can choose 1 person (the non-arriver) from 8 people in eight different ways (combination).  

So the overall probability of an exact booking would be [(1-.56)*(.56)^7] * 8 = 0.06079

- The probability that the flight has one or more empty seats is the same as the probability that the flight is NOT exactly booked NOR is it overbooked. Formally,  

P(at least 1 empty seat) = 1 - P(-1 or 0 empty seats)  

= 1 - P(overbooked) - P(exactly booked)

= 1 - 0.00967 - 0.06079  

= 0.9295.

Note that, the chance of being both overbooked and exactly booked is zero, so we don't have to worry about that.

Hope that helps!

Have a great day :P

7 0
3 years ago
Which ordered pair is a solution the the following system?
muminat

Answer:

d is the correct answer .

Step-by-step explanation:

I just guessed

4 0
3 years ago
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