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Alex_Xolod [135]
3 years ago
14

Find the value of x.​

Mathematics
2 answers:
snow_lady [41]3 years ago
6 0

Answer:

x = 6

Step-by-step explanation:

The segment from O to the chord is a perpendicular bisector.

The triangle formed is right with legs x and 8 and hypotenuse 10

Using Pythagoras' identity in the right triangle, then

x² + 8² = 10²

x² + 64 = 100 ( subtract 64 from both sides )

x² = 36 ( take the square root of both sides )

x = \sqrt{36} = 6

Basile [38]3 years ago
4 0

Answer:

Step-by-step explanation:

diameter = 20

radius  = 10 units

Length of Chord = 16 units

The perpendicular from the center to a chord, bisect the chord.

So, base = 16/2 = 8units

Use Pythagorean theorem.

x² + 8² = 10²

x² + 64 = 100

x² = 100 -64

x² = 36

x = √36 = √6*6

x = 6 units

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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
Find the distance between (1,0) and (9, 15).<br> Distance =
Mnenie [13.5K]

Answer:

d = 17

Step-by-step explanation:

d = √ (9 − 1) 2 + (15− 0)^2

d = √ (8) ^2 + (15) ^2

d = √ 64 + 225

d = √289

d = 17

6 0
3 years ago
Please help...............................!
arlik [135]
Class F=36.6666666667%
class E=33.3333333333%
class H=41.6666666667%
class G=<span>32%</span>
4 0
2 years ago
Match each Situation to one of the equations
Elis [28]

Answer:

A: y = -2x

B: rate(meters/time)= 12 meters(distance) ÷ 2 minutes(time)

Step-by-step explanation:

5 0
2 years ago
Multiplies to -1120 adds to 3
TEA [102]
With these, always write out the multiples first.

Start like this:
(assume one of the factors is negative)
1 and 1120
2 and 560
4 and 280
5 and 224
7 and 160
8 and 140
10 and 112
14 and 80
16 and 70
20 and 56
28 and 40
32 and 35

from those, the obvious choice is the one with a difference of three. In this case, 32 and 35, because -32 + 35 equals 3.
6 0
3 years ago
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