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Evgen [1.6K]
3 years ago
5

Numbered disks are placed in a box and one disk is selected at random. If there are 6 red disks numbered 1 through 6, and 2 yell

ow disks numbered 7 through 8, find the probability of selecting a red disk, given that an odd-numbered disk is selected.
Mathematics
1 answer:
Tatiana [17]3 years ago
6 0

Answer:

\frac{3}{4}

Step-by-step explanation:

Total number of red disk=6

Total number  of yellow disk=2

Total disk=6+2=8

Odd number=1,3,5,7=4

Odd number on red disk=1,3,5=3

Probability,P(E)=\frac{favorable\;cases}{total\;number\;of\;cases}

Using the formula

The probability of getting odd number disk=\frac{4}{8}=\frac{1}{2}

The probability of getting odd numbered  red disk=\frac{3}{8}

The probability of selecting a red disk,given that an odd numbered disk is selected=\frac{\frac{3}{8}}{\frac{1}{2}}=\frac{3}{8}\times 2=\frac{3}{4}

Using conditional probability

P(A/B)=\frac{P(A\cap B)}{P(B)}

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Convert the angle 0=228 degrees to radians
miv72 [106K]

Answer:

  \dfrac{19}{15}\,\text{radians}=1.2\overline{6}\,\text{radians}

Step-by-step explanation:

θ = 228° = (228°)×(π/180° radians/degree) = 228/180 radians

  = 19/15 radians

  ≈ 1.266...(repeating) radians

8 0
3 years ago
Simplify:<br><br> {(-8)^-4 ÷ 2^-8}^2
Aleksandr-060686 [28]

Answer:

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Hope This Helps!!!

8 0
2 years ago
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Pleaaseee help, i need the answer asap! (WILL GIVE BRAINLIEST!!)
Setler79 [48]

Answer:

A.

Step-by-step explanation:

Substituting the ordered pairs into the equation. 3x - y/4 = 11

For (3,-8)

3 * 3 - (-8)/4

9- (-2) = 11

For (4, 4)

3 * 4 - 4/4

12 - 1 = 11

Both ordered pairs equals to 11, therefore, they're both solutions to the equation.

8 0
3 years ago
Ex 7) Imagine a mile-long bar of metal such as the rail along railroad tracks. Suppose that the rail is anchored on both ends an
Fantom [35]

9514 1404 393

Answer:

  about 44.5 feet

Step-by-step explanation:

We can write relations for the height of the rail as a function of initial length and expanded length, but the solution cannot be found algebraically. A graphical solution or iterative solution is possible.

Referring to the figure in the second attachment, we can write a relation between the angle value α and the height of the circular arc as ...

  h = c·tan(α) . . . . . . where c = half the initial rail length

Then the length of the expanded rail is ...

  s = r(2α) = (c/sin(2α)(2α) . . . . . . where s = half the expanded rail length

Rearranging this last equation, we have ...

  sin(2α)/(2α) = c/s

It is this equation that must be solved iteratively. We find the solution to be ...

  α ≈ 0.0168538794049 radians

So, the height of the circular arc is ...

  h = 2640.5·tan(0.0168538794049) ≈ 44.4984550191 . . . feet

The rail will bow upward by about 44.5 feet.

_____

<em>Additional comments</em>

Note that s and c in the diagram are half the lengths of the arc and the chord, respectively. The ratio of half-lengths is the same as the ratio of full lengths: c/s = 2640/2640.5 = 5280/5281.

We don't know the precise shape the arc will take, but we suspect is is not a circular arc. It seems likely to be a catenary, or something similar.

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We used Newton's method iteration to refine the estimate of the angle from that shown on the graph. The iterator used is x' = x -f(x)/f'(x), where x' is the next guess based on the previous guess of x. Only a few iterations are required obtain an angle value to full calculator precision.

3 0
3 years ago
Solve the following equations for 0 ≤ theta ≤ 360º cosec(2 — 45°) = 2​
lions [1.4K]

Step-by-step explanation:

here ,

cosec \alpha  =  \frac{1}{ \sin( \alpha ) }

now,

cosec(2-45°)=2

or,

1/sin(2-45°) =2

or,

1/sin2cos45°-cos2sin45=2

or,

\frac{1}{ \sin(2)   \frac{1}{2}   -  \cos(2) \frac{1}{2}  }  = 2

or,

sorry I have that much qualifications to work on this question and hoping this much will make bit easy for you to solve it further

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