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seraphim [82]
1 year ago
15

Compute the probability of event E if the odds in favor of E are 28 to 29.

Mathematics
2 answers:
NeX [460]1 year ago
4 0

Answer:

28/57

Step-by-step explanation:

odds in favor of event occurring = (probability event occurs)/(probability event does not occur)

Let p = probability event occurs.

Then the probability the event does not occur is 1 - p.

Let the odds = a/b.

a/b = p/(1 - p)

a(1 - p) = bp

a - ap = bp

bp + ap = a

p(a + b) = a

p = a/(a + b)

p = 28/(28 + 29)

p = 28/57

omeli [17]1 year ago
3 0
<h3>Answer:  28/57</h3>

Explanation:

The odds in favor of 28 to 29 means there are 28 ways the event E could occur and 29 ways it doesn't occur.

So there are 28 instances out of 28+29 = 57 ways total.

It leads to the fraction 28/57 which cannot be reduced further.

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If the smallest angle of rotation for a regular polygon is 18°, how many sides does polygon have?
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2 years ago
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The diameter of a sphere is 2,160 mm. The diameter of a second sphere is 7,520 mm. Approximately how many times larger is the vo
fgiga [73]

Answer:

Approximately 42 times larger

Step-by-step explanation:

The diameter of a sphere is 2,160 mm.

The diameter of a second sphere is 7,520 mm.

To see how many times larger is the diameter of second sphere is than the diameter of the second sphere, we divide to get:

k =  \frac{7520}{2160}

k = 3.481

To see how many times larger the volume is, we cube both sides

{k}^{3}  =  {3.481}^{3}

This implies that

{k}^{3}  = 42.181

Therefore the volume of the second sphere is approximately 42 times larger

3 0
3 years ago
Simplify: <br> −(−3)2(5)2(7)3<br> 152<br><br> A) -343 <br> B) -127 <br> C) -75 <br> D) 126
Lilit [14]

Answer:

If I read your problem write:  126

Step-by-step explanation:

if I interpret this as

- (-3)* 2 * (5) * 2 * (7) * 3  divided by 5 * 2

we can get  126

because:

- (-3)* 2 * (5) * 2 * (7) * 3  divided by 5 * 2

= 6 * 5 * 2 *7 * 3 / (5*2)

= 60*7 * 3/ (5*2)

= 420 * 3 / 10

= 1260/10

= 126

7 0
3 years ago
The sides of a 30 60 90 triangle are 9 and 18.What is the third length of the triangle
Nimfa-mama [501]

Answer:  15.59 or 9√3

Step-by-step explanation:

We can use the Pythagorean Theorem to calculate the third side.

c² = a² + b²   In a 30 60 90 Triangle, the hypotenuse is twice the length of the short leg of the right angle.

c is the hypotenuse. a is the short leg

18² = 9² + b²

324 = 81 + b²  Subtract 81 from both sides.

324 - 81 = b²  becomes b² = 243   Take the square root of both sides

b = 15.5884 . This can  be rounded to 15.59 or 15.6 depending on significant digits or amount of precision required.

The proportions of the sides of the 30 60 90 triangle can also be used:

2² = 1² + b²

4 = 1 + b²

3 = b²

√3 = b

You can always multiply the length of the short leg by √3 to get the length of the side opposite the 60° angle

8 0
2 years ago
The length of Amy's rectangular kitchen is 12 feet. If the area of the room is at least 96 square feet, what is the smallest wid
leva [86]
The answer should be 8
6 0
3 years ago
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