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netineya [11]
3 years ago
12

The odds in favor of an event are 2:9 or 2/9. What are the odds against the event?

Mathematics
1 answer:
ddd [48]3 years ago
5 0

Answer:

Odds against the events are 7/9.

Step-by-step explanation:

It is given that:

Odds in favor of event = 2 : 9 or 2/9

Let,

These odds are out of 1.

The odds against the event would be

Odds against = 1 - 2/9

Odds against = \frac{9-2}{9}

Odds against = \frac{7}{9}

Therefore,

Odds against the events are 7/9.

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Solve for x: -5bracket(-3x+1)=-45
yawa3891 [41]

Answer:

X=3.33

Step-by-step explanation:

5(-3x+1)=-45

-15x+5=-45

-15x=-45-5

-15x=-50

x=3.33

6 0
2 years ago
Read 2 more answers
A mine worker is in a tunnel 25 feet below the ground. He descends another 13 feet. What is his final position? i already know t
Marina86 [1]

Answer:  -25 - 13

This simplifies to -38

So the worker's final position is 38 feet below the ground.

A diagram is shown below.

==========================================================

Explanation:

Draw a vertical number line. Plot 0 on it to indicate the ground level, or surface level. Then plot -25 on it, which is below 0. This is 25 feet below the ground.

To move 13 further feet downward, we will subtract 13 from -25. Subtracting a positive means we move downward.

For example, start at the 30th of a building. This is marked as +30 or just 30 on the vertical number line. Subtract off 13 to go down 13 floors and we have 30-13 = 17. So after going down 13 floors, we're at the 17th floor now.

Going back to the problem at hand, we start at -25 and subtract off 13 to get the final answer -25 - 13

The answer is not -25 - -13 and it is not -25 - (-13). This is because the two negatives cancel to be a positive. So -25 - (-13) becomes -25+13. Here we're starting at -25 but then going up 13 feet. Instead we want to go down 13 feet.

------------------------------------

After we determine the expression is -25 - 13 we will effectively add the positive versions of those numbers like so

25+13 = 38

But the final answer is negative because we're starting underground and moving further underground.

We can write it like this

-25 - 13 = -(25+13) = -(38) = -38

Therefore, if the worker starts off 25 feet underground, and moves 13 feet downward, then the worker ends up 38 feet underground. Again, use the vertical number line to help see this.

Check out the diagram below.

7 0
3 years ago
Evaluate : <br> \(\cos 12 \cos 24 \cos 36 \cos 48 \cos 72 \cos 84\)
NeTakaya
The answer in itself is 1/128 and here is the procedure to prove it:
cos(A)*cos(60+A)*cos(60-A) = cos(A)*(cos²60 - sin²A) 

<span>= cos(A)*{(1/4) - 1 + cos²A} = cos(A)*(cos²A - 3/4) </span>

<span>= (1/4){4cos^3(A) - 3cos(A)} = (1/4)*cos(3A) </span>

Now we group applying what we see above

<span>cos(12)*cos(48)*cos(72) = </span>
<span>=cos(12)*cos(60-12)*cos(60+12) = (1/4)cos(36) </span>

<span>Similarly, cos(24)*cos(36)*cos(84) = (1/4)cos(72) </span>

<span>Now the given expression is: </span>

<span>= (1/4)cos(36)*(1/4)*cos(72)*cos(60) = </span>

<span>= (1/16)*(1/2)*{(√5 + 1)/4}*{(√5 - 1)/4} [cos(60) = 1/2; </span>
<span>cos(36) = (√5 + 1)/4 and cos(72) = cos(90-18) = </span>
<span>= sin(18) = (√5 - 1)/4] </span>
<span>And we seimplify it and it goes: (1/512)*(5-1) = 1/128</span>
4 0
4 years ago
Last month, when Joe took his puppy to the veterinarian, the puppy weighed 4.8 pounds. This month, the puppy weighed 6.72 pounds
Anvisha [2.4K]

Answer:40% weight increase

Step-by-step explanation:

3 0
3 years ago
PLEASE HELP ME I REALLY NEED IT!!!!!!
sergejj [24]
With what do you need help with
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3 years ago
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