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Archy [21]
4 years ago
15

In 1990, California switched from a 6/49 lottery to a 6/53 lottery. Later, the state switched again to a 6/51 lottery. (a) Find

the probability of winning first prize in a 6/49 lottery. (b) Find the probability of winning first prize in a 6/53 lottery. (c) Find the probability of winning first prize in a 6/51 lottery. (d) How much more probable is it that one will win the 6/49 lottery than the 6/53 lottery? (Round your answer to the nearest whole number.)
Mathematics
1 answer:
zalisa [80]4 years ago
8 0

Answer:

(a) 9.9321*10^{-11}

(b) 6.0498*10^{-11}

(c) 7.7120^{-11}

(d) 1.6417 times more probable

Step-by-step explanation:

(a) The probability of winning a 6/49 lottery is given by:

P = \frac{1}{49*48*47*46*45*44} =9.9321*10^{-11}

(b) The probability of winning a 6/53 lottery is given by:

P = \frac{1}{53*52*51*50*49*48} =6.0498*10^{-11}

(c) The probability of winning a 6/51 lottery is given by:

P = \frac{1}{51*50*49*48*47*46} =7.7120^{-11}

(d) The ratio between the probabilities of winning the 6/49 lottery and winning the 6/53 lottery is:

r=\frac{9.9321*10^{-11}}{6.0498^{-11}}\\r=1.6417

It is 1.6417 times more probable.

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A group of 266 persons consist of men , women and children and there are four times as many men as children and twice as many wo
klasskru [66]

Answer:

see explanation

Step-by-step explanation:

Let c represent the number of children, then

number of men = 4c and number of women = 2c

Sum the numbers of each and equate to 266

4c + 2c + c = 266, that is

7c = 266 ( divide both sides by 7 )

c = 38

Thus

4 × 38 = 152 and 2 × 38 = 76

The group consists of 38 children, 152 men and 76 women

3 0
3 years ago
The table shows the number of miles each person ran this week who ran more miles by te end of the week How many More?
Tasya [4]
To calculate who ran more, you add up the total miles
Pat = 2.75+3+2.5 = 8.25
Toby = 2+2.25+3.5 = 7.75
Now subtract to see who ran more
Pat ran 0.5 miles more than Toby.

Hope this helps 
5 0
3 years ago
I need help with this topic. Please help :)
OverLord2011 [107]
Notice the dependent and independent variables. X axis is usually the independent while y is the dependent. The dependent variable is affected by the independent one. Ravi is driving at a constant speed, which one looks like it is not changing in any direction whatsoever? But, Ravi is speeding up, so which one is adding the speeding (moving up) part of Ravi's driving? And finally, what graph also showcases the visual of Ravi slowing down after he was driving at a constant speed and then speeding up (hint: straight, up, down)?
5 0
3 years ago
80% is 125% of what number?
Korvikt [17]

Answer:

125 is 80% of 156.25

Working out percentages

We have, 80% × x = 125

or,  

<u>80 </u>

100

x = 125

Multiplying both sides by 100 and dividing both sides by 80,

we have x = 125 ×  

<u>100 </u>

80

x = 156.25

If you are using a calculator, simply enter 125×100÷80, which will give you the answer.

Hope This Helps!    Have A Nice Day!!

5 0
3 years ago
What 2 numbers whose sum is 105.7 the numbers are 19, 85.2, 533, 571, 88.2, 525, 20, 17.5, 400, 261, 20.5 ,125, 7, 23, 901, 30
givi [52]
To make it quickly we can consider only those numbers which will give us a decimal of xxx.7. There are only a few numbers like this: 85.2, 88.2, 20.5.
 
I tried adding 85.2 to 17.5 and it gave me 102.5 - it was close but not close enough :)

So I picked 85.2 + 20.5 = 105.7 and voila :)
6 0
3 years ago
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