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Katarina [22]
3 years ago
13

Two dice are thrown simultaneously. Given that sum of the numbers is NOT more than 5, what is the probability that sum is more t

han 3?
Mathematics
1 answer:
defon3 years ago
3 0
A method to know the probability is to list down all of the possible combinations that would present an outcome of not more than 5. This is listed below:

1 + 4
4 + 1
2 + 3
3 + 2
1 + 1
2 + 2
1 + 2
2 + 1
1 + 3
3 + 1

There are 10 possible outcomes. But among these, the only ones that can have a sum more than 3 are:

1 + 4
4 + 1
2 + 3
<span>3 + 2
</span>2 <span>+ 2
</span>1 + 3
3 + 1

There are only 7 possible outcomes that meet both requirements. Given that there are 7 outcomes within the total of 10, the probability would be 7/10, or 0.7.

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The mean of 2.7, 3.6 and 1.8
kolezko [41]
Set them up from least to greatest..
The mean is the average of all the data so..
The answer is 2.7
8 0
3 years ago
The director of the library believes that 14% of the library's collection is checked out. If the director is right, what is the
Ksivusya [100]

Answer: 0.2643

Step-by-step explanation:

Let p be the population proportion and \hat{p} be the sample proportion .

As per given question , we have

p=0.14\\\\ \hat{p}=0.13\\\\ n=478

z-score : \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

z=\dfrac{0.13-0.14}{\sqrt{\dfrac{0.14(1-0.14)}{478}}}\\\\=-0.630087269176\approx-0.63

The required probability ( using z-table ):-

P(z

Hence, the probability that the proportion of books checked out in a sample of 478 books would be less than 13% = 0.2643

5 0
3 years ago
A bicyclist started riding at 8:00 A.M. The diagram below shows the distance the bicyclist had traveled at different times. What
Usimov [2.4K]
I think that it is saying that 8:15-8:45 is 7.5 miles right? Then 8- 8:15 is 4.5 and you are trying to find the average of an HOUR. So in order to get an hour you need 15 more mins. Which is 4.5 miles according to the chart. (8-8:15). So 4.5+4.5+7.5=16.5. Divided by three is 5.5 miles per hour. I'm not sure but this is what I would do. 
5 0
2 years ago
The product is???<br><br> It is multiplication.
loris [4]

Answer:

123.76

Step-by-step explanation:

-3.4(-5.2) = 17.68

17.68(7)

123.76

Not sure if its correct but hope it helps!

7 0
2 years ago
Read 2 more answers
Dana can rent a van for either $80 with unlimited mileage or $45 plus 40 cents per mile. For what numbers of miles traveled woul
myrzilka [38]

Answer:

88 miles.

Step-by-step explanation:

$.40 x 88(miles) = $35.2

$35.2 + $45 = $80.20

Now, the reason it is 88 is because 87 miles would equal

$.40 x 87 = $34.8 (total is $79.80) so that would be $.20 short.

7 0
2 years ago
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