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VARVARA [1.3K]
4 years ago
14

Consider the following statement: If Paul is older than Bill and Fred is younger than Bill, then Bill's age is between Paul's an

d Fred's. Write the To Prove statement:
Mathematics
2 answers:
vovangra [49]4 years ago
8 0

Answer & Step-by-step explanation:

To prove statement: Prove that Bill's age is between Paul's and Fred's. The to prove statement of a conditional in found in the conclusion of the conditional.

<h2>___________________________________________________</h2><h2><em>I AM ALWAYS HAPPY TO HELP :)</em></h2>
sveticcg [70]4 years ago
7 0

Explanation:

It is given than Paul is older than Bill.

Let age of Bill= x years, as x is a  natural number.

Then, age of Paul = (x + a) Years, where a is any natural number.

And, Fred is younger than Bill.

So, age of Fred= x - k, where k is any natural number.

So, if we arrange the ages of Fred, Bill and Paul, their ages would be

Fred < Bill < Paul

x-k < x < x+a

Hence, we can say that , Paul is eldest, and Fred is smallest member between  three.

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89,74,92,80, the mean score is 79 what the number is missing???
katrin2010 [14]

The missing number in the given data that has a mean of 79 is: 60.

<h3>How to Find the mean of a Data?</h3>

The mean of a data set is simply the average, that is, it is the sum of all data values divided by the number of data values.

Let x represent the missing number in the data. If the mean is 79, we would have the following:

(89 + 74 + 92 + 80 + x)/5 = 79

(335 + x)/5 = 79

335 + x = 5(79)

335 + x = 395

x = 395 - 335

x = 60

Missing number is: 60.

Learn more about about the mean of a data on:

brainly.com/question/11015069

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7 0
2 years ago
If a person picks a pair of different Months, what is the probability that both months (different) have less than 31 days?
wlad13 [49]

Answer:

15.15% probability that both months (different) have less than 31 days.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Also, the order of the months is not important. For example, picking July and August is the same as picking August and July. So the combinations formula is used to solve this problem

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

There are 12 months, of which February, April, June, September and November, that is, 5 of them, have less than 31 months.

Desired outcomes:

Picking 2 months from a set of 5(those with less than 31 days). So

D = C_{5,2} = \frac{5!}{2!(3)!} = 10

Total outcomes:

Picking 2 months from a set of 12(all the months). So

T = C_{12,2} = \frac{12!}{2!(10)!} = 66

Probability:

P = \frac{10}{66} = 0.1515

15.15% probability that both months (different) have less than 31 days.

5 0
3 years ago
Hshshdh pls awnser as soon as possible
gogolik [260]
Volume of sphere = 4/3(pi)(r^3)
Given pi = 3.14, r = 10
4/3(3.14)(10^3)
= 4186.66
Now round to hundredths

Solution: 4186.67 cubic meters
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