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inn [45]
3 years ago
6

Mary wrote 4 integers. The sum of those integers is -22. The difference between the greatest and least integer is +50. What are

the 4 integers?
Mathematics
1 answer:
romanna [79]3 years ago
3 0
Add them agnd get -22
therefor at least one must be negative

difference between the greaterst and the least is 50
that means that the smallest one is 50 away from the smallest one

so just find numbers that subtract to get 50 and are less than -22 so
one example is
-25 and 25 since 25-(-25)=25+25=50
then add them and get filler milddle numbers to add to -22
-25+25=0
therefor the other 2 numbers could be anything that adds to -22 and is less than 25 and greater than 25
numbers are -20 and -2

therefor
numbers are
-25,-20,-2,25
add
-25+-20+-2+25=-22
subtract
25-(-25)=25+25=50
TADA
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Birth weights in the United States are normally distributed with a mean of 3420 g and a standard deviation of 495 g. The Newport
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Answer:

P(2450

And we can find this probability with this difference:

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If we use the normal standard table or excel we got:

P(-1.96

And that represent 95% of the data. so then the percentage below 2450 is 2.5% and above 4390 is 2.5 %

Step-by-step explanation:

Let X the random variable that represent the birth weights of a population, and for this case we know the distribution for X is given by:

X \sim N(3420,495)  

Where \mu=3420 and \sigma=495

We are interested on this probability

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And we can use the z score formula given byÑ

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(2450

And we can find this probability with this difference:

P(-1.96

If we use the normal standard table or excel we got:

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6 0
3 years ago
This problem is taken from the delightful book "Problems for Mathematicians, Young and Old" by Paul R. Halmos. Suppose that 681
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Step-by-step explanation:

Suppose that 681 tennis players want to play an elimination tournament.

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2nd round:

There will be 170 winners plus one player which sits - 171 players for the next round and 170 games

3rd round:

There will be 85 winners plus one player which sits - 86 players for the next round and 85 games

4th round:

There will be 43 winners - 43 players for the next round and 43 games

5th round:

There will be 21 winners plus one player which sits - 22 players for the next round and 21 games

6th round:

There will be 11 winners  - 11 players for the next round and 11 games

7th round:

There will be 5 winners plus one player which sits - 6 players for the next round and 5 games

8th round:

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9th round:

There will be 1 winner plus one player which sits - 2 players for the next round and 1 game

10th round - final:

1 champion and 1 game.

In total,

340 + 170 + 85 + 43 + 21 + 11 + 5 + 3 + 1 + 1 = 680 games

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