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Yuri [45]
2 years ago
5

The present age of Andy and Mike are in the ratio 5:3. If Andy had been 7 years older and Mike 7 years younger, the age of Andy

would have been 3 times the age of Mike. Find their present age​
Mathematics
1 answer:
Tju [1.3M]2 years ago
6 0

Answer: Andy is 35 and Mike is 21.

Step-by-step explanation:

Andy’s present age: Mike’s present age

= 5:3

Andy’s age in “if”: Mike’s age in “if”

=6:2

1 unit = 7

5 unit = 35 (Andy’s age)

3 unit = 21 (Mike’s age)

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Lisa has collected data to find that the number of pages per book on a book shelf has a normal distribution. What is the probabi
r-ruslan [8.4K]

Answer:

15.85%

Step-by-step explanation:

The empirical rule states that:

  • 68% of all data falls within 1 standard deviation of the mean
  • 95% of all data falls within 2 standard deviation of the mean
  • 99.7% of all data falls within 3 standard deviation of the mean

When we say 1,2,3 standard deviation of the mean, that is, it is evenly distributed in both sides of the mean. For example:

68/2 = 34% of data falls within mean - 1*standard deviation, and

also, 34% of data falls within mean + 1*standard deviation

Now, we see that 192 - 27 = 165, so this is 1 standard deviation of the mean [mean - 1*standard deviation], so 34% of data fall in that range.

But we want, data that ARE FEWER than 165. So, we use property of normal distribution.

Half of data (50%) is left of mean, of which 34% fall within 1 standard deviation So the remaining would fall fewer than 165.

That is 50 - 34 = 16 - 0.15 = 15.85%

<u><em>Note:</em></u> since 99.7% fall within 3 standard deviation of mean, so 100 - 99.7 = 0.3 which is distributed in both sides, so 0.3/2=0.15 is subtracted

6 0
3 years ago
for every 6 girls on the softball team there are 9 boys on the baseball team if there are 50 students on both teams how many are
taurus [48]
Key info-there are nine boys for every six girls on the softball team

9/6

9(3)=27. 6(3)18

18+27=45 5 more to go

if there is 50 students on each of the teams

9(5)=45
6(8)=48

As one can see,they both cannot multiply up to 50,but they round up.
5 0
3 years ago
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10 points
Vinil7 [7]
Real and rational and integer?
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3 years ago
Find the value of the following expression 100 - 2(x + 5) when x = 10 *
Ede4ka [16]

Answer:

70

Step-by-step explanation:

100 - 2(x + 5) = 100 - 2x - 10 = 90 -2x

90 - 2x

90 - 2×10

90 - 20 = 70

4 0
2 years ago
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Answer:

1. A = 120

2. B = 98

3. C = 86

4. D = 176

Step-by-step explanation:

4 0
3 years ago
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