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NARA [144]
2 years ago
11

If three slugs have six eye-stalks, then two will have __ eye-stalks

Mathematics
2 answers:
pantera1 [17]2 years ago
5 0

Answer:

four

Step-by-step explanation:

blondinia [14]2 years ago
3 0

Answer:

two

Step-by-step explanation:

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Add all the books then find the average

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assuming the growth rate stays constant at 1.2%, how many doublings would take place in a 500- year period?
Juliette [100K]

9514 1404 393

Answer:

  8.6

Step-by-step explanation:

The growth factor per year is 1.012, so in 500 years is ...

  1.012^500

The number of doublings is the solution to ...

  2^n = 1.012^500

Taking logarithms, we have ...

  n·log(2) = 500·log(1.012)

  n = 500·log(1.012)/log(2) ≈ 8.6046

About 8.6 doublings will take place in 500 years.

3 0
2 years ago
Suppose that p is the probability that a randomly selected person is left handed. The value (1-p) is the probability that the pe
solmaris [256]

Answer:

a) 1/2

b) 250

Step-by-step explanation:

The start of the question doesn't matter entirely, although is interesting to read. What we are trying to do is find the value for p such that 1000p(1-p) is maximized. Once we have that p, we can easily find the answer to part b.

Finding the value that maximizes 1000p(1-p) is the same as finding the value that maximizes p(1-p), just on a smaller scale. So, we really want to maximize p(1-p). To do this, we will do a trick called completing the square.

p(1-p)=p-p^2=-p^2+p=-(p^2-p)=-(p^2-p+1/4)-(-1/4)=-(p-1/2)^2+1/4.

Because there is a negative sign in front of the big squared term, combined with the fact that a square is always positive, means we need to find the value of p such that the inner part of the square term is equal to 0.

p-1/2=0\\p=1/2.

So, the answer to part a is \boxed{1/2}.

We can then plug 1/2 into the equation for p to find the answer to part b.

1000(1/2)(1-1/2)=1000(1/2)(1/2)=1000*1/4=250.

So, the answer to part b is \boxed{250}.

And we're done!

3 0
2 years ago
The sum of two numbers is 97. One number is 1 more than twice the other number. Find the two numbers.​
guajiro [1.7K]

Answer:

The 2 numbers are 32 and 65.

Step-by-step explanation:

x + y = 97   where x and y are the 2 numbers.

x = 2y + 1

Substituting for x in the first equation:

2y + 1 + y = 97

3y = 96

y = 32.

So x = 2y + 1 = 64 + 1 = 65.

4 0
3 years ago
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