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Anna35 [415]
3 years ago
11

The depth of a swimming pool is 8.5 meters. what is half of the depth in millimeters

Mathematics
2 answers:
nydimaria [60]3 years ago
5 0
Half of 8.5 is 4.25

4.25*100=4250
Vikki [24]3 years ago
5 0

Given that depth of a swimming pool is = 8.5 meters

Now question says to find the half of depth in milimeters.

"half" basically means divide the given number by 2.


before doing that let's convert 8.5 meters into milimeters because final answer is requested in milimeters

we know that 1 meter = 1000 milimeters

So 8.5 meters = 8.5* 1000 = 8500 milimeters


Now we can divide 8500 by 2 find the required answer.

8500/2 = 4250


Hence final answer is 4250 meters.

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A manufactured lot of buggy whips has 20 items, of which 5 are defective. A random sample of 5 items is chosen to be inspected.
dimulka [17.4K]

Answer:

a. 39.55%

b. 44.02%

Step-by-step explanation:

We have the following data:

n = 5

x = 1

p = 5/20 = 0.25

to. If the sampling is done with replacement.

We apply the binomial distribution formula, which is as follows:

P = nCx * (p ^ x) * ((1-p) ^ (n-x))

Where nCx, is a combination, and is equal to:

nCx = n! / x! * (n-x)!

replacing we have:

5C1 = 5! / 1! * 4! = 5

replacing in the main formula:

P = 5 * (0.25 ^ 1) * ((1- 0.25) ^ (5-1))

P = 0.3955

that is, without replacing the probability is 39.55%

b. if the sampling is done without replacement.

Here it is a little different from the previous one, but what you should do is calculate three cases,

the first was the one at point a, when n = 5 and x = 1

5C1 = 5! / 1! * 4! = 5

the second is when n = 20 and x = 5, this is all possible scenarios.

20C5 = 20! / 5! * 15! = 15504

and the third is when n = 15 (20-5) and x = 4 (5-1), which corresponds to the cases when none were damaged

15C4 = 15! / 4! * 11! = 1365

In the end, it would be:

P = (5C1 * 15C4) / 20C5

Replacing:

P = 5 * 1365/15504

P = 0.4402

Which means that without replacing the probability is 44.02%

7 0
3 years ago
What is the function to 5c+4=2 (c-5)
Vinvika [58]
To solve the function we proceed as follows:
5c+4=2(c-5)
opening the parentheses we get:
5c+4=2c-10
putting like terms together we get
5c-2c=-10-4
3c=-14
c=-14/3        
4 0
3 years ago
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