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Vesnalui [34]
3 years ago
8

Why should we write 9 not 10 ? And why 5 is 4 now why not 3?

Mathematics
1 answer:
xxMikexx [17]3 years ago
4 0

This is tricky to answer, but I'll do my best.

You cant subtract 3 from 0, unless you wish to go into the negatives.

So, you have to borrow from the 0s neighbor, who is in fact another 0.

So in order to help his neighbor, the middle number 0 borrows from his other neighbor, the number 5.

5 has some to spare, so he gives the middle 0 a 1, which turns himself into a 4 and that 0 into a 10.

Then the 10 gives the first 0 a 1, turning himself into a 9 and the first 0 into a 10.

It might be confusing, but thats how it works.

<em>Have a luvely day!</em>

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Find the ratio a:b, if 2a−b/6 = b/3
Tom [10]

Answer:

a:b = 2

Step-by-step explanation:

Here we need to operate with terms in order to arrive to a ratio a:b (or a/b).

We have:

2a−b/6 = b/3

Lets sum b/6 in both sides:

2a−b/6 + b/6 = b/3 + b/6

2a = b/3 + b/6

Now, we can multiply and divide b/3 by 2 to make a 6 appear on the denominator and sum it with b/6, this is, use common denominator:

2a = b/3*(2/2) + b/6

2a = 2b/6 + b/6

2a = 3b/6

2a = b/2, as 3/6 = 1/2

Now lets divide both sides by b to make an a/b appear:

2a/b = (b/2)/b

2a/b = 1/2

Finally, multiply both sides by (1/2) or divide by 2:

(2a/b)/2 = 2

a/b = 2

This is, a is twice as b. If b is 1 so a is 2; if b is 45 so a is 90, and so on.

7 0
4 years ago
In a recent survey of 25 voters, 17 favor a new city regulation and 8 oppose it. What is the probability that in a random sample
Rasek [7]

Answer:

P(X=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727

Step-by-step explanation:

1) Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

2) Solution to the problem

The probability in favor of the regulation based on the recent survey is:

p = \frac{17}{25}=0.68

Let X the random variable of interest "Number of favor respondents about the regulation", on this case we now that:

X \sim Binom(n=6, p=0.68)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

And we want to find this probability:

P(X=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727

If we use X= "Number of respondednts opposed to the regulation we got the same answer", but on this case p = 1-0.68=0.32, and we want this probability:

P(X=4)=(6C4)(0.32)^4 (1-0.32)^{6-4}=0.0727

6 0
3 years ago
Convert 6 yards into meters. Round your answer to the nearest tenth.
Helga [31]

Answer:

5.4864

Step-by-step explanation:

to the nearest tenth probably 0.5

6 0
3 years ago
A water tank is leaking such that for each of the next 5 hours, the amount of water in the tank will be 2 gallons less than at t
andre [41]

Answer:

C.  Linear decrease

Step-by-step explanation:

I can't really show a graph but I will try to explain

The water is leaking at a constant rate, meaning its not regaining it water (its only leaking). So if u were to graph this it would be a linear decrease

( That was a Terrible explanation but the answer is right lol)

7 0
3 years ago
You have just arrived at summer camp. And your cabin, the counselor has each camper perform the super secret handshake with ever
PSYCHO15rus [73]
Just try to follow my description. When two persons are in the cabin, there is only 1 handshake. When a third person comes, he will have to handshake the two people who came before him. So, there will be 2 handshakes. When a fourth person comes, he would make 3 handshakes with the 3 people who came before him. When the fifth person comes, he would make 4 handshakes with the 4 people who came before him. So, you see there is a pattern. The number of handshakes is 1 less than the total number of people inside the cabin. So, if there are 14 people in the cabin, the last person to come in would have to make 13 handshakes with the 13 people who came in first. Obtaining the sum of all the handshakes starting from the 2 handshakes initially to the 13 handshakes, the sum would be

Total handshakes = 2+3+4+5+6+7+8+9+10+11+12+13
Total handshakes = 90

Therefore, there will be a total of 90 handshakes made within the cabin of 14 people.
8 0
4 years ago
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