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notka56 [123]
2 years ago
5

Is 3/4 closer to 0 or 1?

Mathematics
1 answer:
ololo11 [35]2 years ago
8 0

Answer:

It is closer to 1

Step-by-step explanation:

3/4 is 1/4 away from 1, whereas 0 is 3/4 away from 3/4. So, 1 is closer.

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You have won the lottery and will receive 20 annual payments of $10,000 starting today. If you can invest these payments at 8.5%
xxTIMURxx [149]

Answer:

$102,677.20

Step-by-step explanation:

The present value of an annuity due is determined by the following expression:

PV = P+P*(\frac{1-(1+r)^{-n+1}}{r})

Where 'P' is the amount of each payment received, 'r' is the interest rate on the investment and 'n' is the number of yearly payments.

With 20 annual payments of $10,000 at a rate of 8.5%, the present value is:

PV = 10,000+10,000*(\frac{1-(1+0.085)^{-20+1}}{0.085})\\PV = 10,000+ 10,000*(9.26772)\\PV=\$102,677.20

The present value of your winnings is $102,677.20.

8 0
3 years ago
Help please need to be done now​
4vir4ik [10]
The radius of the new sphere is 9


The new SA should be 1017.36 in



New volume should be 3052.08in^3
4 0
2 years ago
A recent survey based on a random sample of n=470 voters, predicted that independent candidate for the mayoral election will get
julsineya [31]

I have an expression

\sigma = \sqrt{p(1-p)/n}

floating around in my head; let's see if it makes sense.

The variance of binary valued random variable b that comes up 1 with probability p (so has mean p) is

E( (b-p)^2 ) =  (-p)^2(1-p) + (1-p)^2p = p(1-p)

That's for an individual sample. For the observed average we divide by n, and for the standard deviation we take the square root:

\sigma = \sqrt{p(1-p)/n}

Plugging in the numbers,

\sigma = \sqrt{.24(1-.24)/490} = 0.019 = 1.9\%

One standard deviation of the average is almost 2% so a 27% outcome was 3/1.9 = 1.6 standard deviations from the mean, corresponding to a two sided probability of a bit bigger than 10% of happening by chance.

So this is borderline suspect; most surveys will include a two sigma margin of error, say plus or minus 4 percent here, and the results were within those bounds.

7 0
3 years ago
The number s is one third the number t. Which number sentence shows the relationship between s and t?
Mashcka [7]
S= 1/3t (T is one third of s)
8 0
3 years ago
James packs books into boxes. He packs 20 books into each box. James packs x boxes of books. write an expression, in terms of x,
Paraphin [41]
There are 20 books in each box.
If each box has 20 books, then the number of books is 20 times the number of boxes. (20 books: 1 box, 40 books: 2 boxes...)

So, using mathematical terms, the number of books is equal to the number of boxes x 20.

Here, it says James packs x boxes of books. This means that we call the number of boxes, x. X could be 1,2,3, or any other number.

So, since there are 20 times as many books as boxes, the number of books is 20 times x.

In math terms, this is written like 20x.
So the answer is 20x.
3 0
3 years ago
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