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Lorico [155]
3 years ago
11

Write the following decimal number in its equivalent fraction form. -3.143

Mathematics
2 answers:
Rzqust [24]3 years ago
8 0
-3.143 is equivalent to -(3143/1000)
m_a_m_a [10]3 years ago
6 0
I think it's -3 and 143/1000
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3 years ago
A tank of water holding 528 kl of water begain to empty at a rate of 10 kl/min at the same time a another tank whitch is empty b
torisob [31]
This is a system of equations.  The first equation represents the tank being emptied and the second equation represents the tank being filled:

k = -10t + 528
k = 14t

To solve this system of equations, we will use substitution. The second equation says that k is equal to 14t, so we can substitute 14t for k in the first equation.

14t = -10t + 528
24t = 528
t = 22

Now that we have t, we can use it to find k by plugging it in to the second equation:

k = 14(22)
k = 308

So, it will take 22 minutes for both tanks to hold equal amounts of water. They will each hold 308 kiloliters.
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3 years ago
For positive integers $n$, let $f(n)$ return the smallest positive integer $k$ such that $\frac{1}{k}$ has exactly $n$ digits af
disa [49]

Answer:

There are a total of 2011 integer divisors.

Step-by-step explanation:

The only primes p such that 1/p has finite spaces after the coma are 2 and 5. If we divide a number with last digit odd we will obtain 1 extra digit after the decimal point and if we divide a number by 5 we will obtain 1 more digit if that number has a last digit in the decimal which is not a multiple of 5.

If we take powers of those primes we will obtian one more digit each time. In order to obtain more digits it is convinient to divide by a power of 2 instead of a power of 5, because the resulting number will be smaller.

If we want 2010 digits after the decimal point, we need to divide 1 by 2 a total of 2010 times, hence f(2010) = 2²⁰¹⁰, which has as positive integer divisors every power of 2 between 0 and 2010, hence there are a total of 2011 integer divisors of f(2010).

3 0
3 years ago
Does the following graph have horizontal or vertical symmetry?
Dvinal [7]
Vertical symetticalt
7 0
3 years ago
Read 2 more answers
In a state where license plates contain six digits, what is the probability that the license number of a randomly selected car h
andre [41]

Answer:

Step-by-step explanation:

Given : In a state where license plates contain six digits.

Probability of that a number is 9 = \dfrac{1}{10}   [Since total digits = 10]

We assume that each digit of the license number is randomly selected  .

Since each digit in the license plate is independent from the other  and there is only two possible outcomes for given case (either 9 or not), so we can use Binomial.

Binomial probability formula:  P(X=x)=^nC_xp^x(1-p)^{n-x}

, where n= total trials , p = probability for each success.

Let x be the number of 9s in the license plate number.

X\sim Bin(n=6, p=\dfrac{1}{10}})

Then, the probability that the license number of a randomly selected car has exactly two 9's will be :

P(X=2)=^6C_2(\dfrac{1}{10})^2(1-\dfrac{1}{10})^{6-2}\\\\=\dfrac{6!}{2!(6-2)!}(\dfrac{1}{100})(\dfrac{9}{10})^4=0.098415

Hence, the required probability = 0.098415

5 0
3 years ago
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