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3 years ago

2,000 mL= L Please show work

Mathematics

2 answers:

mel-nik [20]3 years ago

3 0

2000 mL= 2 L
Hope this helps
:D

sertanlavr [38]3 years ago

3 0

$2000 ml = 2000*10^{-3} l = 2 l$

In short, the answer would be : 2 liters.

Hope this helps !

Photon

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Find the probability that a randomly generated bit string of length 10 does not contain a 0 if bits are independent and if:a) a

lara31 [8.8K]

Answer:

A) 0.0009765625

B) 0.0060466176

C) 2.7756 x 10^(-17)

Step-by-step explanation:

A) This problem follows a binomial distribution. The number of successes among a fixed number of trials is; n = 10

If a 0 bit and 1 bit are equally likely, then the probability to select in 1 bit is; p = 1/2 = 0.5

Now the definition of binomial probability is given by;

P(K = x) = C(n, k)•p^(k)•(1 - p)^(n - k)

Now, we want the definition of this probability at k = 10.

Thus;

P(x = 10) = C(10,10)•0.5^(10)•(1 - 0.5)^(10 - 10)

P(x = 10) = 0.0009765625

B) here we are given that p = 0.6 while n remains 10 and k = 10

Thus;

P(x = 10) = C(10,10)•0.6^(10)•(1 - 0.6)^(10 - 10)

P(x=10) = 0.0060466176

C) we are given that;

P((x_i) = 1) = 1/(2^(i))

Where i = 1,2,3.....,n

Now, the probability for the different bits is independent, so we can use multiplication rule for independent events which gives;

P(x = 10) = P((x_1) = 1)•P((x_2) = 1)•P((x_3) = 1)••P((x_4) = 1)•P((x_5) = 1)•P((x_6) = 1)•P((x_7) = 1)•P((x_8) = 1)•P((x_9) = 1)•P((x_10) = 1)

This gives;

P(x = 10) = [1/(2^(1))]•[1/(2^(2))]•[1/(2^(3))]•[1/(2^(4))]....•[1/(2^(10))]

This gives;

P(x = 10) = [1/(2^(55))]

P(x = 10) = 2.7756 x 10^(-17)

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2 years ago

The city of Raleigh has 10400 registered voters. There are two candidates for city council in an upcoming election: Brown and Fe

iVinArrow [24]

Answer:

Step-by-step explanation:

Hello!

a) The population of interest is the registered voters of the city of Raleigh.

b) This population is finite and its size is 10400 voters.

c) The sample was taken by making a telephone poll, calling 400 registered voters.

d) The sample size is n= 400 voters

The number of people that answered they'd vote for Brown are 151, so the sample proportion of voters that would vote for bron is:

p= 151/400= 0.3775 ≅ 0.38

e) To know how many people is expected to vote for Brown based on the results of the telephone poll you can do the following calculation:

10400*0.38= 3952

Based on the information obtained from the sample, it is expected that only 3952 voters will vote for Brown.

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lutik1710 [3]

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2 years ago

Find segment ET. Please and thank you

Solnce55 [7]

Answer:

x=9

Step-by-step explanation:

Use the intersecting chord theorem:

RE*ET = UE*ES

Substitute values

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42x+42 = 30x + 150

transpose and simplify

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2 years ago

What is the domain and range of the relation shown in the table?

TEA [102]

Answer:

domain: {10,15,19,32}

range:{5,9,-1}

Step-by-step explanation:

As we know domain is the values of input and range is the values of output.

Here , x is the input and y is the output.

$\left[\begin{array}{cc}x&y\\10&5\\15&9\\19&-1\\32&5\end{array}\right]$

Thus the input values according to the given problem is : 10 ,15 , 19, and thus ,

⇒The domain would accordingly be these four numbers : 10 , 15 , 19 , 32.

Note that we donot have any information regarding the other values of x.

The range is : { 5,9,-1 } only as the 5 is repeated in two cases .

Range is unique and there must be not repetition. Thus the apt answer would be :

domain: {10,15,19,32}

range:{5,9,-1}

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2 years ago