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ikadub [295]
2 years ago
7

State the horizontal asymptote of the rational function. f(x) = 3x^2 -4x -3/ 2x^2 - 3x+2

Mathematics
1 answer:
irina1246 [14]2 years ago
3 0

Answer:

Step-by-step explanation:

\displaystyle  \lim_{x \to \infty} \dfrac{3x^2-4x-3}{2x^2-3x+2} =\dfrac{3}{2} \\

Horizontal asymptote has for equation y=3/2

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What number is 7 units to the left of -1?
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Answer:

the answer to your question is -8

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3 years ago
Solve x^2 – 8x + 41 = 0 for x.
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<span>\displaystyle x^2 - 8x + 41 = 0 \\\\ \Delta=b^2-4ac \\ \Delta=(-8)^2-4\cdot1\cdot41 \\ \Delta=64-164 \\ \Delta=-100 \\ \\ X_{1,2}= \frac{-b\pm i \sqrt{-\Delta} }{2a} = \frac{8 \pm 10i}{2} \\ \\ X1=4-5i \\ \\ X2=4+5i</span>
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Fifty-three percent of employees make judgements about their co-workers based on the cleanliness of their desk. You randomly sel
GarryVolchara [31]

Answer:

The unusual X values ​​for this model are: X = 0, 1, 2, 7, 8

Step-by-step explanation:

A binomial random variable X represents the number of successes obtained in a repetition of n Bernoulli-type trials with probability of success p. In this particular case, n = 8, and p = 0.53, therefore, the model is {8 \choose x} (0.53) ^ {x} (0.47)^{(8-x)}. So, you have:

P (X = 0) = {8 \choose 0} (0.53) ^ {0} (0.47) ^ {8} = 0.0024

P (X = 1) = {8 \choose 1} (0.53) ^ {1} (0.47) ^ {7} = 0.0215

P (X = 2) = {8 \choose 2} (0.53)^2 (0.47)^6 = 0.0848

P (X = 3) = {8 \choose 3} (0.53) ^ {3} (0.47)^5 = 0.1912

P (X = 4) = {8 \choose 4} (0.53) ^ {4} (0.47)^4} = 0.2695

P (X = 5) = {8 \choose 5} (0.53) ^ {5} (0.47)^3 = 0.2431

P (X = 6) = {8 \choose 6} (0.53) ^ {6} (0.47)^2 = 0.1371

P (X = 7) = {8 \choose 7} (0.53) ^ {7} (0.47)^ {1} = 0.0442

P (X = 8) = {8 \choose 8} (0.53)^{8} (0.47)^{0} = 0.0062

The unusual X values ​​for this model are: X = 0, 1, 7, 8

6 0
3 years ago
Read 2 more answers
The average time between infection with the AIDS virus and developing AIDS has been estimated to be 8 years with a standard devi
Dahasolnce [82]

Answer:

1/40

Step-by-step explanation:

3 0
2 years ago
Gavin and his three friends want to share 1/3of cake equally. Gavin says that each friend will get 1/9 of the cake. Use the drop
Alexxandr [17]

Answer: Incorrect

Step-by-step explanation:

Given

Gavin and his three friends wants to share \frac{1}{3} of cake equally.

So, there are 4 members to distribute the cake

Each member will get

\Rightarrow \dfrac{\dfrac{1}{3}}{4}\\\\\Rightarrow \dfrac{1}{3\times 4}=\dfrac{1}{12}

So, each member get one-twelvefth of the given cake.

Hence, Gavin is  incorrect.

6 0
3 years ago
Read 2 more answers
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