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3 years ago

Which is a cubic function? a. f(x) = 3x + 1 b. f(x) = 3x2 + x + 2 c. f(x) = 5x3 + 2x + 1 d. f(x) = x3 + x4 + 5

Mathematics

2 answers:

Hatshy [7]3 years ago

8 0

A cubic function is a function with the highest degree of 3. So the answer is V

Andrews [41]3 years ago

8 0

Answer:

Option C is a cubic function

Step-by-step explanation:

Given the options we have to choose the cubic function

Cubic function is the function with degree 3 i.e the highest power of variable is 3.

Option a: $f(x)=3x+1$

The above polynomial has highest power 1 i.e of degree 1

∴ not a cubic function

Option b: $f(x)=3x^2+x+2$

The above polynomial has highest power 2 i.e of degree 2

∴ not a cubic function

Option c: $f(x)=5x^3+2x+1$

The above polynomial has highest power 3 i.e of degree 3

∴ above is a cubic function

Option d: $f(x)=x^3+x^4+5$

The above polynomial has highest power 4 i.e of degree 4

∴ not a cubic function

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if you roll a fair 6-sided die 9 times, what is the probability that at least 2 of the rolls come up as a 3 or a 4?

Kay [80]

Using the binomial distribution, it is found that there is a 0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.

For each die, there are only two possible outcomes, either a 3 or a 4 is rolled, or it is not. The result of a roll is independent of any other roll, hence, the <em>binomial distribution</em> is used to solve this question.

Binomial probability distribution

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

There are 9 rolls, hence $n = 9$ .

Of the six sides, 2 are 3 or 4, hence $p = \frac{2}{6} = 0.3333$

The desired probability is:

$P(X \geq 2) = 1 - P(X < 2)$

In which:

$P(X < 2) = P(X = 0) + P(X = 1)$

Then

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{9,0}.(0.3333)^{0}.(0.6667)^{9} = 0.026$

$P(X = 1) = C_{9,1}.(0.3333)^{1}.(0.6667)^{8} = 0.117$

Then:

$P(X < 2) = P(X = 0) + P(X = 1) = 0.026 + 0.117 = 0.143$

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.143 = 0.857$

0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.

For more on the binomial distribution, you can check brainly.com/question/24863377

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2 years ago

Kevin received 1105 marbles. Kevin would like to give each of his friends some marbles. If Kevin has 12 friends, how many marble

ahrayia [7]

Answer:

85 for each person including kevin

3 0

3 years ago

Any suggestions or answers

Sati [7]

Answer:

$x=81\degree$

$y=99\degree$

$z=129\degree$

Step-by-step explanation:

The sum of the interior angles of a triangle is 180 degrees.

$\implies 51\degree+48\degree+x=180\degree$

$\implies 99\degree+x=180\degree$

$\implies x=180\degree-99\degree$

$\implies x=81\degree$

Use the exterior angles theorem to find y.

The exterior angle y is the sum of the two remote interior angles:

$y=51\degree+48\degree=99\degree$

The sum of angles on a straight line is 180 degrees.

$\implies z+51\degree=180\degree$

$\implies z=180\degree-51\degree$

$\implies z=129\degree$

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3 years ago

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Nadya [2.5K]

Answer:

31°

Step-by-step explanation:

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3 years ago

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Nadya [2.5K]

Answer:

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3 years ago

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