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3 years ago

60x-3x to the second power divided by 3x

1 answer:

4 0

One way is to find ones or factors
example 4/2=2/2 times 2/1=1 times 2/1

then we undistribute the factor
we want a factor of 3x to make a one
60x=3x times 20
-3x^2=3x tiimes -x
use undistributive property which is
ab+ac=a(b+c)
so
60x-3x=3x(20)+3x(-x)=3x(20-x)
so now we have
[3x(20-x)]/3x=(3x/3x) times (20-x)/1=1 times 20-x=20-x

answer is 20-x

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A constant term in an expression or equation contains no variables. In other words, it’s just number on its own. For example: f (x) = 2x2 + 3 (the constant term is 3). Other examples of constant terms: 5, -99, 1.2 and pi (π = 3.14…).

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a) $X \sim Binom(n=16, p=0.2)$

The probability mass function for the Binomial distribution is given as:

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b) $P(X=0)=(16C0)(0.2)^{0} (1-0.2)^{16-0}=0.02815$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Part a

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=16, p=0.2)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

The expected value is given by this formula:

$E(X) = np=16*0.2=3.2$

Part b

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The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

And using this function we got:

$P(X=0)=(16C0)(0.2)^{0} (1-0.2)^{16-0}=0.02815$

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3 years ago

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If Jason is pulling with a force of 19 Newtons and his arm is at an angle of 30° with the horizontal.

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