Addition 1.4 +1.8 what is the answer

A perfect square is created when a value is multiplied times itself. Thus, $(a + b)(a + b) = a^2 + 2ab + b^2$ , making the trinomial a² + 2ab + b² a perfect square.

To show that a trinomial is a perfect square you must show that if the first and third terms are squares, figure out what they're squares of. Multiply those things, multiply that product by 2, and then compare your result with the original quadratic's middle term. If you've got a match (ignoring the sign), then you've got a perfect-square trinomial.

The trinomial $4x^2+32x+8$ is not a perfect square trinomial because the third term is not a square.

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3 years ago

An optical inspection system is used to distinguish among different part types. The probability of a correct classification of a

dsp73

Answer:

P(X=0)=0.000008

P(X=1)=0.00176

P(X=2)=0.057624

P(X=3)=0.941192

Step-by-step explanation:

Probability of correct classification = p = 0.98

Probability of incorrect classification = q = 1 - p = 0.02

The probability of success and failure is the same for all the trials. The trials are independent of each other and the number of trials is fixed i.e. n = 3.

This satisfies all the conditions of a Binomial Experiment. So we can use Binomial experiment to model the probability mass function.

The general formula of a binomial probability is:

$P(X=x)=^{n}C_{x}(p)^{x}q^{n-x}$

Here x denote the number of successes, which can be {0, 1, 2, 3}. So we need to evaluate the above equation for each value of x to determine the probability Mass function of X, as shown below:

$P(X=0)=^{3}C_{0}(0.98)^{0}(0.02)^{3-0}=0.000008\\\\ P(X=1)=^{3}C_{1}(0.98)^{1}(0.02)^{3-1}=0.001176\\\\ P(X=2)=^{3}C_{2}(0.98)^{2}(0.02)^{3-2}=0.057624\\\\ P(X=3)=^{3}C_{3}(0.98)^{3}(0.02)^{3-3}=0.941192$