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Jet001 [13]
3 years ago
14

The factorization of a trinomial is modeled with algebra tiles. Which trinomial is factored? x2 + 3x – 6 x2 + 5x – 6 x2 + 3x – 2

x2 + x – 6
Mathematics
1 answer:
Alisiya [41]3 years ago
8 0

Answer

The answer is x^2 + 5x - 6

Step by step explanation

You are given four trinomials, we have to find which trinomial is factorable.

x^2 + 3x - 6 cannot be factored.

x^2 + 5x -6 can be factored.

= (x + 6)(x -1)

The factors are (x-1) and (x - 6)

Other twos are cannot be factored.

The answer is x^2 + 5x - 6

Thank you.

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Step-by-step explanation:

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A practice law exam has 100 questions, each with 5 possible choices. A student took the exam and received 13 out of 100.If the s
Cloud [144]

Answer:

z=\frac{13-20}{4}=-1.75

Assuming:

H0: \mu \geq 20

H1: \mu

p_v = P(Z

Step-by-step explanation:

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".

Let X the random variable of interest (number of correct answers in the test), on this case we now that:

X \sim Binom(n=100, 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!}

We need to check the conditions in order to use the normal approximation.

np=100*0.2=20 \geq 10

n(1-p)=20*(1-0.2)=16 \geq 10

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

E(X)=np=100*0.2=20

\sigma=\sqrt{np(1-p)}=\sqrt{100*0.2(1-0.2)}=4

So we can approximate the random variable X like this:

X\sim N(\mu =20, \sigma=4)

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  The letter \phi(b) is used to denote the cumulative area for a b quantile on the normal standard distribution, or in other words: \phi(b)=P(z

The z score is given by this formula:

z=\frac{x-\mu}{\sigma}

If we replace we got:

z=\frac{13-20}{4}=-1.75

Let's assume that we conduct the following test:

H0: \mu \geq 20

H1: \mu

We want to check is the score for the student is significantly less than the expected value using random guessing.

So on this case since we have the statistic we can calculate the p value on this way:

p_v = P(Z

5 0
3 years ago
? Liter equivalent to 0,000 000 000 013 cubic kilometers
Amiraneli [1.4K]

<em><u>Question:</u></em>

? Liter equivalent to 0.000 000 000 013 cubic kilometers

How do we do it?´

<em><u>Answer:</u></em>

13 liter is equivalent to 0.000 000 000 013 cubic kilometers

<em><u>Solution:</u></em>

Given that,

? Liter equivalent to 0.000 000 000 013 cubic kilometers

So we have to convert cubic kilometer to liter

<em><u>Use the following conversion factor</u></em>

1\ km^3 = 1000000000000\ liter

Therefore,

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Answer:

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Step-by-step explanation:

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6 0
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