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3 years ago

Factor the binomial or identify it as prime.

Mathematics

2 answers:

Makovka662 [10]3 years ago

7 0

The answer to this problem is A
:)

In-s [12.5K]3 years ago

5 0

Answer:

The correct answer is B,

Step-by-step explanation:

Since the higher value of z's power, is 4, an even number, and the second number is negative, we can think that this binomial is made of a difference of squares, so that is what we are going to factorize.

First, extract the common number (if any), the number 2, we have now>

$2*(z^{4}-1)$

This is convenient since "1" is a wonderful number that has this feature> $1^{n}= 1$ No matters what n's value is,

so the first equation $2*(z^{4}-1)$ can be written as $(2*(z^{4}-1)=2*((z^{2})^{2}-1^{2})=2*(z^{2}-1)*(z^{2}+1)$

The later termn, can also be factorized, using the same as befre.

$(z^{2}-1)=(z-1)*(z+1)$

Remember that $z^{4}=(z^{2})^{2}$

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can someone help me to solve this queestion on Conditional Probability. In Evs and Life Science class, 25% of the students are b

Aleks04 [339]

Step-by-step explanation:

If a boy student was picked, the probability that they passed is 0.25 * 0.4 = 0.1.

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Total probability = (0.1 + 0.1875) * 100% = 28.75%.

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3 years ago

Laney bought some candy from the bulk food store. She bought a 290 gram bag of gummy worms, a 450 gram bag of sour keys, and 670

Alborosie

Answer:

Step-by-step explanation:

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3 years ago

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The rectangular prism is to be sliced perpendicular to the shaded face is to pass through point A,perpendicular to the front fac

Alex_Xolod [135]

Answer:

<h2>C: 3 inches by 6 inches</h2>

Step-by-step explanation:

Notice that point A is a mid point. If we cut the prism though that point, perpendicular to the shaded face, it means the side of 4 inches will be divide in two equal parts, and the 3-6 inches face won't be cut.

Therefore, the dimensions of the cross section is 3 inches by 6 inches, which are the dimensions of the face that won't be cut, because they don't intersect with point A.

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3 years ago

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The scores on the GMAT entrance exam at an MBA program in the Central Valley of California are normally distributed with a mean

Kaylis [27]

Answer:

58.32% probability that a randomly selected application will report a GMAT score of less than 600

93.51% probability that a sample of 50 randomly selected applications will report an average GMAT score of less than 600

98.38% probability that a sample of 100 randomly selected applications will report an average GMAT score of less than 600

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .