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wolverine [178]
3 years ago
15

The binomial expansion of (x2 + y)2 is _____

Mathematics
1 answer:
vodka [1.7K]3 years ago
3 0

Answer:

There are some unknown characters in the answer list, so am not certain which letter. However, the expansion of (x^2 + y)^2 is:

x^4 + 2yx^2 + y^2.

Note: Am using the carrot - shift 6 - ^ to denote "to the power of".

Step-by-step explanation:

(x^2 + y)^2 = (x^2 + y) * (x^2 + y)

                  = (x^2 * x^2) + (y*x^2) + (y*x^2) + (y * y)

                  = x^4 + 2yx^2 + y^2

In words the answer is: x to the 4th plus 2 yx squared plus y squared.

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Step-by-step explanation:

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2 years ago
Use the cumulative normal distribution table to find the z-scores thqt bound the middle of 68% of theje area under the stanrard
padilas [110]

Answer:

Z scores between -0.995 and 0.995 bound the middle 68% of the area under the stanrard normal curve

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Middle 68%

Between the 50 - (68/2) = 16th percentile and the 50 + (68/2) = 84th percentile.

16th percentile:

X when Z has a pvalue of 0.16. So X when Z = -0.995

84th percentile:

X when Z has a pvalue of 0.84. So X when Z = 0.995.

Z scores between -0.995 and 0.995 bound the middle 68% of the area under the stanrard normal curve

7 0
3 years ago
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Read 2 more answers
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