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Mathematics

2 answers:

hodyreva [135]2 years ago

6 0

Answer:

factor:

x^2+2x+2x+4

x(x+2)+2(x+2)

(x+2)(x+2)

100x^2+20x+1

100x^2+10x+(10x+1)

10(10x+1)+(10x+1)

(10x+1)(10x+1)=(x+2)(x+2)

Hope this helps you

melomori [17]2 years ago

4 0

Answer:

1/9, (-3)/11

Step-by-step explanation:

Both the left and right side are perfect squares,

(x + 2)^2 = (10x + 1)^2

In order for the squares to be equal, we must have the inner expressions equal to each other or negations of each other:

(x + 2) = $\pm$ (10x + 1)

x + 2 = -10x - 1

Simplifying the first equation gives 9x = 1 so 1/9 and simplifying the second equation gives 11x = -3, so (-3)/11

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The time taken to assemble a laptop computer in a certain plant is a random variable having a normal distribution of 20 hours an

ludmilkaskok [199]

Answer:

a) 40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.

b) 34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.

Step-by-step explanation:

When the distribution is normal, we use 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.

In this question:

$\mu = 20, \sigma = 2$