Find two consecutive whole numbers that the square root of 105 lies between

Mathematics

1 answer:

erastovalidia [21]3 years ago

4 0

Answer: 10 and 11, also -11 and -10

Sqrt 100 is well known to be 10

Sqrt 121 is 11

Step-by-step explanation:

Positive Sqrt is monotone increasing

So Sqrt 105 is between sqrt 100 and sqrt 121

Second answer

Sqrt 100 is less well known to also be -10

Negative sqrt is monotone decreasing

Sqrt 121 is also -11

Sqrt 105 is also between -121 and -100

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Svetradugi [14.3K]

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3 years ago

If the complex number x = 3 + bi and |x| 2 = 13, which is a possible value of b?

tatyana61 [14]

Answer:

A.2

Step-by-step explanation:

We know that |x|² = 13 and x = 3+bi:

(3+bi)² = 13

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Subtract 9 from each side:

9 + b² - 9 = 13 - 9

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Assume that the distribution of weights of adult men in the United States is normal with mean 190 pounds and standard deviation

avanturin [10]

Answer:

182.41

Step-by-step explanation:

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.

In this problem, we have that:

$\mu = 190, \sigma = 30$