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antiseptic1488 [7]
3 years ago
7

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]
The perimeter is 28 and the area is 24
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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

3² + b² = 13

9 + b² = 13

Subtract 9 from each side:

9 + b² - 9 = 13 - 9

b² = 4

Take the square root of each side:

√b² = √4

b = 2

5 0
3 years ago
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

40th percentile

Value of X when Z has a pvalue of 0.4. So X when Z = -0.253.

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

-0.253 = \frac{X - 190}{30}

X - 190 = -0.253*30

X = 182.41

So the answer is 182.41.

5 0
3 years ago
Diego thinks that x = 3 is a solution to the equation x2 = 16. Do you agree? Explain or show your reasoning.
dlinn [17]

Answer:

No

Step-by-step explanation:

f(x) = x²

f(3) = 3²

     = 3 × 3

     =  9    Not 16

also

√16 = 4

8 0
3 years ago
Carlos and Maria drove a total of 191 miles miles in 3.8 hours. Carlos drove the first part of the trip and average 49 miles per
ICE Princess25 [194]
Maria drove for 1.6 miles.
7 0
3 years ago
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