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Vinil7 [7]
3 years ago
8

Between each whole number does √199

Mathematics
1 answer:
Gala2k [10]3 years ago
7 0

between 14 and 15

because

14^2 = 196

15^2 = 225


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Write two numbers that multiply to the value on top and add to the<br> value on bottom.
Airida [17]
I think the answer is 2 and -15. Because 2 times - 15 is -30 and 2 and -15 can be added to -1.
4 0
3 years ago
A typical adult has an average IQ score of 105 with a standard deviation of 20. If 20 randomly selected adults are given an IQ t
Fiesta28 [93]

Answer:

100% probability that the sample mean scores will be between 87 and 124 points

Step-by-step explanation:

To solve this question, we have 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 random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation, which is also called standard error s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 105, \sigma = 20, n = 20, s = \frac{20}{\sqrt{20}} = 4.47

What is the probability that the sample mean scores will be between 87 and 124 points

This is the pvalue of Z when X = 124 subtracted by the pvalue of Z when X = 87. So

X = 124

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

By the Central Limit Theorem

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

Z = \frac{124 - 105}{4.47}

Z = 4.25

Z = 4.25 has a pvalue of 1

X = 87

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

Z = \frac{87 - 105}{4.47}

Z = -4.25

Z = -4.25 has a pvalue of 0

1 - 0 = 1

100% probability that the sample mean scores will be between 87 and 124 points

3 0
4 years ago
8x + 1 = -8 - X<br> What is X?
Alexxx [7]

Answer:

<u><em>X = -1</em></u>

<u><em>Step-by-step explanation:</em></u>

  • <u><em>Add x to both sides.</em></u>
  • <u><em>8x + 1 + x = -8</em></u>
  • <u><em>Combine 8x and x to get 9x.</em></u>
  • <u><em>9x + 1 = -8</em></u>
  • <u><em>Subtract 1 from both sides</em></u>
  • <u><em>9x = -9</em></u>
  • <u><em>Divide both sides by 9 </em></u>
  • <u><em>x = -9/9</em></u>
  • <u><em>x = -1</em></u>

5 0
3 years ago
Read 2 more answers
Simplify the expression to a + bi form:<br> (12-6i)-(7+8i)<br> (12−6i)−(7+8i)
Karo-lina-s [1.5K]

Answer:

5-14i

Step-by-step explanation:

(12-6i)-(7+8i)\\\\12-6i-7-8i\\\\5-14i

8 0
3 years ago
William Britton types 64 words per minute on his computer. How many words can he type in 90 seconds?
finlep [7]
Hello!
The answer is 96 words.
He can type 32 words every 30 seconds, 64 words for 60 seconds or 1 minute and 96 words for 90 seconds.
:)
4 0
3 years ago
Read 2 more answers
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