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IRISSAK [1]
3 years ago
13

Find the mean of the data set \{4.5, 5, 3.5, 2, 2.5\}{4.5,5,3.5,2,2.5}left brace, 4, point, 5, comma, 5, comma, 3, point, 5, com

ma, 2, comma, 2, point, 5, right brace
Mathematics
1 answer:
loris [4]3 years ago
3 0

Answer:

The mean of the given data set is 5.5

Step-by-step explanation:

We are given the following data in the question:

4.5,5,3.5,2,2.5

Formula:

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Putting values, we get,

Mean =\displaystyle\frac{17.5}{5} = 3.5

Thus, the mean of the given data set is 5.5

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The distribution of head circumference for full term newborn female infants is approximately normal with a mean of 33.8 cm and a
enyata [817]

Using the normal distribution, it is found that 95.65% of full term newborn female infants with a head circumference between 31 cm and 36 cm.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

\mu = 33.8, \sigma = 1.2

The proportion of full term newborn female infants with a head circumference between 31 cm and 36 cm is the <u>p-value of Z when X = 36 subtracted by the p-value of Z when X = 31</u>, hence:

X = 36:

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

Z = \frac{36 - 33.8}{1.2}

Z = 1.83

Z = 1.83 has a p-value of 0.9664.

X = 31:

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

Z = \frac{31 - 33.8}{1.2}

Z = -2.33

Z = -2.33 has a p-value of 0.0099.

0.9664 - 0.0099 = 0.9565.

0.9565 = 95.65% of full term newborn female infants with a head circumference between 31 cm and 36 cm.

More can be learned about the normal distribution at brainly.com/question/24537145

#SPJ1

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Question 9 (1 point)
sveta [45]
The answer is D it 420
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3 years ago
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The length of a rectangle is 4 units greater than its width w. Write an expression for the length of the rectangle.
Shkiper50 [21]
If the length is four units greater than w, then it is equal to w+4.
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A 1 inch thick stack of printer paper is found to contain 175 sheets to the nearest thousandth of an inch how thick is each shee
MariettaO [177]

the answer you're looking for, rounded to the nearest thousandth, is 0.006 and we get that answer because we must round 0.0057 to the nearest thousandth, meaning that we must look at the seven, and realize that the seven tells us that the 5 is supposed to be a 6 because we are rounding to the nearest thousandth. So the answer is 0.006 I hope that this helps!

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Simplify the expression (-x)^5(4x)^2?<br>A)-16x^7<br>B)-16x^10<br>C)-8x^7<br>D)16x^10
zhenek [66]
The answer is c. i hope that helpped
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