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rjkz [21]
3 years ago
6

Which unit should be used when measuring the height of a tall brush

Mathematics
1 answer:
Licemer1 [7]3 years ago
6 0

Answer:

The unit of measurement that should be used is inches

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The mean annual income for people in a certain city is 37 thousand dollars, with a standard deviation of 28 thousand dollars. A
Aloiza [94]

Answer:

P( 31 < \bar X< 41)

And we can ue the z score formula given by:

z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And using this formula we got for the limits:

z = \frac{31-37}{\frac{28}{\sqrt{50}}}= -1.515

z = \frac{41-37}{\frac{28}{\sqrt{50}}}= 1.01

So we want to find this probability:

P(-1.515

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the annual income of a population, and for this case we know the following info:

\mu=37 and \sigma=28  and we are omitting the zeros from the thousand to simplify calculations

We select a sample size of n=50>30.

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And we want to find this probability:

P( 31 < \bar X< 41)

And we can ue the z score formula given by:

z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And using this formula we got for the limits:

z = \frac{31-37}{\frac{28}{\sqrt{50}}}= -1.515

z = \frac{41-37}{\frac{28}{\sqrt{50}}}= 1.01

So we want to find this probability:

P(-1.515

4 0
3 years ago
2-1 whats the answer
Marysya12 [62]

Answer:

<h2>2-1=1</h2><h3><em>hope it helps you have a great day keep smiling be happy stay safe</em></h3><h2 />
8 0
3 years ago
Read 2 more answers
Write 3 equivalent forms of 0.472 using decimals and fractions?
Vinvika [58]
59/125, 472/1000, 236/500
3 0
3 years ago
Read 2 more answers
Find the sum of the prime numbers that are between 12 and 42.
Zielflug [23.3K]

Answer:

<h2>210</h2>

Step-by-step explanation:

list of prime #s between 12 and 42:

13, 17, 19, 23, 29, 31, 37, 41

now add them up:

13+17+<em>19</em>+<u>23</u>+<em>29+31</em>+<u>37</u>+<em>41</em>

30+60+60+60

90+120

210

3 0
3 years ago
Read 2 more answers
What is the square root of -1
patriot [66]

Answer:

i

Step-by-step explanation:

This is the answer you get when you square and you get a negative number.

6 0
3 years ago
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