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mojhsa [17]
3 years ago
11

1.How many more people prefer math to history?

Mathematics
2 answers:
slega [8]3 years ago
8 0

Answer:

1) 9. 2) 11. 3) art and science

This is your answer ☺️☺️☺️

Vanyuwa [196]3 years ago
7 0
8

If I’m wrong then I’m g
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The distribution of weights of potato chip bags filled off a production line is unknown. However, the mean is m=13.35 OZs and th
Nikitich [7]

Answer:

a) \mu_{\bar X} =13.35

e.none of the above

b) \sigma_{\bar X}= \frac{0.12}{\sqrt{36}}= 0.02

a.0.0200

c) z = \frac{13.32-13.35}{\frac{0.12}{\sqrt{36}}}= -1.5

P(\bar X< 13.32)= P(z

a.0.0668

d) z = \frac{13.30-13.35}{\frac{0.12}{\sqrt{36}}}= -2.5

z = \frac{13.36-13.35}{\frac{0.12}{\sqrt{36}}}= 0.5

P(13.30

c.0.6853

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".  

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".

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

X \sim N(13.35,0.12)  

Where \mu=13.35 and \sigma=0.12

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}})

Part a

\mu_{\bar X} =13.35

Part b

\sigma_{\bar X}= \frac{0.12}{\sqrt{36}}= 0.02

Part c

We want this probability:

P(\bar X< 13.32)

For this case we can use the z score formula given by:

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

And using this formula we got:

z = \frac{13.32-13.35}{\frac{0.12}{\sqrt{36}}}= -1.5

P(\bar X< 13.32)= P(z

Part d

We want this probability:

P(13.30

For this case we can use the z score formula given by:

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

And using this formula we got:

z = \frac{13.30-13.35}{\frac{0.12}{\sqrt{36}}}= -2.5

z = \frac{13.36-13.35}{\frac{0.12}{\sqrt{36}}}= 0.5

P(13.30

8 0
3 years ago
Comment all that apply
choli [55]
90°
∠AEF is a right angle
∠CEF is a straight angle
m∠CEF = m∠CEA + m∠BEF
4 0
3 years ago
Luis is a professional musician.He needs to
Deffense [45]

Step-by-step explanation:

The following prices for the same make  and model used guitar for his work are :

$699.20,$700.30,$680.50,$700.30, and  $800.25.

Mean of ungrouped data = sum of observations/total no of observations

\text{Mean}=\dfrac{699.20+700.30+680.50+700.30+800.25}{5}\\\\\text{Mean}=\$716.11

For median, arrange the given data in ascending order.

$680.50, $699.20, $700.30, $700.30, $800.25

Median = middle value

Median = $700.30

The value that comes most often is called mode.

$700.30 comes two times. So, mode is $700.30

Hence, Mean = $716.11, median = $700.30 and mode = $700.30

5 0
3 years ago
2) Shane puts aside $40 per week for his monthly car payment. He earns $320 per week.
ExtremeBDS [4]

Answer:

12.5%

Step-by-step explanation:

320 divided by 40 = 8

100 divided by 8 = 12.5

100% is 320 dollars, which means that 40 dollars is 1/8 of 320. And 1/8 of 100 is 12.5%

8 0
3 years ago
What is the value of x?
vredina [299]

Answer:

<em>x=</em><em>3</em><em>0</em><em>°</em>

hopefully this answer can help you to answer the next question

6 0
3 years ago
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