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Ganezh [65]
3 years ago
7

What is the appropriate metric unit for measuring the capacity of a water cooler?

Mathematics
2 answers:
Montano1993 [528]3 years ago
8 0
Liters is the best way
vodomira [7]3 years ago
7 0
The best way to measure a volume of this size in Liters. This is a metric unit. There are 1000 liters in one cubic meter.
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To decrease the impact on the environment, factory chimneys must be high enough to allow pollutants to dissipate over a larger a
Komok [63]

Answer:

The probability hat the sample mean height for the 40 chimneys is greater than 102 meters is 0.1469.

Step-by-step explanation:

Let the random variable <em>X</em> be defined as the height of chimneys in factories.

The mean height is, <em>μ</em> = 100 meters.

The standard deviation of heights is, <em>σ</em> = 12 meters.

It is provided that a random sample of <em>n</em> = 40 chimney heights is obtained.

According to the Central Limit Theorem if we have an unknown population with mean <em>μ</em> and standard deviation <em>σ</em> and appropriately huge random samples (<em>n</em> > 30) are selected from the population with replacement, then the distribution of the sample means will be approximately normally distributed.

Then, the mean of the distribution of sample means is given by,

\mu_{\bar x}=\mu

And the standard deviation of the distribution of sample means is given by,

\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}

Since the sample selected is quite large, i.e. <em>n</em> = 40 > 30, the central limit theorem can be used to approximate the sampling distribution of sample mean heights of chimneys.

\bar X\sim N(\mu_{\bar x},\ \sigma^{2}_{\bar x})

Compute the probability hat the sample mean height for the 40 chimneys is greater than 102 meters as follows:

P(\bar X>102)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}})>\frac{102-100}{12/\sqrt{40}})

                    =P(Z>1.05)\\=1-P(Z

*Use a <em>z</em>-table fr the probability.

Thus, the probability hat the sample mean height for the 40 chimneys is greater than 102 meters is 0.1469.

8 0
3 years ago
9m-19=3M+1. M=10/3 can you tell me the answer
lana [24]
Plug in 10/3

9(10/3)-19= 3(10/3)+1

30-19= 10+1

11=11

That is the solution.

I hope this helps!
~kaikers
7 0
3 years ago
Can anyone please solve this​
jonny [76]
Which one do you need?
5 0
2 years ago
Someone please help, i honestly don’t get how to find the angles
jeyben [28]
A.) the degrees inside the triangles are 50, 70, and 60. you know because 180-120=60
b.) you know that they are similar triangles because they have the same angle degrees.

im not sure if this is correct but i think it is :)

8 0
3 years ago
F(x) = 100 - 4x what is the value of f f(-5)
scoundrel [369]

Answer:

80

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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