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Morgarella [4.7K]
3 years ago
6

The percent equivalent of 1.01 is _______ and the fraction equivalent is ______ %

Mathematics
1 answer:
kipiarov [429]3 years ago
8 0
The percent is: 101%
Fraction: 11/100
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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
Answer this please. Thank you! Worth 10 points as well.
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Which quadrilaterals are considered parallelogram
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Answer: Rectangle, Rhombus, Square

Step-by-step explanation:

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vlabodo [156]

Answer:

Sorry I don´t know the answer but I tried

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The figure shows a triangle with an angle bisector. If angle SUT= 34°, find the measurement of angle 1?
Burka [1]

The ANGLE BISECTOR mentioned in the problem is simply just a line that separates an angle in half.

Meaning if it bisects ∠SUT which is 34. It just means that it divides the angle 34 into 2 equal parts.

Therefore ∠1 is just one-half of the ∠SUT.

\begin{gathered} m\angle1=\frac{\angle SUT}{2} \\ m\angle1=\frac{34}{2} \\ m\angle1=17 \end{gathered}

Therefore the measurement of ∠1 is 17°.

8 0
1 year ago
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