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Andrew [12]
3 years ago
9

What is the radius of the cone

Mathematics
2 answers:
Helga [31]3 years ago
4 0

Answer:b)5

Step-by-step explanation:

Dmitry_Shevchenko [17]3 years ago
4 0

Answer:3m

Step-by-step explanation:

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The summer monsoon brings 80% of India's rainfall and is essential for the country's agriculture.
Natasha_Volkova [10]

Answer:

Step 1. Between 688 and 1016mm. Step 2. Less than 688mm.

Step-by-step explanation:

The <em>68-95-99.7 rule </em>roughly states that in a <em>normal distribution</em> 68%, 95% and 99.7% of the values lie within one, two and three standard deviation(s) around the mean. The z-scores <em>represent values from the mean</em> in a <em>standard normal distribution</em>, and they are transformed values from which we can obtain any probability for any normal distribution. This transformation is as follows:

\\ z = \frac{x - \mu}{\sigma} (1)

\\ \mu\;is\;the\;population\;mean

\\ \sigma\;is\;the\;population\;standard\;deviation

And <em>x</em> is any value which can be transformed to a z-value.

Then, z = 1 and z = -1 represent values for <em>one standard deviation</em> above and below the mean, respectively; values of z = 2 and z =-2, represent values for two standard deviations above and below the mean, respectively and so on.

Because of the 68-95-99.7 rule, we know that approximately 95% of the values for a normal distribution lie between z = -2 and z = 2, that is, two standard deviations below and above the mean as remarked before.

<h3>Step 1: Between what values do the monsoon rains fall in 95% of all years?</h3>

Having all this information above and using equation (1):

\\ z = \frac{x - \mu}{\sigma}  

For z = -2:

\\ -2 = \frac{x - 852}{82}

\\ -2*82 + 852 = x

\\ x_{below} = 688mm

For z = 2:

\\ 2 = \frac{x - 852}{82}

\\ 2*82 = x - 852

\\ 2*82 + 852 = x

\\ x_{above} = 1016mm

Thus, the values for the monsoon rains fall between 688mm and 1016mm for approximately 95% of all years.

<h3>Step 2: How small are the monsoon rains in the driest 2.5% of all years?</h3>

The <em>driest of all years</em> means those with small monsoon rains compare to those with high values for precipitations. The smallest values are below the mean and at the left part of the normal distribution.

As you can see, in the previous question we found that about 95% of the values are between 688mm and 1016mm. The rest of the values represent 5% of the total area of the normal distribution. But, since the normal distribution is <em>symmetrical</em>, one half of the 5% (2.5%) of the remaining values are below the mean, and the other half of the 5% (2.5%) of the remaining values are above the mean. Those represent the smallest 2.5% and the greatest 2.5% values for the normally distributed data corresponding to the monsoon rains.

As a consequence, the value <em>x </em>for the smallest 2.5% of the data is precisely the same at z = -2 (a distance of two standard deviations from the mean), since the symmetry of the normal distribution permits that from the remaining 5%, half of them lie below the mean and the other half above the mean (as we explained in the previous paragraph). We already know that this value is <em>x</em> = 688mm and the smallest monsoons rains of all year are <em>less than this value of x = </em><em>688mm</em>, representing the smallest 2.5% of values of the normally distributed data.

The graph below shows these values. The shaded area are 95% of the values, and below 688mm lie the 2.5% of the smallest values.

3 0
3 years ago
The results of a test of a metal are shown in the table, with strain in meters per meter, andstress in units called megapascals,
shusha [124]

a.

b.

The metal obey this law for values of strain until 0.05, where we have a linear relationship (each increase of 0.01 in the strain causes an increase of 100 in the stress). After this point, we don't have a linear relationship anymore.

c. Since an increase of 0.01 in the strain causes an increase of 100 in the stress, the slope is:

m=\frac{100}{0.01}=10000

Now, calculating the coefficient b (y-intercept), we have:

\begin{gathered} (0.01,100)\colon \\ 100=0.01\cdot10000+b \\ 100=100+b \\ b=0 \end{gathered}

So the equation is:

y=10000x

d.

The maximum value of stress is 560, and occurs at strain = 0.07.

8 0
10 months ago
What is the decimal at the bottom of an element on the periodic table​?
attashe74 [19]

Answer:

The atomic mass

Step-by-step explanation:

The decimal at the bottom of an element represents how much one atom of that element weighs.

5 0
3 years ago
Read 2 more answers
What is the greatest possible error when measuring to the nearest quarter of an inch?
artcher [175]

The greatest possible error when measuring to the nearest quarter of an inch is how the reader reads the measurement. Sometimes, we base our answers to what we can see and what we see may be different from others.

4 0
3 years ago
Can someone check if it’s correct plz
cluponka [151]

Answer:

It's correct!

Step-by-step explanation:

7 0
2 years ago
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