Wrong person I pay someone to do my math for me :)
Answer: 99.51%
Step-by-step explanation:
Given : A survey found that women's heights are normally distributed.
Population mean : ![\mu =63.2 \text{ inches}](https://tex.z-dn.net/?f=%5Cmu%20%3D63.2%20%20%5Ctext%7B%20inches%7D)
Standard deviation: ![\sigma= 2.4\text{ inches}](https://tex.z-dn.net/?f=%5Csigma%3D%202.4%5Ctext%7B%20inches%7D)
Minimum height = 4ft. 9 in.=![4\times12+9\text{ in.}=57\text{ in.}](https://tex.z-dn.net/?f=4%5Ctimes12%2B9%5Ctext%7B%20in.%7D%3D57%5Ctext%7B%20in.%7D)
Maximum height = 6ft. 2 in.=![6\times12+2\text{ in.}=74\text{ in.}](https://tex.z-dn.net/?f=6%5Ctimes12%2B2%5Ctext%7B%20in.%7D%3D74%5Ctext%7B%20in.%7D)
Let x be the random variable that represent the women's height.
z-score : ![z=\dfrac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
For x=57, we have
![z=\dfrac{57-63.2}{2.4}\approx-2.58](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B57-63.2%7D%7B2.4%7D%5Capprox-2.58)
For x=74, we have
![z=\dfrac{74-63.2}{2.4}\approx4.5](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B74-63.2%7D%7B2.4%7D%5Capprox4.5)
Now, by using the standard normal distribution table, we have
The probability of women meeting the height requirement :-
![P(-2.58](https://tex.z-dn.net/?f=P%28-2.58%3Cz%3C4.5%29%3DP%28z%3C4.5%29-P%28z%3C-2.58%29%5C%5C%5C%5C%3D%200.9999966-%200.00494%3D0.9950566%5Capprox0.9951%3D99.51%5C%25)
Hence, the percentage of women meeting the height requirement = 99.51%
Answer:
190 is 76% of 250
Step-by-step explanation:
We have, 76% × x = 190
Multiplying both sides by 100 and dividing both sides by 76,
we have x = 190 × 100/76
x = 250
If you are using a calculator, simply enter 190×100÷76, which will give you the answer.
The percent increase of the second year was 85.71%
Step-by-step explanation:
The exponential growth formula is y=a(1+r)^x
where;
y=population after x years
a=original population
r=growth rate as a decimal
x=number of time interval that have passed
Let starting population be p
The first year increase in the population was 40% this means;
r=0.4 , x=1 and a=p thus the equation will be
y=p(1+0.4)^1 ⇒⇒y=1.4 p
In the second year the population of birds of an island became 7 times more than before which is 7p
7p= 7*1.4p= 9.8p
Increase will be;
9.8p-1.4p=8.4
% increase will be;
8.4/9.8 *100 =85.71%
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Percent increase: brainly.com/question/13882170
Keywords : population, birds, island,increase
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