Answer: 9 Presents
Explanation: 15/3 = 45/x.
Cross Multiply: 15x= (45)(3)
Simplify: x= 9
f(x)=lnx
y=f(x)
dy/dx= 1/x
tangent at (x,y) has slope 1/x
eqn of tangent is y = mx + c
since the tangent passes through origin, c=0
substitute y = lnx and m= 1/x to above eqn
lnx = 1
x=e
y=lne=1
So, there will be 40 green cars. if we want the ratio to be 1:3, we will need there to b three times as many silver cars as green cars: 40*3=120.
we already have 20 silver, so we need to add 120-20, that is 100 silver cars!
The percentage of the snakes is longer than 16.6 in. with a mean of 15 in. and a standard deviation of 0.8 in. is 2.275%.
<h3>What is a normal distribution?</h3>
It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.
The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.
The lengths of a particular snake are approximately normally distributed with a given mean = 15 in. and standard deviation = 0.8 in.
Then the percentage of the snakes is longer than 16.6 in. will be
![z = \dfrac{ x - \mu }{ \sigma }\\\\z = \dfrac{16.6-15}{0.8}\\\\z = 2](https://tex.z-dn.net/?f=z%20%3D%20%5Cdfrac%7B%20x%20-%20%5Cmu%20%7D%7B%20%5Csigma%20%7D%5C%5C%5C%5Cz%20%3D%20%5Cdfrac%7B16.6-15%7D%7B0.8%7D%5C%5C%5C%5Cz%20%3D%202)
Then we have
![\rm P(x > 16.6) = P(z > 2) = 0.02275 \ or \ 2.275 \%](https://tex.z-dn.net/?f=%5Crm%20P%28x%20%3E%2016.6%29%20%3D%20P%28z%20%3E%202%29%20%3D%200.02275%20%20%5C%20or%20%20%5C%202.275%20%5C%25)
More about the normal distribution link is given below.
brainly.com/question/12421652