Check the picture. There are 2 interior common tangents, and 2 exterior common tangents which can be drawn.
Answer: 4
n(A) = 26
Solution:
Let us first define the cardinal number of the set.
Cardinal number of the set:
The number of distinct elements in a finite set is called its cardinal number. It is denoted as n(A).
Given set: A = {a, b, c, .... z}
We know that, there are 26 elements in the alphabet "a to z".
Number of elements in the set A = 26
Hence n(A) = 26.
Answer:
78.88%
Step-by-step explanation:
We have been given that
![\mu=25,\sigma=4,x_1=20,x_2=30](https://tex.z-dn.net/?f=%5Cmu%3D25%2C%5Csigma%3D4%2Cx_1%3D20%2Cx_2%3D30)
The z-score formula is given by
![z-\text{score}=\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z-%5Ctext%7Bscore%7D%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
For ![x_1=20](https://tex.z-dn.net/?f=x_1%3D20)
![z_1=\frac{20-25}{4}\\\\z_1=-1.25](https://tex.z-dn.net/?f=z_1%3D%5Cfrac%7B20-25%7D%7B4%7D%5C%5C%5C%5Cz_1%3D-1.25)
For ![x_2=30](https://tex.z-dn.net/?f=x_2%3D30)
![z_2=\frac{30-25}{4}\\\\z_2=1.25](https://tex.z-dn.net/?f=z_2%3D%5Cfrac%7B30-25%7D%7B4%7D%5C%5C%5C%5Cz_2%3D1.25)
Now, we find the corresponding probability from the standard z score table.
For the z score -1.25, we have the probability 0.1056
For the z score 1.25, we have the probability 0.8944
Therefore, the percent of the trees that are between 20 and 30 years old is given by
0.8944 - 0.1056
= 0.7888
=78.88%
Using the linear regression equation, the concentration of the unknown solution is 0.2161 M.
Linear regression describes the relationship of two variables. It may not be exact but it is the line that best fit the data. The equation for a linear regression is in the form y = bx + a, where x and y are the two variables.
If the absorbance of an unknown was determined to be 0.67 absorbance units, using the linear regression equation provided from the plot, substitute the value of absorbance to the variable y and solve for the value of x or the concentration.
y = 3.8674x - 0.1657
0.67 = 3.8674x - 0.1657
3.8674x = 0.67 + 0.1657
3.8674x = 0.8357
x = 0.2161
Hence, the concentration is 0.2161 M.
Learn more about linear regression here: brainly.com/question/25311696
#SPJ4
Answer:
The lateral area is 392.5 sq. inches.
Step-by-step explanation:
The pipe is in a shape of a cylinder. The lateral area formula for a cylinder is:
Lateral Area = ![2\pi r h](https://tex.z-dn.net/?f=2%5Cpi%20r%20h)
Where
r is the radius (half of diameter)
h is the height
Given, diameter = 5
so,
radius = 5/2 = 2.5
Also,
height = 25 inches (same as length, here)
Now we use 3.14 for
and substitute the values to get the lateral area:
Lateral Area = ![2\pi r h = 2(3.14)(2.5)(25)=392.5](https://tex.z-dn.net/?f=2%5Cpi%20r%20h%20%3D%202%283.14%29%282.5%29%2825%29%3D392.5)
The lateral area is 392.5 sq. inches.