Answer:
D.
Step-by-step explanation:
Least value = 22 and greatest = 30
Arrange in order:
22 22 23 23 24 25 26 27 28 30
So the median is the mean of the middle 2:
= (24+25)/2 = 24.5.
Also Q1 = 23 and Q3 = 27
So the correct plot is D.
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Explain the formula to use
Using the cosine rule which states that:
![z^2=x^2+y^2-2xy\cos Z](https://tex.z-dn.net/?f=z%5E2%3Dx%5E2%2By%5E2-2xy%5Ccos%20Z)
STEP 2: Write the given sides
![x=4,y=6,Z=41^{\circ},z=?](https://tex.z-dn.net/?f=x%3D4%2Cy%3D6%2CZ%3D41%5E%7B%5Ccirc%7D%2Cz%3D%3F)
STEP 3: Find the value of z
![\begin{gathered} By\text{ substitution,} \\ z^2=4^2+6^2-2(4)(6)\cos41 \\ z^2=16+36-48cos41 \\ z^2=52-36.22605985 \\ z^2=15.77394015 \\ z=\sqrt{15.77394015} \\ z=3.971641997 \\ z\approx4.0 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20By%5Ctext%7B%20substitution%2C%7D%20%5C%5C%20z%5E2%3D4%5E2%2B6%5E2-2%284%29%286%29%5Ccos41%20%5C%5C%20z%5E2%3D16%2B36-48cos41%20%5C%5C%20z%5E2%3D52-36.22605985%20%5C%5C%20z%5E2%3D15.77394015%20%5C%5C%20z%3D%5Csqrt%7B15.77394015%7D%20%5C%5C%20z%3D3.971641997%20%5C%5C%20z%5Capprox4.0%20%5Cend%7Bgathered%7D)
Hence, the indicated length is 4.0
Answer:
6 is the the distance between the points
Answer:
1/18 or 0.05
Step-by-step explanation:
Answer:
Year = 1995 and population = 315
Year = 2015 and population = 715
Step-by-step explanation:
It is given that the population of two different villages is modeled by the given equations:
The population of both villages are same after x years after 1980 if
Splitting the middle term, we get
It means, after 15 or 35 years, the population will same.
For x=15, years is
and population is
For x=35, years is
and population is
.
Therefore, population are equation in Year = 1995 and population = 315 or Year = 2015 and population = 715.