Answer:
.
Step-by-step explanation:
If (α, β) are the coordinates of the center of the hyperbola, then its equation of the hyperbola is 
.
Now, the vertices of the hyperbola are given by (α ± a, β) ≡ (1,-3) and (-3,-3)
Hence, β = - 3 and α + a = 1 and α - a = -3
Now, solving those two equations of α and a we get,
2α = - 2, ⇒ α = -1 and
a = 1 - α = 2.
Now, eccentricity of the hyperbola is given by ![b^{2} = a^{2}(e^{2} - 1) = 4[(\frac{5}{2} )^{2} -1] = 21](https://tex.z-dn.net/?f=b%5E%7B2%7D%20%3D%20a%5E%7B2%7D%28e%5E%7B2%7D%20%20-%201%29%20%3D%204%5B%28%5Cfrac%7B5%7D%7B2%7D%20%29%5E%7B2%7D%20-1%5D%20%3D%2021)
{Since 
given}
Therefore, the equation of the given hyperbola will be
. (Answer)
Answer: Third red dot after 30 on the number line represents the approximate volume of a cone.
Step-by-step explanation:
Since we have have given that
Radius of cone = 3 units
Height of cone = 4 units
So, Volume of cone is given by
Hence, Third red dot after 30 on the number line represents the approximate volume of a cone.
Convert the larger unit into the smaller unit, and then solve.
Answer:
The statement that is true about dot plot is:
A dot plot shows the frequency of the individual values of any given data set
Step-by-step explanation:
A dot plot also known as a dot chart or a strip plot is just a display of the data depending upon the frequency of the values.
The dot plot is somewhat like the histogram but the difference is:
A histogram shows the frequency of an interval of values of any given data set.
for example:
we may make a histogram for the weight of students of a class.
since we may divide the weight of the students into some interval.
whereas the dot plot gives the frequency of the individual data points or discrete data points.
for example:
we may plot a dot plot for rolling a number cube 20 times.
Hence, the correct statement is:
A dot plot shows the frequency of the individual values or of any given data set.
D............a raisin is about 1 cm long
