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Over [174]
2 years ago
8

Write an equation of the ellipse with foci at (0,+12) and vertices at (0,+13)

Mathematics
2 answers:
Korolek [52]2 years ago
7 0

Quadratic relations and comic sections unit test part 1

10. b. x^2/25 + y^2/169 =1

nekit [7.7K]2 years ago
6 0
 To solve this problem you must apply the proccedure shown below:
 1. You have that the ellipse given as a vertical major axis (a=13), therefore, taking the ellipse with its center at the origin, you have the following equation:
 (y^2/a^2)+(x^2/b^2)=1
 2. You have the distance from the center of the ellipse to the focus:
 c=12, therefore, you can calculate the value of b, the minor radius:
 c^2=a^2-b^2
 b=√(13^3-12^2)
 b=5
 3. Therefore, the equation is:
 a^2=169
 b^2=25
 (y^2/169)+(x^2/25)=1
 The answer is: (y^2/169)+(x^2/25)=1 
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Find the probability of selecting none of the correct six integers in a lottery, where the order in which these integers are sel
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Complete Questions:

Find the probability of selecting none of the correct six integers in a lottery, where the order in which these integers are selected does not matter, from the positive integers not exceeding the given integers.

a. 40

b. 48

c. 56

d. 64

Answer:

a. 0.35

b. 0.43

c. 0.49

d. 0.54

Step-by-step explanation:

(a)

The objective is to find the probability of selecting none of the correct six integers from the positive integers not exceeding 40.  

Let s be the sample space of all integer not exceeding 40.

The total number of ways to select 6 numbers from 40 is |S| = C(40,6).

Let E be the event of selecting none of the correct six integers.

The total number of ways to select the 6 incorrect numbers from 34 numbers is:

|E| = C(34,6)

Thus, the probability of selecting none of the correct six integers, when the order in which they are selected does rot matter is  

P(E) = \frac{|E|}{|S|}

         = \frac{C(34, 6)}{C(40, 6)}\\\\= \frac{1344904}{3838380}\\\\=0.35

Therefore, the probability is 0.35

Check the attached files for additionals  

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Step-by-step explanation:

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