The mean of 12 numbers is 20 and the mean of another 8 numbers is 25 find the mean of the 20 numbers
1 answer:
Answer:
22
Step-by-step explanation:
mean is calculated as
mean =
Given the mean of 12 numbers is 20 , then
= 20 ( multiply both sides by 12 )
sum = 240
Given the mean of 8 numbers is 25 , then
= 25 ( multiply both sides by 8 )
sum = 200
Total sum of the 20 numbers = 240 + 200 = 440, then mean of 20 numbers is
mean = = 22
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Answer:
∠ EML = 94°
Step-by-step explanation:
See the attached diagram.
The three angles ∠ NME, ∠ EML and ∠ NML together make 360°.
Now, ∠ NME = x + 97, ∠ EML = x + 66 and ∠ NML = 141°
Hence, (x + 97) + ( x + 66) + 141 = 360
⇒ 2x + 304 = 360
⇒ 2x = 56
⇒ x = 28
So, ∠ EML = x + 66 = 28 + 66 = 94° (Answer)
Answer:
is standard equation of hyperbola with vertices at (0, ±9) and foci at (0, ±11).
Step-by-step explanation:
We have given the vertices at (0, ±9) and foci at (0, ±11).
Let (0,±a) = (0,±9) and (0,±c) = (0,±11)
The standard equation of parabola is:
From statement, a = 9
c² = a²+b²
(11)² = (9)²+b²
121-81 = b²
40 = b²
Putting the value of a² and b² in standard equation of parabola, we have
which is the answer.