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Travka [436]
3 years ago
10

HELP PLEASE write an equation of the ellipse with foci at (0 ±10) and vertices at (0 ±11)

Mathematics
1 answer:
Yuliya22 [10]3 years ago
5 0

Answer:

x²/121 + y²/21 = 1

Step-by-step explanation:

x²/a² + y²/b² = 1

a = 11

c² = a² - b²

b² = a² - c²

b² = 11² - 10²

b² = 21

x²/11² + y²/21 = 1

x²/121 + y²/21 = 1

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Point H is between points L and S. LS = 14x -21 LH = 15 HS = 8x What is the length of segment LS?Immersive Reader (5 Points)
Fofino [41]

Answer:

LS = 63

Step-by-step explanation:

Given

LS = 14x - 21

LH = 15

HS = 8x

Required

Determine the length of LS

Since H is between L and S, then

LS = LH + HS

Substitute 14x - 21 for LS, 15 for LH and 8x for HS

14x - 21 = 15 + 8x

Collect Like Terms

14x - 8x = 21 + 15

6x = 36

Divide both sides by 6

x = 6

Substitute 6 for x in LS = 14x - 21

LS = 14(6) - 21

LS = 84 - 21

LS = 63

<em>Hence, the length of LS is 63 units</em>

7 0
3 years ago
An infinite series is represented by:
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The infinite numbers is represented by D.
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3 years ago
If the heights of 300 students are normally distributed with mean 68.0 inches and standard deviation 3.0 inches, how many studen
Lunna [17]
Given:
μ = 68 in, population mean
σ = 3 in, population standard deviation

Calculate z-scores for the following random variable and determine their probabilities from standard tables.

x = 72 in:
z = (x-μ)/σ = (72-68)/3 = 1.333
P(x) = 0.9088

x = 64 in:
z = (64 -38)/3 = -1.333
P(x) = 0.0912

x = 65 in
z = (65 - 68)/3 = -1
P(x) = 0.1587

x = 71:
z = (71-68)/3 = 1
P(x) = 0.8413

Part (a)
For x > 72 in, obtain
300 - 300*0.9088 = 27.36

Answer: 27

Part (b)
For x ≤ 64 in, obtain
300*0.0912 = 27.36

Answer: 27

Part (c)
For 65 ≤ x ≤ 71, obtain
300*(0.8413 - 0.1587) = 204.78

Answer: 204

Part (d)
For x = 68 in, obtain
z = 0
P(x) = 0.5
The number of students is
300*0.5 = 150

Answer: 150

3 0
3 years ago
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