Answer:
0,78
Step-by-step explanation:
Answer:
Step-by-step explanation:
z(lower) = (15-15)/4 = 0
z(upper) = (19-15)/4= 1
z at 0 = .5
z at 1 = 0.841344746
(look these up in a Z table)
probability "between" = 0.841344746 - .5 = 0.3841344746
Answer:
7/36
Step-by-step explanation:
find the LCD write all the numerators above the least common denominator
LCD is 36
4 +3 /36 =7/36
Answer:
b > -16
Step-by-step explanation:
The inequality is given as:
b - 1 > -17
To solve this problem, add +1 to both sides of the expression:
b - 1 + 1 > -17 + 1
Now;
b > -16
So, all values for which b is more than -16 satisfy the solution for this problem.
<h3>Answer:</h3>
Equation of the ellipse = 3x² + 5y² = 32
<h3>Step-by-step explanation:</h3>
<h2>Given:</h2>
- The centre of the ellipse is at the origin and the X axis is the major axis
- It passes through the points (-3, 1) and (2, -2)
<h2>To Find:</h2>
- The equation of the ellipse
<h2>Solution:</h2>
The equation of an ellipse is given by,

Given that the ellipse passes through the point (-3, 1)
Hence,

Cross multiplying we get,
- 9b² + a² = 1 ²× a²b²
- a²b² = 9b² + a²
Multiply by 4 on both sides,
- 4a²b² = 36b² + 4a²------(1)
Also by given the ellipse passes through the point (2, -2)
Substituting this,

Cross multiply,
- 4b² + 4a² = 1 × a²b²
- a²b² = 4b² + 4a²-------(2)
Subtracting equations 2 and 1,
- 3a²b² = 32b²
- 3a² = 32
- a² = 32/3----(3)
Substituting in 2,
- 32/3 × b² = 4b² + 4 × 32/3
- 32/3 b² = 4b² + 128/3
- 32/3 b² = (12b² + 128)/3
- 32b² = 12b² + 128
- 20b² = 128
- b² = 128/20 = 32/5
Substituting the values in the equation for ellipse,


Multiplying whole equation by 32 we get,
3x² + 5y² = 32
<h3>Hence equation of the ellipse is 3x² + 5y² = 32</h3>