Answer:
385
Step-by-step explanation:
Given that :
Mean, m = 500
Standard deviation, s = 100
Zcritical at 95% = 1.96
Confidence interval, C2 - C1 ; 510 - 490
Using the relation :
n = (2 * Zcritical * s) / (C2 - C1)
n = sample size
n = [(2 * 1.96 * 100) / (510 - 490)]^2
n = (392 / 20)^2
n = 19.6²
n = 384.16
n = 385
Answer:
x = 93
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180
x - 73 + x + 67 = 180
2x - 6 = 180 ( add 6 to both sides )
2x = 186 ( divide both sides by 2 )
x = 93
The number is n. 12 is what is being diminished (made smaller), so something is subtracted. 6 times a number is 6n
12 - 6n, so a
Complete the square for x and y.
(x² +42x +21²) + (y² +38y +19²) = 47 + 21² + 19²
The equation of this circle in standard form is (x +21)² + (y +19)² = 849The center of the circle is at the point (-21, -19)Its radius is √849
The general form of a circle centered at the origin with the same radius is
x² + y² - 849 = 0
The value of f(-6) is -3.