Given:
mean = 64
standard deviation = 6
sample size = 50
Standard error of the sample mean = standard deviation / √sample size
Standard error = 6 / √50 = 6/7.07 =<span> 0.85</span>
Answer:
A = 222 units^2
Step-by-step explanation:
To find the area of this trapezoid, first draw an imaginary horizontal line parallel to AD and connecting C with AB (Call this point E). Below this line we have the triangle CEB with hypotenuse 13 units and vertical side (21 - 16) units, or 5 units. Then the width of the entire figure shown can be obtainied using the Pythagorean Theorem:
(5 units)^2 + CE^2 = (13 units)^2, or 25 + CE^2 = 169. Solving this for CE, we get |CE| = 12.
The area of this trapezoid is
A = (average vertical length)(width), which here is:
(21 + 16) units
A = --------------------- * (12 units), which simplifies to:
2
A = (37/2 units)(12 units) = A = 37*6 units = A = 222 units^2
Answer:
- question 2 answer is C. (-1,7) and (6,28)
- question 3 answer is A. it is possible for a system of equations composed of linear function and a quadratic function to have 3 solutions.
- question 4 answer is (1,6)
P.s. if any question is wrong then I'm sorry. :(
Step-by-step explanation:
question 4
y=2x^2-5x+9
y= 2x^2+5x-1
y= 2x^2-5x+9=2x^2+5x-1
x=1
y= 2×1^2+5×1-1
y=6