Answer:a. μ = 9.667 hours
b. σ = 1.972 hours
c. SE = 0.805 hour
Sample size (n) = 6
Sample data (xi) = 10, 8, 9, 7, 11, 13
a. Mean time spent in a week for this course by students:
Sample mean is given by:
Mean time spent in a week per student is 9.667 hours
b. Standard deviation of the time spent in a week for this course by students:
Standard deviation is given by:
c. Standard error of the estimated mean time spent in a week for this course by students:
Standard error is given by:
Answer:
Area for Shape p is 12, the name for the shape q is a rhombus.
Step-by-step explanation:
The shape p is a triangle for if you find the height of the shape which is 6 and the length of the base which is 4 multiply them together then divide by 2 to get the area.
Answer:
x = 7, arc DE = 198°
Step-by-step explanation:
Inscribed angles from the same arc are congruent.
∠ DCE and ∠ DWE are inscribed angles from the same arc DE , thus
12x + 15 = 3x + 78 ( subtract 3x from both sides )
9x + 15 = 78 ( subtract 15 from both sides )
9x = 63 ( divide both sides by 9 )
x = 7
Thus
∠ DCE = 12x + 15 = 12(7) + 15 = 84 + 15 = 99°
The inscribed angle DCE is half the measure of its intercepted arc, thus
arc DE = 2 × 99° = 198°
The equation of a circle is (x-h)²+(y-k)²=r², with h being the x value in the center, k being the y value, and r being the radius. x and y can stay variables, so we can plug numbers in to get (x-0)²+(y-3)²=5²=25=x²+(y-3)²
X=-7y+34
x+7y=32
To begin with make the two problems the same kind of problem. By adding 7y on both sides for the first problem.
x+7y=34
x+7y=32
So the correct answer would be no solution because it's the same problem and it can't equal to different answers.