Answer:
Step-by-step explanation:
+2*k*pi is for the periodicity (if you turn 360° you get back to the same point)
Answer:
6 Hours
Step-by-step explanation:
First add all the times spent at the media center, then divide all the times by 5, since there is 5 times.
all the times added up = 30
30 divded by 5 = 6
Answer:
20 +/- $6.74
= ( $13.26, $26.74)
The 90% confidence interval for the difference in average amounts spent on textbooks (math majors - English majors) is ( $13.26, $26.74)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x1-x2 +/- margin of error
x1-x2 +/- z(√(r1^2/n1 + r2^2/n2)
Given that;
Mean x1 = $200
x2 = $180
Standard deviation r1 = $22.50
r2 = $18.30
Number of samples n1 = 60
n2 = 40
Confidence interval = 90%
z(at 90% confidence) = 1.645
Substituting the values we have;
$200-$180 +/-1.645(√(22.5^2/60 +18.3^2/40)
$20 +/- 6.744449847374
$20 +/- $6.74
= ( $13.26, $26.74)
The 90% confidence interval for the difference in average amounts spent on textbooks (math majors - English majors) is ( $13.26, $26.74)
Answer:
Four acute angles
Step-by-step explanation:
The length of the radius of the cylinder is 2 units.
The lateral surface area of a cylinder = <span>
2πrh</span>
where, r = base radius
h = height of cylinder
Now, height of cylinder = 2r units
⇒ 16 π = 2×π×r×<span>h
</span>⇒ 16 π = 2×π×r×2r
⇒
= 4
⇒ r = 2 units
Thus, radius is 2 units.
