This is a problem of variations because the order is important, it can not be selected all of members, and can not repeat.
15V3 = 15!/(15-3)! = 2730
Cos(38°) = x/44 ⇒ x = 44 * cos(38°) ≈ 34.7 units
Answer:
x = 12
Step-by-step explanation:
The slope-intercept form formula, 
, can be used to write an equation for the line.
Where,
m = slope = 
b = y-intercept, which is the point at which the line intercepts the y-axis. At this point, x = 0.
Let's find the slope (m) using the coordinates of the two points given, (0, 30), (3, 60).
Let,
y-intercept of the line, b = 30
Equation for the line would be:
Using the equation, find x when y = 150.
Simply substitute the value for y in the equation to find x.
Subtract 30 from both sides
Divide both sides by 10
x = 12
Answer:
95% Confidence Interval = (611.81 ppm, 696.51 ppm)
Step-by-step explanation:
The formula for Confidence Interval is given as:
Confidence Interval = Mean ± z × s /√n
Mean = the sample mean/average = 654.16
s = the sample standard deviation = 164.55
z = z score of 95% confidence interval = 1.96
Confidence Interval =
654.16 ± 1.96 × 164.55/√58
= 654.16 ± 42.348
Hence,
654.16 - 42.348
= 611.812
Approximately to two decimal places = 611.81 ppm
654.16 + 42.348
= 696.508
Approximately to two decimal places = 696.51 ppm
Therefore, the 95% (two-sided) confidence interval for true average CO2 level in the population of all homes from which the sample was selected is (611.81 ppm, 696.51 ppm).
Answer:
The answer must be D
Step-by-step explanation:
When a shape like a trapezoid is rotated, the figure will remain the same which means that a rotation will not change the measure of the angles, or the measure of the sides, therefore d must be correct because a rotation is a rigid transformation.
