Answer:
3.83
Step-by-step explanation:
Mean of x = Σx / n
Mean of x = (14 + 19 + 13 + 6 + 9) / 5 = 12.2
Sum of square (SS) :
(14-12.2)^2 + (19-12.2)^2 + (13-12.2)^2 + (6-12.2)^2 + (9-12.2)^2 = 98.8
Mean of y = Σy / n
Mean of y = (101 + 89 + 48 + 21 + 47) / 5 = 61.2
Σ(y - ybar)² = (101-61.2)^2 + (89-61.2)^2 + (48-61.2)^2 + (21-61.2)^2 + (47-61.2)^2 = 4348.8
df = n - 2 = 5 - 2 = 3
Σ(y - ybar)² / df = 4348.8 / 3 = 1449.6
√(Σ(y - ybar)² / df) = √1449.6 = 38.074
Standard Error = √(Σ(y - ybar)² / df) / √SS
Standard Error = 38.074 / √98.8
Standard Error = 3.83
Answer:
Step-by-step explanation:
To see if two events are independent you can use the formula P(a|b) = P(a)
In this problem P(C|Y) = 35/75 = .4667 and P(C) = 110/300 = 3.667,
therefore C and Y are not independent events because P(C∣Y) ≠ P(C).
The answer is choice D
9514 1404 393
Answer:
90 minutes
Step-by-step explanation:
Assuming the time is proportional to the number of pages, you have ...
time/pages = 20/6 = T/27
Multiplying by 27 gives ...
T = 27(20/6) = 90
It is expected to take 90 minutes to check 27 pages.
Answer:
24 mm
Step-by-step explanation:
25^2 - 7^2
625 - 49
= 576
missing side = √576 = 24
Answer:
Step-by-step explanation:
The formula for arc length in terms of degrees is
and we have everything we need to fill in to find the angle measure.
which is the same as
and
and
so
θ = 253°
