Answer:
13.5 feet
Step-by-step explanation:
Square root of 182 = 13.49
Answer:
E(X) = 41.196
Var(X) = 17.975
E(Y) = 40.75
Var(Y) = 9.922
Step-by-step explanation:
40 + 41 + 35 + 47 = 163
The probability that a student was on the bus is proportional to how many students were on the bus. So, for bus a, its = 40/163 ; for bus b, it's = 41/163 ;for bus c, it's 35/163= ;for bus d, it's = 47/163
A) E(X) = 40(40/163) + 41(41/163) + 35(35/163) + 47(47/163)
E(X) = 6715/163
E(X) = 41.196
B) Var(X) = [(40 - 41.196)²•(40/163)] + [(41 - 41.196)²•(41/163)] + [(35 - 41.196)²•(35/163)] + [(47 - 41.196)²•(47/163)]
Var(X) = (1.430416 + 1.575056 + 1343.66456 + 1583.261552)/163
Var(X) = 2929.931584/163
Var(X) = 17.975
C) The bus driver has a 1/4 probability on being on any of the buses. Thus,
E(Y) = 163/4
E(Y) = 40.75
D) Var(Y) = (40.75 - 40)²/4 + (40.75 - 41)²/4 + (40.75-35)²/4 + (40.75-47)²/4
Var(Y) = 0.140625 + 0.015625 + 9.765625
Var(Y) = 9.922
C.
Explanation: 12x65=780
(12 months in 1 year)
Hope this helps! :)
Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = ![\frac{y_{2}-y_{1} }{x_{2}-x_{1} }](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D-y_%7B1%7D%20%20%7D%7Bx_%7B2%7D-x_%7B1%7D%20%20%7D)
with (x₁, y₁ ) = (0, - 6) and (x₂, y₂ ) = (8, - 4) ← 2 points on the line
m =
=
= ![\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D)
The line crosses the y- axis at (0, - 6 ) ⇒ c = - 6
y =
x - 6 → B