Answer:
(-16.494 ; -3.506)
Step-by-step explanation:
student Prob A Prob B difference, d (A-B)
1 20 35____ - 15
2 30 40 ___ - 10
3 15 20 ___ - 5
4 40 50 __ - 10
Difference, d = -15, -10, -5, -10
Xd = Σd/ n = - 40 / 4 = - 10
Standard deviation of d ; Sd = 4.082
The confidence interval for the difference is given as :
Xd ± Tcritical*(Sd/√n)
Tcritical at 95%; df = n - 1 ; 4 - 1 = 3
Tcritical(0.05, 3)). = 3.182
C.I = -10 ± 3.182(4.082/√4)
C.I = -10 ± 6.494462
C. I = (-16.494 ; -3.506)
HI There!
Answer:
6/18 or 1/3
Step-by-step explanation:
Total Sodas: 6 + 6 + 6 = 18
We Know: 6 Pepsi's out of all the sodas total.
Ratio: 6 Pepsi's/18 total sodas
Simplified: 1/3
Hope This Helps :)
Answer:
a force of 1250lb is exerted
Step-by-step explanation:
since the force of the wind varies jointly as the area of the surface and the square of the velocity,
let f = force
a = area
velocity =v
from the above statement, we find out that
----1
that is
-----2
where k is a coefficent of proportionality
since velocity of wind in mph,v =50
and force in lb = 20
and surface area =
from eqn 2
we have that

making k subject of the formula
we have that

that means that
---3
however, when velocity = 125mph
surface area =
putting values in eqn 3 we have
hence a force of 1250lb is exerted
Answer:
g(x) = |x-7|
Step-by-step explanation:
The translation of the graph of y = |x| 7 units to the right is represented by g(x) = |x-7|.