Answer:
d = 6
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₄ = 23 and a₁₁ = 65 , then
a₁ + 3d = 23 → (1)
a₁ + 10d = 65 → (2)
Subtract (1) from (2) term by term to eliminate a₁
10d - 3d = 65 - 23
7d = 42 ( divide both sides by 7 )
d = 6
Answer:
5.714
Step-by-step explanation:
8*5= 40
40/7= 5.714
Answer:
0.001%
Step-by-step explanation:
Given that a recent study conducted by the state government attempts to determine whether the voting public supports a further increase in cigarette taxes to help the public schools
n = 1500
favour x = 622
Sample proportion p = 
(right tailed test)
Assume H0 to be true.
Std error = 
p difference = -0.2453
Test statistic Z = 
p value <0.00001
Hence fon ull hypothesis not to be rejected significant level should be greater than 0.00001 or 0.001%
Answer:
3 hours
Step-by-step explanation:
Distance between South Central High and Redding = 480km
Distance= Average Speed X Time
Let the speed of the express train=x
Let the time taken BG the train=t
For the train:
480=xt...(1)
Since the plane flies 40km/hr faster
Speed of the Plane=x+40
They can save one hour using the plane, so Time taken by the plane
=(t-1)hours
For the plane:
Distance= Average Speed X Time
480=(x+40)(t-1)....(2)
Equate equations 1 and 2 since the distances are equal.
xt=(x+40)(t-1)
xt=xt-x+40t-40
x=40t-40
Substitute x=40t-40 into equation (1)
480=xt
480=(40t-40)t
40t²-40t-480=0
Dividing all through by 40
t²-t-12=0
t²-4t+3t-12=0
t(t-4)+3(t-4)=0
(t-4)(t+3)=0
t-4=0 or t+3=0
t= 4hours (Since t cannot be negative)
Since it will take (t-1) hours to fly, it takes 3 hours to fly to Redding.
Y/x = 9/12 = 3/4
so
y = (3/4)x . . . . . . both x and y in dollars.
