Answer:
Step-by-step explanation:
Given
g(x) = f(x) 4 units left
Required
Find g(x)
When a point is translated 4 units left, the rule is:
So, we have:
is calculated as:
Hence:
Answer:
H0: There is no association between state and sporting preference.
H1: There is an association between state and sporting preference
Step-by-step explanation:
The hypothesis to be tested for is whether the factor 'state' is associated with the factor 'sporting preference'.
The study is therefore about 'association' and whether the distributions of sporting preferences are identical across states. In scenario in this case is the test for association which is the most appropriate test.
Two factors are deemed to not be associated unless there is supporting evidence to suggest otherwise. Since the null hypothesis is the default belief, the correct pair of hypotheses are:
H0: There is no association between state and sporting preference.
H1: There is an association between state and sporting preference
Answer:
1,600 seats in the theater
Step-by-step explanation:
well it seems like each row is being increased by 8 seats each time.
we start with 4 seats in the 1st row. 12 in the 2nd. and 20 in the 3rd. I will make a chart showing you how many seats are in each row.
4th row - 28 5th row - 36 6th row - 44 7th row - 52 8th row - 60 9th - 68 10th - 76 11th - 84 12th - 92 13th - 100 14th - 108 15th - 116 16th- 124 17th - 132 18th - 140 19th - 148 20th - 156
if we add these all together you will get 1,600
Answer: t= 460.52 minutes
Step-by-step explanation:Q'=Q/100
Q'= rate in and out of water
Finding the differential equation
Let Q'(t)= The quantity of dye in the tank for t time
But rate in=0 Q/200 ×2=Q'
Q'/Q=-1/100
Dividing by Q gives
Ln/Q/ + c = -1/100 + c1
Integrating both sides gives
Ln/Q/ = -(1/100)t + c2
But c+c1=C2= A constant
Q=C2e(-t/100)
200e-(t/100)
t= ln200
t=460.52minutes
