Answer:
The test statistic for this test is 3.82.
Step-by-step explanation:
The null hypothesis is:
The alternate hypotesis is:
Our test statistic is:
In which X is the sample mean,
is the value tested at the null hypothesis,
is the standard deviation of the population and n is the size of the sample.
In this question:

So
The test statistic for this test is 3.82.
Subtract 2x from each side
2x+3=4x+1
-2x -2x
3=2x+1
subtract 1 from each side
3=2x+1
-1 -1
2=2x
divide each side by 2
2=2x
1=x
Answer:
X = 18
Y = 9√3
Step-by-step explanation:
use sin equation for right angle triangle
The sine of the angle
= ( the length of the opposite side ÷ the length of the hypotenuse.)
according to this question,
sin 30 = 9 / X
1/2 = 9 / X
X = 18
use cosine to find y
The cosine of the angle
= (the length of the adjacent side ÷ the length of the hypotenuse.)
cos 30 = y/x
√3/2 = y/ 18
y = 9 ✓3
Total liters of water needed = number of attendee x water consumption/attendee wherenumber of attendee = 7000 attendeewater consumption/attendee = 0.5litre of water/attendeetotal = 7000 x 0.5 litre = 3500 litrescomputing the water requirement per 200 litre containerwater requirement in the event = 3500 litres/200 litre /container = 17.5 containersThe water requirement in the event at the arena of 7000 attendees is 17.5 containers.