Answer:
0.077994
Step-by-step explanation:
Given that the owner of a local nightclub has recently surveyed a random sample of n = 250 customers of the club.
(Right tailed test)
Sample size =
Sample mean = 30.45
Mean difference =
Sample std dev s = 5
Sample std error =
Test statistic = Mean diff/std error =
Since population std deviation is not know we use t test
p value =
Answer:
-5
Step-by-step explanation:
Moving all terms of the quadratic to one side, we have
.
A quadratic has one real solution when the discriminant is equal to 0. In a quadratic , the discriminant is
.
(The discriminant is more commonly known as , but I changed the variable since we already have a
in the quadratic given.)
In the quadratic above, we have ,
, and
. Plugging this into the formula for the discriminant, we have
.
Using the distributive property to expand and simplifying, the expression becomes
Setting the discriminant equal to 0 gives
.
We can then solve the equation as usual: first, divide by 2 on both sides:
.
Squaring both sides gives
,
and subtracting 5 from both sides, we have
Answer:
The quantity of water drain after x min is 50
Step-by-step explanation:
Given as :
Total capacity of rain barrel = 50 gallon
The rate of drain = 10 gallon per minutes
Let The quantity of water drain after x min = y
Now, according to question
The quantity of water drain after x min = Initial quantity of water ×
I.e The quantity of water drain after x min = 50 gallon ×
or, The quantity of water drain after x min = 50 gallon ×
Hence the quantity of water drain after x min is 50 Answer