Answer:
b.
Step-by-step explanation:
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 = 
If s represents the number of songs Kim downloads, her expenses for a month must satisfy the inequality
5.00 + 0.58·s ≤ 13.00
To solve this, subtract 5.00 to get the s-term by itself, then divide by the coefficient of s.
0.58·s ≤ 8.00
s ≤ 8.00/0.58 ≈ 13.79
The number of songs must be an integer, so we conclude Kim can download 13 songs, but not 14 songs.
Kim can download 13 songs without exceeding her budget.
Answer:
1.3125
Step-by-step explanation:
Given that our random variable
follows a Poisson distribution
Evaluate the formula at 

#since

The mean and variance of the Poisson distributed random variable is equal to
:

#By property variance:

The expectation is 1.3125
We know that
[perimeter of rectangle]=2*(<span>length+width)
</span>
Let
x-----------> length
y-----------> width
so
P=2*(x+y)-----------> 244=2*(x+y)-----> x+y=122-------> y=122-x
Area=x*y-------> x*(122-x)----> 122x-x²
find the derivative function and equals to zero
122-2x=0-----> 122=2x----------> x=61 m
y=122-x------> y=122-61---------> y=61 m
<span>the maximum area is given by a square
</span>
the answer is
is a square of side 61 m