Answer:
σ = 0.5102
Step-by-step explanation:
If
Y = volume filled,
µ = mean
It is a normal distribution
It follows that
0.95 = P (|Y − µ| < 1) = P (|Z| < 1 / σ)
so that
1 / σ = 1.96 ⇒ σ = (1 / 1.96)
⇒ σ = 0.5102.
we have

Using a graph tool------> to resolve the second order equation
the solution is

so

therefore
the answer is the option
length = (x + 18) inches and width = (x + 9) inches
Answer:
a.

b.

Step-by-step explanation:
a. From the information provided, we can deduce that the population death's follows a Geometric sequence in the form
where
and 
#Since the population is reducing,
can is obtained as 
#The
term is obtained using the formula
, given a=1200
The number of ants alive after every month (in first 4 months)

The ant's alive after 4 months is obtained as the value of 

Hence, 936 ants are alive after 4 months.
b. As with the above question, the kitten population follows a geometric sequence:
.
#Since it's a growing population , the common ration is the sum of 100% + the growth rate,
and
and 
The population after 4weeks will be:

245.34 is 174% of 141 :)
(1.74*141=245.34)
It helps to remember that "of" in math means to multiply. That's helped me for years.
Answer:
a=5,a=-5
Step-by-step explanation: