Answer:
0 ≤ t ≤ 5.
Step-by-step explanation:
In the function
,
is the independent variable. The domain of
is the set of all values of
that this function can accept.
In this case,
is defined in a real-life context. Hence, consider the real-life constraints on the two variables. Both time and volume should be non-negative. In other words,
.
.
The first condition is an inequality about
, which is indeed the independent variable.
However, the second condition is about
, the dependent variable of this function. It has to be rewritten as a condition about
.
.
Hence, t ≤ 5.
Combine the two inequalities to obtain the domain:
0 ≤ t ≤ 5.
About 1.63 ft.
First subtract 8.5 from 11.75 which is 3.25
then divide 3.25 by 2 which is 1.625
Therefore about 1.63 ft. away from each side.
(n-3) 2n+6)
18n2-45n+25
8n-18n2-45n+25
8n-18n2
8-45n=37
37+25=62
Answer:
Angle 2 is 36 degrees
Step-by-step explanation:
73 - 37 = 36
Answer:
a. 0.7291
b. 0.9968
c. 0.7259
Step-by-step explanation:
a. np and n(1-p) can be calculated as:

#Both np and np(1-p) are greater than 5, hence, normal approximation is most appropriate:

#Define Y:
Y~(11.04,5.7408)

Hence, the probability of 12 or fewer is 0.8291
b. The probability that 5 or more fish were caught.
#Using normal approximation:

Hence, the probability of catching 5+ is 0.9968
c. The probability of between 5 and 12 is calculated as;
-From b above
and a ,
=0.7291

Hence, the probability of between 5 and 12 is 0.7259