Simply substitute the value of
3
given. In other words,
f
(
3
)
is the function of
f
(
x
)
, however, in this case,
x
is
3
f
(
3
)
=
3
(
3
)
−
4
Distribute
3
through the parenthesis
f
(
3
)
=
9
−
4
Simplify
f
(
3
)
=
5
Answer:
The 98% confidence interval on the population proportion of people who like the new flavor is (0.8237, 0.8763).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
For this problem, we have that:
98% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
The lower limit of this interval is:
The upper limit of this interval is:
The 98% confidence interval on the population proportion of people who like the new flavor is (0.8237, 0.8763).
Answer:
4
Step-by-step explanation:
Answer:
Expressed as a mixed number in its simplest form, 27/4 is equal
to 6 3/4 or six and three quarters.
Step-by-step explanation:
Answer:
Step-by-step explanation:
1) we have to find the area of the cut out portion
Since both circles in one side makes up the side 28cm
The diameter of each circle is 14cm
radius = diameter / 2
r = 7cm
Area of a circle = πr²
A = 22/7 × 7²
= 22/7 × 7 × 7
= 22 × 7 = 154cm²
So the four circles will make
= 154 + 154 + 154 + 154
= 616 cm²
The Area of the square will be
= L × L
= 28 × 28
= 784 cm²
Therefore the area of the remaining portion will be
Area of the square - total area of the circles
= 784 cm² - 616 cm²
= 168 cm²
The area of the remaining part is 168 cm²
