Divide 27.5/11, and you get 2.5.
Austin rode for 2.5 hours (2 and a half hours).
Answer:
A and D
Step-by-step explanation:
-7/2-4= -15/2
-7+1/2(-4)
-7-2
-9
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:
and 
Step-by-step explanation:
the perimeter of a rectangle is given by the following equation:

if a rectangle has a perimeter of 76cm and its length is 5 plus the double of its width we can use a system of equations to find the length
, and the width
.
For the perimeter of the rectangle
where
is its length, and
is its width, 76 is the perimeter of the rectangle in cm.
We know that the lengh of the rectangle is 5 plus the double of its width, writing the equation:

Substituting the equation above in 

We got that the rectangle width is w=11cm
Substituting w in the equation 

We got that the rectangle length is l=27cm
Verifying the values obtained
with l=27 and w=11
Satisfying the equation
Answer:
The 98% confidence interval for the population proportion of disks which are defective is (0.082, 0.118).
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
.
Suppose a sample of 1536 floppy disks is drawn. Of these disks, 1383 were not defective.
1536 - 1383 = 153
This means 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 for the population proportion of disks which are defective is (0.082, 0.118).