Answer:
8-10 feet
Step-by-step explanation:
If the length of the carpet is two more than the width, the width can be expressed as x and the length can be expressed as x+2. This means that the area(x^2+2x) must be greater than 48 but no less than 80.
Now we can solve for both the maximum and minimum cases:
x^2+2x=48, x^2+2x-48=0, now we can factor, (x+8)(x-6)=0, and now we can use the Zero Product Property to find x=-8;x=6. Since we cant have negative width, x at least has to be equal to 6.
x^2+2x=80,x^2+2x-80=0, now we can factor, (x+10)(x-8), and now using the Zero Product Property to find x=-10;x=8, and since it must be positive, at most x can equal 8.
Now since the length is two more than the width, x, you add two to both of these values and get a range of 8-10 feet.
Answer:
The answer is C one solution
Step-by-step explanation:
x-y=-14
-y=-x-14 bring x to the other side
y=x+14 divide everything by -1
-x-y=14
-y=x+14 bring x to the other side
y=-x-14 divide everything by -1
First, you want to find out how many feet in a yard
3ft=1yd
so you do 21/3 to get your yard, and the answer is 7 yard
17 yard is greater than 7 yard so 17 is the answer
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).
The 3 in the hundreds place (value of 300) has a value that is 10x the 3 in the tens (value of 30).