Here is the answer OwO:
A 12-foot flagpole casts a nine-foot shadow. The measure from the top of the shadow to the top of the flag pole is 15.
Here is the explanation/work OwO:
<u><em>Switch sides.</em></u>
c^2=12^2+9^2
<u><em>12^2=144</em></u>
c^2=144+9^2
<u><em>9^2=81</em></u>
c^2=144+81
<u><em>Add the numbers: 144 + 81 = 225</em></u>
c^2=225
<u><em>For x^2 = f(a) the solution is √f(a)</em></u>
c = 15
Therefore, your answer will be 15.
_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-
Sorry if I am late. Hope this helps!! ^^
Let x = the minutes that Tom has remaining before exceeding 500 minutes.
Because he has already used 230 minutes, the total minutes he has is
x + 230
We want this total to be less than or equal to 500 minutes.
Therefore
x + 230 ≤ 500
Answer: x + 230 ≤ 500
Answer:
The 80% confidence interval for the population proportion of disks which are defective is (0.059, 0.079).
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 1067 floppy disks is drawn. Of these disks, 74 were defective.
This means that 
80% 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 80% confidence interval for the population proportion of disks which are defective is (0.059, 0.079).
The graph shows the solutions:
x1 = -3 ⇒ x + 3 = 0
x2 = 1 ⇒ x - 1 = 0
x3 = 5 ⇒ x - 5 = 0
The polynomial follows: y = (x + 3)(x - 1)(x - 5)
.
