Answer: 6.71
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Work Shown:
The longest horizontal portion of length 6 breaks up into two equal pieces of length 3 each. Focus on the smaller right triangle on the right hand side. This right triangle has legs of 3 and 6. The hypotenuse is x.
Use the pythagorean theorem with a = 3, b = 6, c = x to find the value of x
a^2 + b^2 = c^2
3^2 + 6^2 = x^2
9 + 36 = x^2
45 = x^2
x^2 = 45
x = sqrt(45)
x = 6.7082039
x = 6.71
Assuming the fish pond is round, what you're given is the circumference.
So you know that 2<span>πr = 27.
We want to solve for the diameter, or d = 2r. We should isolate that.
2r = 27/</span><span>π
2r = 8.59 yards, or ~9 yards.</span>
That is the vertex form of a quadratic equation
We have to calculate the length of each side of the regular pentagon and to choose correct answer . It is given that the perimeter of the pentagon is 60 inches. And the perimeter is : P = 5 * L, where L stays for the length of each side. 60 in = 5 * L; L = 60 : 5; L = 12 in. Answer: C. 12 inches<span>.</span>
Answer:
Option c:
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 z-score that has a p-value of 
.
For this problem, we have that:
You have access to first year enrolment records and you decide to randomly sample 119 of those records. You find that 89 of those sampled went on to complete their degree. This means that 
.
90% confidence level
So 
, z is the value of Z that has a p-value of 
, so 
.
Sample of 90 people with a sample proportion of 0.25
This means that 
.
Confidence interval:
Which is option c.
