Answer:
C. 31.83 feet.
Step-by-step explanation:
We have been given that Trina has $1000 to purchase an open-top cylindrical dog pen in her backyard. She wants the height of the pen to be 5 feet.
First of all, we will find the surface area of dog pen using surface area of cylinder.
,where,
r = Radius of cylinder,
h = Height of cylinder.
Since the area of each square foot of pen costs $1, so in $1000 Trina can cover an area of 1000 square feet.
Now, we will set the surface area of cylinder equal to 1000 to solve for the radius.
Upon dividing both sides of our equation by 10 pi we will get,
Therefore, the radius of the dog pen is 31.83 feet and option C is the correct choice.
Answer:
The second
Step-by-step explanation:
is the correct equation
Answer:
B is the correct answer
Step-by-step explanation:
A. is wrong because 3/8 would shrink the circle, not expand it.
B. is correct because 8/3 means the circle will expand, not shrink.
C. is wrong because those coordinates only reposition and move the circle, not dilate.
D. is wrong because those coordinates only reposition and move the circle, not dilate.
The value of z-score for a score that is three standard deviations above the mean is 3.
In this question,
A z-score measures exactly how many standard deviations a data point is above or below the mean. It allows us to calculate the probability of a score occurring within our normal distribution and enables us to compare two scores that are from different normal distributions.
Let x be the score
let μ be the mean and
let σ be the standard deviations
Now, x = μ + 3σ
The formula of z-score is
⇒ 
⇒ 
⇒ 
Hence we can conclude that the value of z-score for a score that is three standard deviations above the mean is 3.
Learn more about z-score here
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When the sides are congruent (same direction and size), and the two opposite sides are parallel, the angles are the same. In an isosceles triangle, two angles are congruent, because two sides are congruent.
