<u>Answer:</u>
8 inches
<u>Step-by-step explanation:</u>
The circumference of a circular ring of the steel wire = 25.12 cm
To find the diameter of the circular ring, we will first find the radius of the circular ring, using the circumference, and then multiply it by 2.
We know that:
<em>Circumference = </em>
25.12 = 2 x 3.14 x r
r = 25.12 / (2 x 3.14)
r = 4 inches
Therefore, the diameter of the circular ring will be 2 x 4 = 8 inches.
Answer:
General Formulas and Concepts:
<u>Pre-Alg</u>
<u>Alg I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
Point (3, 5)
Point (-2, 0)
<u>Step 2: Find midpoint</u>
Answer:
So the value of height that separates the bottom 45% of data from the top 55% is 1022.53.
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the energy consumption of a population, and for this case we know the distribution for X is given by:
Where and
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
Both conditions are equivalent on this case. We can use the z score again in order to find the value a.
As we can see on the figure attached the z value that satisfy the condition with 0.45 of the area on the left and 0.55 of the area on the right it's z=-0.126. On this case P(Z<-0.126)=0.45 and P(z>-0.126)=0.55
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for a we got
So the value of height that separates the bottom 45% of data from the top 55% is 1022.53.