Using the normal distribution, it is found that the probability is 0.16.
<h3>Normal Probability Distribution</h3>
In a normal distribution with mean 
and standard deviation 
, the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
In this problem, the mean and the standard deviation are given by, respectively, 
.
The proportion of students between 45 and 67 inches is the p-value of Z when <u>X = 67 subtracted by the p-value of Z when X = 45</u>, hence:
X = 67:
Z = -1
Z = -1 has a p-value of 0.16.
X = 45:
Z = -8.3
Z = -8.3 has a p-value of 0.
0.16 - 0 = 0.16
The probability is 0.16.
More can be learned about the normal distribution at brainly.com/question/24663213
Given:
Diameter of outer circle = 20 inches.
We need to find the Area of the outer circle to get the radius of the inner circle.
Area = πr²
Outer circle Area = 3.14 * (10in)² = 314 in²
314 in² * 64% probability = 200.96 in² Area of the inner circle.
200.96 in² = 3.14 * r²
200.96 in² / 3.14 = r²
64 in² = r²
√64 in² = √r²
8 in = r
radius of inner circle is 8 inches.
Answer:
A=3, B=4, C=-5
Step-by-step explanation:
So A represents the amplitude, which is the distance between the midline (C), the middle of the graph, and the maximum (or minimum). B is the distance of the period of the graph. In this case, we see that the midline is C=-5 because that is the halfway point of the sine function. We also see that the period distance is B=5-1=4, so our period would be 2π/4 or π/2. Our amplitude would be A=3 because |a|=|-5-(-2)|=|-5+2|=|-3|=3. Observe the graph to see this visually.
So in your circle their is a terminal point who is assigned by the value of P(x,y) and lies or determined by teh value of T=4pi/3. To get the coordinates of this terminal point first is to know what is the angle of the T and the answer is (-1/2, -sqrt(3)/2)
Hi there!
Answer:
<u><em>A. 12. x=12 and 12=x</em></u>
Step-by-step explanation:
addition property of equality is adding the same number both sides of an equation does not change the equation.
subtraction property of equality is subtraction the same number from both sides of an equation does not change the equation.
multiplication property of equality is multiplying both sides of an equation by the same number does not change the equation.
division property of equality is dividing both sides of an equation by the same number non-zero number does not change the equation.
x-6=14-8
subtract by 6 both sides of an equation.
x-6=6
add by 6 both sides of an equation.
x-6+6=6+6
simplify.
6+6=12
x=12
12-6=6
Hope this helps!
-Charlie
Have a great day!
