Answer: The answer is (B)
Explanation: The answer is (B) because, there are 2 zeros so that means that there would have to be a 2 behind the 10 and then there is 2,3,4,and 9. We take out the 9 and use the other numbers, bring over the decimal and now you have .
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An angles vertex is located at (0,0) and the initial ray of the angle points in the 3 oclock direction. Let theta represent the varying radian measure of the angle.
a. if the terminal ray of the angle passes through the point(3.38,2.32), whta is the slope of the terminal ray of the angle?
b. if the terminal ray of the angle passes through the point(1.49,3.82), whta is the slope of the terminal ray of the angle?
c. if the terminal ray of the angle passes through the point(1.1,3.95), what is the slope of the terminal ray of the angle?
Answer:
a. 1.45
b. 2.56
c. 3.59
Step-by-step explanation:
As we know that formula to find the slope is change in y-coordinates divided by change in x-coordinates.
It is given that initial point is (x1,y1)=(0,0)
Part(a)
initial point is (x1,y1)=(0,0)
terminal point is (x2,y2)=(3.38,2.32)
so the slope of the terminal ray is
Part(b)
initial point is (x1,y1)=(0,0)
terminal point is (x2,y2)=(1.49,3.82)
so the slope of the terminal ray is
Part(c)
initial point is (x1,y1)=(0,0)
terminal point is (x2,y2)=(1.1,3.95)
so the slope of the terminal ray is
Using the normal distribution, it is found that:
a)
b) There is a 0.5859 = 58.59% probability that the college graduate has between $14,200 and $33,950 in student loan debt.
c) Low: $23,519.65, High: $26,580.35.
<h3>Normal Probability Distribution</h3>The z-score of a measure X of a normally distributed variable with mean and standard deviation
is given by:
The mean and the standard deviation are given, respectively, by:
.
Hence the distribution of X can be described as follows:
The probability that the college graduate has between $14,200 and $33,950 in student loan debt is the <u>p-value of Z when X = 33950 subtracted by the p-value of Z when X = 14200</u>, hence:
X = 33950:
Z = 0.73
Z = 0.73 has a p-value of 0.7673.
X = 14200:
Z = -0.91
Z = -0.91 has a p-value of 0.1814.
0.7673 - 0.1814 = 0.5859.
There is a 0.5859 = 58.59% probability that the college graduate has between $14,200 and $33,950 in student loan debt.
Considering the symmetry of the normal distribution, the middle 10% is between the 45th percentile(X when Z = -0.127) and the 55th percentile(X when Z = 0.127), hence:
X - 25150 = -0.127(12050)
X = $23,519.65.
X - 25150 = 0.127(12050)
X = $26,580.35.
More can be learned about the normal distribution at brainly.com/question/4079902
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