A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not. determ
1 answer:
The confidence interval would be (0.122, 0.278).
We first find our z-score. We want a 95% confidence interval:
0.95/2 = 0.475
Looking this up in the z-table, (http://www.statisticshowto.com/tables/z-table/) we see the z-score is 1.96.
The formula we will use is:
In this problem, p = 20/100 = 0.2, and n=100:
We first find our z-score. We want a 95% confidence interval:
0.95/2 = 0.475
Looking this up in the z-table, (http://www.statisticshowto.com/tables/z-table/) we see the z-score is 1.96.
The formula we will use is:
In this problem, p = 20/100 = 0.2, and n=100:
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Consider the circle with center X, as shown in the figure.
Draw the diameter of the circle which is parallel to cherd AB, as shown in the figure.
Since the diameter and AB are parallel, then the line segment XC which bisects AB at C, will be perpendicular to AB.
SO triangle XCB is a right triangle. Thus the length of CX, by the Pythagorean theorem is
units.
Answer: 8 units
Draw the diameter of the circle which is parallel to cherd AB, as shown in the figure.
Since the diameter and AB are parallel, then the line segment XC which bisects AB at C, will be perpendicular to AB.
SO triangle XCB is a right triangle. Thus the length of CX, by the Pythagorean theorem is
Answer: 8 units
Answer:
Part 1) The rate of change is the amount of money saved by week
Part 2) The amount of money saved weekly by Alyssa is greater than the amount of money saved weekly by Sarah.
Part 3) see the explanation
Step-by-step explanation:
see the attached figure to better understand the problem
<u><em>The complete question is</em></u>
Part 1) What does the rate of change in the example represent?
Part 2) What does it mean in context of the example that Alyssa’s rate of change is greater than Sarah’s?
Part 3) Write ordered pairs for the initial values of each function. Tell what the initial values represent
Part 1) we know that
The rate of change is the slope or unit rate of the linear equation
The formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)
In this context the rate of change is the amount of money saved by week
Part 2) we know that
Alyssa’s rate of change is equal to $8 per week
Sarah’s rate of change is equal to $6 per week
That means ----> The amount of money saved weekly by Alyssa is greater than the amount of money saved weekly by Sarah.
Part 3) we know that
The initial value or y-intercept is the value of y when the value of x is equal to zero
In this context , the initial value is the amount of money available at the time of beginning to save
so
<em>Sarah's Savings</em>
Looking at the graph
The initial value is the point (0,8)
That means ----> At the beginning (x=0), Sarah already had $8 saved.
<em>Alyssa's Savings</em>
Looking at the graph
The initial value is the point (0,0)
That means ----> At the begin (x=0), Alyssa had nothing saved.
