Answer:
340 degrees
Step-by-step explanation:
So the key thing here is to notice that we are given the circumference which will allow us to find a value for the radius of the circle and hence the angle subtended by the arc (the central angle).
So the circumference of a circle = 2pi(r)
This means:
6 = 2pi(r)
Which means that
r = 6/2pi or r = 3/pi
Now we can use this value of r to find our angle in conjunction with the value of the arc length. So:
Arc length is defined by: length = θr
Where θ is our angle value.
So lets plug in:
Multiply by pi to get:
Divide by 3 to get that:
θ = 17pi/9
So if we convert that from radians to degrees we get 340 degrees.
To complete the table you will want to first write the equation.
You will need to find out what is happening to the time (number of hours) in order to get the distance.
You will use the numbers 3 and 120 to figure this out.
3 is multipled by 40. This means when you know the number of hours, you just multiply by 40 to find the distance.
When you know the distance, you divide by 40 to find the number of hours.
2 x 40 = 80
8 x 40 = 320
200/40 = 5
The equation is d = 40h.
Answer:
m
Step-by-step explanation:
The slope of a line is constant. This means no matter the two points on the line that you use to calculate the slope you will get the same number for the slope. Your equation is in slope-intercept form, y=mx+b where m is slope and b is y-intercept. So your equation is in that exact form with the same use of constant numbers m and b where m is slope and b is y-intercept.
So the answer is m.
However, we could use slope formula = change in y divided by change in x.
Change in y from x=2 to x=13 is [(m(13)+b)-m(2)+b)]=13m+b-2m-b=13m-2m+b-b=11m+0=11m.
Change in x is 13-2=11.
So the slope is 11m/11=m.
Answer:
The 99% confidence interval for the proportion of all students at this school who have their names written on their graphing calculators is (0.4652, 0.8148).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
A random sample of 50 students is selected, and of the students questioned, 32 had their names written on their graphing calculators.
This means that 
99% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
The lower limit of this interval is:
The upper limit of this interval is:
The 99% confidence interval for the proportion of all students at this school who have their names written on their graphing calculators is (0.4652, 0.8148).
Answer:
727.29 − 248.50 + x ≥ 500; x ≥ $21.21
Step-by-step explanation:
<em>Write down all the data given :</em>
Beginning amount : $727.29
Balance to be maintained : $ 500
Check : $248.5
Current balance = 727.29 - 248.5 = $478.79
<em>Tony must maintain a balance of $500 so he should have at least $21.21 more (500-478.79)</em>
727.29 - 248.5 + 21.21 = 500
500=500
<em>x can be 21.21 or greater than that which would maintain the balance of $500 or more.</em>
<em>Therefore the third statement is correct.</em>
727.29 − 248.50 + x ≥ 500; x ≥ $21.21
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