La fille a mudane guah garcon la homme la femme. 6/9
Answer:
a)Let the number of avocados that I brought be a and number of oranges be r.
b) a+r=28 ---(1)
a+2r=44 ---(2)
c) a+r=28
a=28-r ---(3)
sub (3) into (2), 28-r+2r=44
r=16
sub r=16 into (3), a=28-16
a=12
∴ I brought 12 avocados and 16 oranges.
The circle has radius 6 feet, so its total circumference is 2<em>π</em> • (6 ft) = 12<em>π</em> ft.
As an arc, the complete circle corresponds to a central angle of 2<em>π</em> radians. So the red arc corresponds to a central angle <em>θ</em> such that
<em>θ</em> / (15 ft) = (2<em>π</em> rad) / (12<em>π</em> ft)
Then
<em>θ</em> = (15 ft) • (2<em>π</em> rad) / (12<em>π</em> ft) = 15/6 rad = 2.5 rad
The z score for a confidence level of 99% is 2.575.. You need to know this to complete this type of problem.. the other two commonly used confidence levels are 90% and 95% having z scores of 1.645 and 1.96 respectively. You need to memorize this!
To find the confidence interval, it will be defined as the sample mean plus/minus the margin of error.. Now to find the margin of error, divide the standard deviation of 12 by the square root of the number of elements in your sample(√250). Then take that result and multiply it by the Z score I mentioned above for a 99% confidence level.
In this case: the sample mean is 70 and the margin of error is approximately 1.95
So to calculate the confidence interval, do the following:
70 - 1.95 = 68.05 rounded to the nearest whole number is 68
70 + 1.95 = 71.95 rounded to the nearest whole number is 72
Looks like that would be the last choice. hope this helps.. it's been awhile since my work with statistics :-)
Katie has equation 
and wants to solve it completing the perfect square. In order to do it, first rewrite 7 in right side:
Then note that 
so Katie has to add 
to both sides (because 
):
Answer: correct choice is C.
