Answer:

Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.
Parallel lines have the same gradient. Hence the gradient of line r is
.
Susbt. m=
,

To find c, substitute a coordinate.
When x=3, y= -9,

-9= 1 +c
c= -9-1
c= -10
Thus the equation of line r is
.
Answer:
11 shirts
Step-by-step explanation:
Since 12 of the 45 minute are devoted to setup, the actual printing time is 33 minutes. At 3 minutes per shirt, that's enough time for ...
(33 min)/(3 min/shirt) = 11 shirts
A batch consists of 11 shirts.
_____
<em>Alternate solution</em>
Another way to consider this is to realize that the setup time is the time required to print 4 shirts. 45 minutes would be enough time to print 45/3 = 15 shirts, but the time for 4 shirts is spent setting up. That leaves the batch size at 15 -4 = 11 shirts.
Answer:
(I'll leave cm out to save space and time in the answer)
the perimeter is 500, there are 5 sides. so on average a side will be 100.
that's already the important key idea.
it's indeed 100 for the third side, the second will be 10 less, the fourth 10 more (making the 2and and the 4th side 200 in sum, and therefore still 100 on average).
repeat this for the 1. and 5. side and we get:
80
90
100
110
120
Answer:
The 95% confidence interval for the number of chocolate chips per cookie for Big Chip cookies is between 4.68 and 13.52.
Step-by-step explanation:
We have the standard deviation of the sample, so we use the students' t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 51 - 1 = 50
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 50 degrees of freedom(y-axis) and a confidence level of
). So we have T = 2.01
The margin of error is:
M = T*s = 2.01*2.2 = 4.42
In which s is the standard deviation of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 9.1 - 4.42 = 4.68
The upper end of the interval is the sample mean added to M. So it is 9.1 + 4.42 = 13.52
The 95% confidence interval for the number of chocolate chips per cookie for Big Chip cookies is between 4.68 and 13.52.
8668/25 + 4141/9 - 5533/25.....common denominator is 225
78012/225 + 103525/225 - 49797/225 =
181537/225 - 49797/225 =
131740/225 =
585 115/225 =
585 23/45
so the fraction part of the mixed number is 23/45