Answer:
6. Because to decrease = number × 100-% over 100(as a fraction)
which is =39.99 ×100-30% over 100
= 39.99 × 70/100
=27.993
After you take your answer from the decrease and subtract from the original price which is 39.99
39.99-27.993 *note the 39.99 has a zero at the end
the answer = 11.997 Rounded off it becomes 12
Answer:
Critical value: T = 2.8314
The 99% confidence interval for the population mean iron concentration is between 0.364 cc/m³ and 0.454 cc/m³
Step-by-step explanation:
We are in posession of the sample's standard deviation. So we use the student 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 = 22 - 1 = 21
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 21 degrees of freedom(y-axis) and a confidence level of . So we have T = 2.8314, which is the critical value that should be used in constructing the interval.
The margin of error is:
M = T*s = 2.8314*0.016 = 0.045
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 0.409 - 0.045 = 0.364 cc/m³
The upper end of the interval is the sample mean added to M. So it is 0.409 + 0.045 = 0.454 cc/m³
The 99% confidence interval for the population mean iron concentration is between 0.364 cc/m³ and 0.454 cc/m³
<u>Question Completion</u>
- Box A, The rectangular prism is of dimension 3 inch by 4 inch by 10 inch
- Box B, the Triangular prism has a base triangle of base 8 inch and height 3 inch. The length of the triangular prism is 6 Inch
See attached diagram
Answer:
Box B
Step-by-step explanation:
To determine the box which is made with less cardboard, we calculate the Total Surface Area of each box.
<u>Rectangular Prism(Box A)</u>
Total Surface Area=2(LW+LH+WH)
=2(10x4+10x3+3x4)
=
2(40+30+12)
=2(82)
Total Surface Area of Box A = 164 square inches
<u>Triangular Prism (Box B
)</u>
Total Surface Area=2(Area of Triangle)+Area of Base rectangle+2(Area of side rectangles)
=2(0.5X3X8)+(8X6)+2(5X6)
=24+48+60
=132
Total Surface Area of Box B = 132 square inches
Since the total surface area of Box b is lesser,Box B is made with less cardboard .
2/33 is the answer to the question