Answer:
Step-by-step explanation:
Information provided
n=100 represent the random sample taken
X=21 represent the number of bags overfilled
estimated proportion of overfilled bags
is the value that we want to test
z would represent the statistic
Hypothesis
We need to conduct a hypothesis in order to test if the true proportion of overfilled bags is higher than 0.15.:
Null hypothesis:
Alternative hypothesis:
The statistic for this case is:
(1)
And replacing the info given we got:
Step-by-step explanation:
the surface area consists of 6 individual areas :
front and back (both are equal)
left and right (both are equal)
top and bottom
front and back are trapezoids.
the area of a trapezoid is
(base 1 + base 2)/2 × h
the bases are the 2 parallel sides.
in our case the area of one trapezoid is
(5 + 19)/2 × 12.1 = 145.2 ft²
front and back together then are 290.4 ft².
left and right are 8×14 rectangles:
8×14 = 112 ft²
together they are 224 ft².
the bottom is a 5×8 rectangle :
5×8 = 40 ft²
the top is a 19×8 rectangle :
19×8 = 152 ft²
so, the total surface area is
290.4 + 224 + 40 + 152 = 706.4 ft²
Answer:
60
Step-by-step explanation:
Answer:
$195.30
Step-by-step explanation:
$180 + 8.5 = $195.30
Well you see partition means to separate or divide. A line segment with end points a and b can be partioneded by another point by a given ratio, and a ratio is a comparison of two numbers. For other ratios besides 1:1 , it is necessary to determine the total number of parts that the line segment must be divided into. So in your case the point is 5:7 so you to determine the point that divides your line segment you just simply add the figure 5 a and the figure 7 together and you should end up with the sum of 12.
