Answer:
7088 m²
Step-by-step explanation:
The area of the half-cylinder is half the area of a cylinder with the same dimensions. This half-cylinder has a radius of 0.3 m and a length of 0.8 m, so its area is ...
A = πr(r +l) = π(0.3 m)(0.3 m+0.8 m) = 0.33π m² ≈ 1.0362 m²
The area of the bottom part of the box is the sum of its lateral area and its base area.
lateral area = Ph = (2(0.6m +0.8m))(0.75 m) = 2.1 m²
base area = lw = (0.8 m)(0.6 m) = 0.48 m²
The total area is then ...
total area = half-cylinder area + lateral area + base area
= 1.0362 m² +2.1 m² +0.48 m²
= 3.6162 m²
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The area for 1960 mailboxes will be 1960 times this area, or ...
area for week's production = 1960 × 3.6162 m² = 7087.752 m²
It will take about 7088 square meters of aluminum to make these mailboxes.
To find the area of the arena, you will need to find the areas of the rectangular spaces and the 2 semicircles. Because the formulas are given, I will just substitute in the values and show the work for finding the areas.
To find the perimeter, you will look at the distances of lines that take you around the space. Because two of these spaces are half circles, you will need to find the circumference of the full circle.
Also, the answers need to be given in meters, so all units given in centimeters will be divided by 100 to convert them to meters.
Perimeter:
C= 3.14 x 20 m
C = 62.8 meters
62.8 + 8 + 25 + 8 + 5 + 8 + 10 + 8 + 40= 174.8 meters for the Perimeter
Area:
A = 25 x 8
A = 200 square meters
A = 10 x 8
A = 80 square meters
A = 20 x 40
A = 800 square meters
A = 3.14 x 10^2
A = 314 square meters
Total Area: 314 + 800 + 80 + 200= 1394 square meters
Answer:
Z=-2
This value means that the score of Rachel 550 it's 2 deviations below the mean of the population 
Step-by-step explanation:
1) Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
represent the population mean for the Graduate Record Exam (GRE)
represent the population standard deviation for Graduate Record Exam (GRE)
2) Solution to the problem
Let X the random variable that represent the Graduate Record Exam (GRE) of a population, and for this case we know the distribution for X is given by:
Where and
We want to find the z score for a score of 550. And in order to do this we need to apply the formula for the z score given by:
If we apply this formula to our probability we got this:
So the answer for our case would be Z=-2
This value means that the score of Rachel 550 it's 2 deviations below the mean of the population
Answer:
15° and 100°
Step-by-step explanation:
3 × 5 = 15, 20 × 5 = 100. So the other two angles measure 15° and 100°.
