Answer:
352cm²
Step-by-step explanation:
The shape is a cuboid and it has 6 faces, and the opposite faces are equal, so I calculate 3 different faces and multiplied it by 2 to give me the total surface area. Therefore, total surface area = the addition of all the surface areas in the shape. And to get each surface area, you have find the area of each of the 6 faces, and add them together, to give you the total surface area.
A linear equation in slope-intercept form from two points is given by (y - y1)/(x - x1) = (y2 - y1)/(x2 - x1).
Here, y1 = 2200, x1 = 12, y2 = 3000 and x2 = 10, then
(y - 2200)/(x - 12) = (3000 - 2200)/(10 - 12)
(y - 2200)/(x - 12) = 800/-2 = -400
y - 2200 = -400(x - 12)
y = -400x + 4800 + 2200
y=-400x+7000
<h3>
Answer: 8.323 (approximate)</h3>
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Explanation:
s = 32 = sample standard deviation
n = 40 = sample size
Despite not knowing the population standard deviation (sigma), we can still use the Z distribution because n > 30. When n is this large, the student T distribution is approximately the same (more or less) compared to the standard Z distribution. The Z distribution is nicer to work with.
At 90% confidence, the z critical value is roughly z = 1.645. This can be found using either a Z table or a calculator.
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We have these values:
- z = 1.645 (approximate)
- s = 32
- n = 40
Plug these values into the margin of error formula.
![E = z*\frac{s}{\sqrt{n}}\\\\E \approx 1.645*\frac{32}{\sqrt{40}}\\\\E \approx 8.32311480156318\\\\E \approx 8.323\\\\](https://tex.z-dn.net/?f=E%20%3D%20z%2A%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%5C%5C%5C%5CE%20%5Capprox%201.645%2A%5Cfrac%7B32%7D%7B%5Csqrt%7B40%7D%7D%5C%5C%5C%5CE%20%5Capprox%208.32311480156318%5C%5C%5C%5CE%20%5Capprox%208.323%5C%5C%5C%5C)
The margin of error is roughly 8.323
I rounded to 3 decimal places because z = 1.645 is rounded to 3 decimal places. If your teacher wants some other level of precision, then be sure to follow those instructions.
Step-by-step explanation:
The length of a rectangle, l = 3 units
The breadth of a rectangle, b = 4 units
Nancy needs to increase both the length and the width of the rectangle by 2 units.
The area of a rectangle is given by
A = length(l) × breadth(b)
Here,
A = 3 × 4
= 12 unit²
If both length and width of the rectangle increase by 2 units,
New length = (4+2) = 6 units
New width = (3+2) = 5 units
New area = 6 × 5 = 30 unit²
Hence, new area becomes 30 unit².