Answer:
a) 0.32
b) 0.68
c) Office or den
Step-by-step explanation:
a) The likelihood that a personal computer is located in a bedroom can be calculated by adding the probabilities of it being in an adult bedroom, child bedroom, or another bedroom:
b) The probability of a PC not being located in a bedroom is found by calculating 100% minus the probability of it being in a bedroom:
c) The expected location for finding a personal computer in a randomly selected household is derived from the room most likely to contain a PC according to Consumer Digest. The Office or den ranks as the most likely place with a probability of 0.40.
A PC would most likely be found in the Office or den.
In this case, the dimensions of 12 inches in width and 4 inches in length are not crucial for solving the problem. An equation has been provided already, and it clearly states that A, as a function of θ, represents the area of the opening. We are specifically instructed to find this area, and the value of θ has been given. Therefore, the initial details seem to serve merely as a distraction.
Hence, we can directly substitute θ=45° into the given function.
A = 16 sin 45° ⋅ (cos 45° + 1)
Since 45° is a notable angle in trigonometry, remembering its functions is straightforward. The sine of 45° is √2/2, and the cosine of 45° is also √2/2.
A = 16(√2/2) ⋅ (√2/2 + 1)
A = 8 + 8√2
A = 19.31 square inches
Answer: d. AB = CD and BC = AD
Step-by-step explanation:
A parallelogram is defined as a four-sided figure with the following characteristics:-
- Opposite sides are equal (AB = CD and BC = AD
).
- Opposite angles are equal (∠A=∠C and ∠D=∠B).
- Consecutive angles are supplementary (∠A + ∠D = 180°).
- The diagonals bisect one another.
- If one angle is a right angle, then all angles are right angles.
The solution for y is y = \frac{a}{3(3 + x)}
Answer: The correct formulation is option A.)A = x(x − 4) − 0.5(8)(x − 4) − 4(8)
Step-by-step explanation:
To calculate the area that needs painting in the theater room in square feet, follow these steps:
1. Calculate the area of the theater room
Length: x
Width: x-4
A (area of theater room) = x (x-4)
2. Calculate the area of the right triangle
Height: x-4
Base: 8
A (area of right triangle) = 0.5 (8) (x-4)
3. Calculate the area of the rectangle designated as a closet
Length: 8
Width: 4
A (closet) = 8 (4)
4. The painted area is calculated by subtracting the areas of the right triangle and the closet from the total area of the theater room:
A= A(theater room) - A(right triangle) - A (closet)
A = x (x-4) -0.5 (8) (x - 4) - 4 (8)
Thus, the proper equation to compute the area is option A.
