Answer:
Option (C) n = 256
Therefore, there are 256 ways to select a car with 2 car models, 8 different colors and any combinations of 4 optional features.
Step-by-step explanation:
A new car is available in a sedan model and a hatchback model.
So that means customers can select the model of the car in,
n₁ = 2 ways
It is available in eight different colors.
After selecting the model, customers can select the color of the car in,
n₂ = 8 ways
Customers can choose to add any combination of four optional features.
After selecting the color, customers have the choice to add any combination of 4 optional features,
n₃ = 4² = 16 ways
Which means that there are 16 different ways to add 4 optional features e.g.
1. 0, 0, 0, 0
2. 0, 0, 0, 1
3. 0, 0, 1, 0
4. 0, 0, 1, 1
and the list goes on to 16 different ways.
Now the total ways to select a car is given by
n = n₁*n₂*n₃
n = 2*8*16
n = 256
Therefore, there are 256 ways to select a car with 2 car models, 8 different colors and any combinations of 4 optional features.
Answer:
Not sure sorry,but can you please help me on the following:
Step-by-step explanation:
Length of a rectangle is 5 cm longer than the width. Four squares are constructed outside the rectangle such that each of the squares share one side with the rectangle. The total area of the constructed figure is 120 cm2. What is the perimeter of the rectangle?
If we're trying to find the hypotenuse we'll take the
Getting 35.
35
Answer:
278.25 cm2
Step-by-step explanation:
If the width of the rectangle is x (cm), as the length is 8cm longer, so that the length of the rectangle is: x + 8 (cm).
In the attached image, we can see the length of each side. Total length of the sides are 90 cm.
=> (x + x + 8) + x + 8 + (x+8) + (x + x + 8) + x + 8 + (x +8) = 90
=> 8x + 48 = 90
=> 8x = 90 - 48 = 42
=> x =42/8 = 5.25 (cm)
=> The width of the rectangle is 5.25cm
=> The length of the rectangle is: 5.25 + 8 = 13.25 cm
=> The area of one rectangle is: Length x Width = 5.25 x 13.25 = 69.5625 cm2
As the 8-sided shape is made from 4 rectangles, so that:
Area of 8 sided shape = 4 x Area of the rectangle = 4 x 69.5625 = 278.25 cm2
Answer:
Squaring both the sides, we get a quadratic and solving it, we find that the possible values of x are -7 and -4.
Step-by-step explanation:
The expression can be written as √(x+8) - 6 = x. Take 6 on the other side and square both the sides.
[√(x + 8)]² = (x + 6)²
x + 8 = x² + 12x + 36
x² + 11x + 28 = 0
x² + 7x + 4x + 28 = 0
(x + 7)(x + 4) = 0
x = -7 and x = -4
The possible values of x are -7 and -4.
For more explanation, refer the following link:
brainly.com/question/10572241
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