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MissTica
3 years ago
10

10) A new car is available in a sedan model and

Mathematics
1 answer:
Dafna11 [192]3 years ago
6 0

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.

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IrinaVladis [17]

Answer:

P (Even number)  =  1/2

P(spinner will land on an odd number) = 1/2

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Step-by-step explanation:

Here, while spinning the spinner total possible outcomes

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Now, \textrm{P(E)}  = \frac{\textrm{Number of favorable outcomes }}{\textrm{Total numberof outcomes}}

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Favorable outcomes are {2,4,6,8}

Hence, P(E) = \frac{4}{8}  = \frac{1}{2}

b)E: Probability  that the spinner will land on an odd number.

Favorable outcomes are {1,3,5,7}

Hence, P(E) = \frac{4}{8}  = \frac{1}{2}

c) E: Probability  that the spinner will not land on 2 or 3

Favorable outcomes are {1, 4,5,6,7,8}

Hence, P(E) = \frac{6}{8}  = \frac{3}{4}

d) E: Probability  that the spinner will not land on a multiple of 3

Favorable outcomes are {1,2,4,5,7,8}

Hence, P(E) = \frac{6}{8}  = \frac{3}{4}

3 0
3 years ago
A special box designed to hold an antique artifact is shaped like a triangular prism. The surface area of the box is 421.2 squar
Oksanka [162]
The area of the base is:
 A = root ((s-a) * (s-b) * (s-c) * (s))
 Where,
 a, b, c: sides of the triangle
 s = (a + b + c) / 2
 We have then:
 s = (9 + 9 + 9) / 2
 s = 13.5
 A = root ((13.5-9) * (13.5-9) * (13.5-9) * (13.5))
 A = 35.07
 Then, the surface area of the prism is:
 S.A = 2 * A + 9h + 9h + 9h
 Where,
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 Substituting values:
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 Clearing h:
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 h = (421.2 - 2 * (35.07)) / (27)
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 Answer:
 
the height of the box is:
 
h = 13 inches
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