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solniwko [45]
3 years ago
6

Suppose that 1/2 of all cars sold at a Nissan dealer in a given year are Altimas, 1/3 are Maximas, and the rest are Sentras. Sup

pose that 3/4 of the Altimas, 1/2 of the Maximas, and 1/2 of the Sentras have a moon roof. Answer the following questions. For each question, first decide whether the probability is a conditional probability or not.1. What is the probability a randomly selected car has a moon roof?
2. What is the probability that a randomly selected car has a moon roof given it is a Sentra?
3. What is the probability a randomly selected car is a Maxima if it has a moon roof?
Mathematics
1 answer:
IRINA_888 [86]3 years ago
5 0

Answer:

(1) Not conditional, 5/8

(2) Not conditional, 1/12

(3) Conditional, 1/18

Step-by-step explanation:

Fraction of cars sold

Altima = 1/2

Maxima = 1/3

Sentra = 1 - (1/2 + 1/3) = 1 - 5/6 = (6 - 5)/6 = 1/6

Fraction of cars sold with moon roof

Altima = 3/4 × 1/2 = 3/8

Maxima = 1/2 × 1/3 = 1/6

Sentra = 1/2 × 1/6 = 1/12

(1) Probability (a randomly selected car has a moon roof) = 3/8 + 1/6 + 1/12 = (9+4+2)/24 = 15/24 = 5/8

(2) Probability (a randomly selected car has a moon roof given it is Sentra) = 1/12

(3) Probability (a randomly selected car is a Maxima if it has a moon roof) = 1/3 × 1/6 = 1/18

A conditional probability uses if (as a condition) in making statements or asking questions

An unconditional probability makes statement or ask question without the use of condition (if)

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7 0
3 years ago
Help Please.. 1 /2x + y = 4 What is the x-intercept? What is the y-intercept?
IgorC [24]

Answer:

x - intercept = 8

y - intercept = 4

Step-by-step explanation:

In order to to find x- intercept, plug y = 0, in the given equation of line.

\frac{1} {2} x+y = 4\\\\\frac{1} {2} x+0 = 4..(plug \: y = 0)\\\frac{1} {2} x = 4\\x = 2\times 4\\x = 8\\\huge \red {\boxed {\therefore x-intercept = 8}}

In order to to find y- intercept, plug x = 0, in the given equation of line.

\frac{1} {2} x+y = 4\\\\\frac{1} {2} \times 0+y = 4..(plug \: x = 0)\\0+y = 4\\y = 4\\\huge \purple {\boxed {\therefore y-intercept = 4}}

8 0
3 years ago
B) y = log2 (4" - 4)<br> find the inverse of this equation
GuDViN [60]

Answer:

y =  \frac{1}{4}  \times  {2}^{x}  - 1

Step-by-step explanation:

Assuming the given logarithmic equation is

y =   \log_{2}( {4}{x }  - 4)

We interchange x and y to get:

x=   \log_{2}( {4}{y} - 4)

We solve for y now:

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We add 4 to both sides to get;

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3 years ago
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A "regular quadrilateral" is a square, so the length and width are both 4 cm. The surface area of a rectangular prism is given by
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The surface area of the prism is 128 cm².


6 0
2 years ago
Use the arc length formula and the given information to find r. s = 12 cm, 0 = 360; r = ?
hjlf
use s=r0

but first convert 360 degree to radian
you will get 6.284 radian

then you substitute and get the answer!

12= r (6.284)
r= 1.91 cm
8 0
2 years ago
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