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Vikentia [17]
3 years ago
12

A television game has 6 shows doors, of which the contests must pick 2. behind two of the doors are expensive cars, and behind t

he other 4 doors are consolation prizes. Find the probability that the contestant wins exactly 1 car? no car? or atleast one car?
what if they had to pick 3 doors? and all of the other information wast the same
Mathematics
1 answer:
Katyanochek1 [597]3 years ago
3 0
The answer to this question:
One car probability 82/120
No car probability = 24/120
At least one car probability= 96/120

I will focus answering the 3 doors probability since the 2nd door problem is solved in the previous problem. (brainly.com/question/5761449)

No car condition
1. 1st door consolation, 2nd door consolation=, 3rd door consolation= 4/6 * 3/5 * 2/4= 24/120
This was also can be found by: (4!/1!)/ (6!/3!) = 24/120

(At least one car probability)  is the opposite of (no car probability) In this case, the easier way is 
100% - (no car probability) = 120/120 - 24/120= 96/120

One car probability is (At least one car probability) - (2 car probability). It will be easier to count the 2 car probability and subtract the (At least one car probability) 
Two car condition:
1. 1st door car, 2nd door car, 3rd door consolation = 2/6 * 1/5 * 4/4 =8/ 120
2.1st door car, 2nd door consolation, 3rd door car =2/6 * 4/5 * 1/4 = 8/120
3. 1st door consolation, 2nd door car, 3rd door car= 4/6 * 2/5 * 1/4= 8/120
The total probability will be 8/120+ 8/120 + /120= 24/120
This was also can be found by: (2!) (4!/2!)/ (6!/3!) = 24/120

One car probability =  (At least one car probability) - (2 car probability)= 96/120-24/120= 82/120
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So Sahra is 3 times as old as her daugter. That means that the sum of their age is the daughters age times 4.
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2/3=1.2/x solve for x
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First isolate x by multiplying by x on both sides.  It will look like this:

(2/3)x=1.2

Then devise by (2/3) on both sides to get:

x= 1.2/(2/3)

The easiest way to get this is plug that into a calculator and get the answer:

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What are the domain and range of the function f(x)=(√x-7)+9?
Yanka [14]

Answer:

the domain of the function f(x) is x\ge 7

the range of the function f(x) is f(x)\ge 9

Step-by-step explanation:

Consider the parent function y=\sqrt{x}.

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The function f(x)=\sqrt{x-7}+9 is translated function y=\sqrt{x} 7 units to the right and 9 units up, so

the domain of the function f(x) is x\ge 7

the range of the function f(x) is f(x)\ge 9

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The table shows ordered pairs of the function y = 16 0. 5x. A 2-column table with 6 rows. The first column is labeled x with ent
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Option 3 is the correct answer. The missing values of (x, y) is (8, 20).

<h3>How do you find out the values?</h3>

Given that the function is,

y = 16 + 0.5x

The function is a linear equation that can be solved graphically. The values of both variables x and y can be found on different points along with the straight-line graph.

Also, for every value of x, there is a corresponding value of y.

For the given options, we put the values of x to find the corresponding value of y.

For option 1, put x = 0 in the given function,

y = 16 + 0.5\times 0\\y = 16

But for x=0, y= 18, hence option 1 is not correct.

For option 2, put x = 5 in the given function,

y = 16 + 0.5\times 5\\y = 18.5

But for x=5, y= 19.5, hence option 2 is not correct.

For option 3, put x = 8 in the given function,

y = 16 + 0.5\times 8\\y = 20

But for x=8, y= 20, hence option 3 is the correct answer.

Hence we can conclude that option 3 is the correct answer. The missing values of (x, y) is (8, 20).

To know more about the function, follow the link given below.

brainly.com/question/5245372.

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2 years ago
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Vanyuwa [196]

Answer:

y=14x-12

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