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Morgarella [4.7K]
3 years ago
8

At a carnival you win a prize if you get a heads, you must first choose a coin. There is a fair and a biased coin, while choosin

g each coin is equally likely, the biased coin has a 74% of landing tails. What is the probability of choosing the biased coin if you won a prize. a. 0.2600 b. 0.5968 c. 0.3421 d. 0.5243 e. None of the above
Mathematics
1 answer:
Marta_Voda [28]3 years ago
5 0

Answer:

c. 0.3421

Step-by-step explanation:

The computation of the probability of selecting the biased coin is shown below:

The probability of any coin selected is 1 ÷ 2

The probability in the case when the biased coin chosen & wins 1 ÷ 2 (1 - 0.74)

And, the win probability is 1 ÷ 2  (1 - 0.74) + 1 ÷ 2  (1 - 0.5)

Now the probability of biased or win is

=  {1 ÷ 2 (1 - 0.74)} ÷ { 1 ÷ 2  (1 - 0.74) + 1 ÷ 2  (1 - 0.5)}

= 0.13 ÷ 0.38

= 0.3421

Hence, the correct option is c. 0.3421

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At RSM summer camp 100 students had enough food for a 30-days stay. After 2 days 40 new students joined the camp. After that 2 w
omeli [17]

Answer:

"no additional days of food need to be ordered."

Step-by-step explanation:

Suppose initial quantity of food is x units

Assuming each student eats 1 unit of food per day,

x = 30 * 100 = 3000 units of food

In 2 days, food eaten:

100 * 1 * 2 = 200 units

So food left after 2 days is  3000 - 200 = 2800 units

Now, there are 140 students. They stay 2 weeks (14 days) - 2 = 12 more days

So food eaten in 12 days:

140 * 1 * 12 = 1680 units

<u>THus, after total 14 days gone, the amount of food left is:</u>

2800 - 1680 = 1120 units

Half students left, so there are 70 students left for the last 16 days. How much food would they need?

70 * 1 * 16 = 1120 units

And there are exactly 1120 units left. So, no additional days of food need to be ordered.

6 0
3 years ago
(b) Develop a probability distribution for x y. x y f(x y) 130 Incorrect: Your answer is incorrect. 80 Incorrect: Your answer is
GenaCL600 [577]

Answer:

P(X = x, Y = y) = f(x, y)

Step-by-step explanation:

Let X be a discrete random variable, and suppose that the possible values that it can assume are given by x1, x2,  x3, . . . , arranged in some order. Suppose also that these values are assumed with probabilities given by

P(X = xk) = f(xk)                k = 1, 2, . . . (1)

It is convenient to introduce the probability function, also referred to as probability distribution, given by

P(X = x) = f(x)

If X and Y are two discrete random variables, we define the joint probability function

of X and Y by

P(X = x, Y = y) = f(x, y)

where f(x, y) ≥ 0

5 0
3 years ago
Help me please,Thanks
alisha [4.7K]
Answer:  The width is:  " 10 in. " .
________________________________________________
Explanation:
________________________________________________
Consider a "rectangular prism".
________________________________________________
The formula for the Volume of a rectangular prism:
________________________________________________
  
    V = L * w * h ; 
_________________________________________________
                 in which:
 
                     V = volume = 120 in.³ ;
                     L  = length  =  8 in.
                     w = width   =  ??
                     h = height  =  1.5 in.
____________________________________________
We want to solve for "w" (width) ;
____________________________________________
Given the formula:
____________________________________________
 
   V = L * w * h ; 
____________________________________________
Rewrite the formula; by dividing EACH SIDE of the equation by
   "(L * h)" ; to isolate "w" on one side of the equation;
                 and to solve for "w" ;
_____________________________________________
  →  V / (L * h) = ( L * w * h) / (L * h) ; 

to get:
_________________________________
     →  V / (L * h) =  w ; 

       ↔ w = V / (L * h) ;
_________________________________
Plug in our given values for "V", "L"; and "h"; to solve for "w" ; 
____________________________________________________
       → w = (120 in.³) / (8 in. * 1.5 in.) ;
    
       → w = (120 in.³) / (12 in.²) ;
 
       → w = (120/12) in. = 10 in.
____________________________________________________

8 0
3 years ago
This question is for only  the smart students
olga_2 [115]
<span><span><span><span><span><span><span><span><span><span><span>5<span>a<span>−3</span></span></span><span>b2</span></span><span>(9)</span></span><span>a4</span></span><span>b6</span></span><span>(3)</span></span><span>a2</span></span><span>b3</span></span><span>(10)</span></span>a</span><span>b2</span></span><span>=<span><span><span>1350<span>a7</span></span><span>b13</span></span><span>a3</span></span></span><span>=<span><span>1350<span>a4</span></span><span>b<span>13</span></span></span></span>
7 0
3 years ago
Which of the following shows 9x^2y - 4x + 3y^3x - 2y^2 written in standard form? A. 9x2y - 4x + 3y3x - 2y2 B. 3y3x - 2y2 + 9x2y
nlexa [21]
D. 3 y^{3}x+9 x^{2} y-2 y^{2} -4x

Take each term and find the degree of the term and then put them in order from highest to lowest:
y^{3}x=3+1=4
x^{2} y=2+1=3
y^{2}=2
x=1

Remember a letter without an exponent is assumed to be a 1.

Hope that helps.
6 0
3 years ago
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