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umka21 [38]
2 years ago
6

Two candies are chosen randomly from a bag of Valentine’s Day candy containing 8 Snickers (S), 4 Peanut Butter Cups (P), and 2 B

aby Ruths (B). Suppose that we win $2 for each S, no win or lose for each B and we lose $1 for each P selected. Let X denote our winnings. (a) What is the state space of X? (b) What is the probability mass function of X?
Mathematics
1 answer:
Alexxandr [17]2 years ago
5 0

Answer:

s

Step-by-step explanation:

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What are the x-intercepts of the function f(x) = –2x2 – 3x + 20?
Hatshy [7]

The root sof this quadratic equation are -4 and 2.5.


The roots of any quadratic can be found by using the quadratic equation. The equation is below for you.


\frac{-b +/- \sqrt{b^{2}- 4ac}}{2a}


In this equation you use the number attached to x^2 as the a, which in this case is -2. The number attached to x as b, which is in this case -3. And the number at the end as c, which is 20. From there you solve for the answers.


\frac{3 +/- \sqrt{-3^{2}- 4(-2)(20)}}{2(-2)}

\frac{3 +/- \sqrt{9 + 160}}{-4}

\frac{3 +/- 13}}{4}


Now you separate and get the two separate answers. First the positive.


\frac{3 + 13}}{4}

\frac{16}}{4}

4


Now the negative


\frac{3 - 13}}{4}

\frac{-10}}{4}

-2.5

5 0
2 years ago
Read 2 more answers
There are four nickels and seven dimes in your pocket. One of the nickels and one of the dimes are Canadian. The others are US c
natima [27]

Answer:

  8/11

Step-by-step explanation:

Only 3 of the nickels are neither dimes nor Canadian. The other 8 of 11 coins are dimes or Canadian. The probability of choosing one of them at random is 8/11.

8 0
2 years ago
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Trevin puts 8 gallons of gas in his car and pays $22, ate this rate what is the cost for 9 gallon of gas
Pepsi [2]

Answer:

$24.75

Step-by-step explanation:

22/8= $2.75 per gallon

2.75*9= 24.75

4 0
2 years ago
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Miyoko's goal is to earn more than \$950$950dollar sign, 950 this week. She earns \$250$250dollar sign, 250 for every day she wo
GrogVix [38]

$250 c+ $ 180 g > $ 950

<u>Step-by-step explanation:</u>

As a cryptographer (c), Miyoko earns per day = $ 250

As a geologist (g) , Miyoko earns per day = $ 180

So the equation comes to be $250 c+ $ 180 g = $ 950

The equation can be rewritten to find c as, (950-180 g) / 250

The equation can be rewritten to find g as, (950 - 250 c) / 180

Plugin different values of c and g in the above 2 equations, we can find that ,

To achieve the goal, Miyoko requires to be a geologist for 3 days and crpytographist for 2 days.

5 0
2 years ago
The Magazine Mass Marketing Company has received 14 entries in its latest sweepstakes. They know that the probability of receivi
pav-90 [236]

Answer:

0.8759 is the probability that no less than 4 of the entry forms will include an order.    

Step-by-step explanation:

We are given the following information:

We treat subscription order with an entry form as a success.

P(subscription order with an entry form) = 0.4

Then the number subscription order with an entry form follows a binomial distribution, where

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 14

We have to evaluate:

P(x \geq 4) =1 - P(x = 0) - P(x = 1) - P(x = 2) - P(x = 3) \\= 1 - (\binom{14}{0}(0.4)^0(1-0.4)^{14} + \binom{14}{1}(0.4)^1(1-0.4)^{13} + \binom{14}{2}(0.4)^2(1-0.4)^{12} + \binom{14}{3}(0.4)^3(1-0.4)^{11})\\=1-(0.0007+0.0074+0.0317+0.0846)\\= 0.8756

0.8759 is the probability that no less than 4 of the entry forms will include an order.

6 0
2 years ago
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