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Alexeev081 [22]
3 years ago
5

Identify the vertex of the parabola y = x^2-2x-3

Mathematics
1 answer:
melisa1 [442]3 years ago
7 0

Answer:

(2, -3)

Step-by-step explanation:

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Lin has some money in her bank account before she starts a summer job. She
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$8.80 per hour

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Consider a bettering game where you bet $10 and have a probability of 0.45 of getting $20 back ($10 more than you started with)
Marina CMI [18]

Answer:

(a)

f(x) = P(X=x) = \begin{Bmatrix} 0.45 \,\,\, \text{for}  \,\,\, x = 10 \\ 0.55 \,\,\, \text{for}  \,\,\, x = -10 \end{matrix}

(b)

-1

(c)

30

Step-by-step explanation:

(a)

Your random variable will have two possible values, 30 and 0, one of them with a probability of 0.45 and the other one with a probability of 0.55. Therefore it looks like this.

f(x) = P(X=x) = \begin{Bmatrix} 0.45 \,\,\, \text{for}  \,\,\, x = 10 \\ 0.55 \,\,\, \text{for}  \,\,\, x = -10 \end{matrix}

(b)

The expected value of this PMF would be

E[X] = -10*0.55+10*0.45= -1 therefore on average you will have a dollar less.

(c)

For this one, if you play 20 times and your initial amount is 50$ then you have to compute the following expectation.

E[50+20*X] = 50+20*E[X] = 50-20 = 30

7 0
3 years ago
there are some pets in a pet shop. 36% of them are rabbits, 28% of them are dogs and the rest are hamsters. If there are 160 dog
guapka [62]

Answer:

250

Step-by-step explanation:

36% are rabbits, and 28% are dogs.  That means the percent that are hamsters is:

100% − 36% − 28% = 36%

There are 160 dogs and hamsters, which are 28% + 36% = 64% of the pets.  Therefore, we can write and solve a proportion:

160 / 64% = x / 100%

x = 250

There are a total of 250 pets.

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3 years ago
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