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4 years ago

14

a certain game consists of rolling a single fair die and pays off as follows: $5 for a 6, $2 for a 5, $1 for a 4, and no payoff

otherwise. find the expected winnings for this game.

1 answer:

lorasvet [3.4K]4 years ago

7 0

E(winnings) = (5 x (1/6)) + (2 x (1/6) + (1 x (1/6)) = 5/6 + 2/6 + 1/6 = 8/6 = $1.33

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A motorist completes a journey in 45 minutes covering a distance of 75km at what speed did he travel

Tomtit [17]

Answer:

100KM PER HOUR

Step-by-step explanation:

Have a nice day

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3 years ago

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if you vertically stretch the linear parent function, f(x)=x, by a factor of 12, what is the equation of the new function

Vsevolod [243]

The answer would be f(x)=12x

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3 years ago

Against the wind a commercial airline in South America flew 630 miles in 3.5 hours. With a tailwind the return trip took 3 hours

Salsk061 [2.6K]

Answer:

The speed of plane is $195\ mph$ , and speed wind is $15\ mph$ .

Step-by-step explanation:

Given against the wind the airline flew $630$ miles in $3.5$ hours.

including the tailwind the return trip took $3$ hours.

Let speed of plane is $x$ .

Also, speed of the wind is $y$ .

Now, we will find speed on each case.

Speed against the wind is $\frac{630}{3.5}=180\ mph$

Speed with the wind is $\frac{630}{3}=210\ mph$

Now, we will write the equation

$x+y=210\\x-y=180$

Add these equation we get,

$2x=390\\x=\frac{390}{2}\\x=195\ mph$

Now, plug this value in $x+y=210$ to get speed of wind

$195+y=210\\y=210-195\\y=15\ mph$

So, the speed of plane in still air is $195\ mph$ , and speed of the wind is $15\ mph$ .

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3 years ago

What is the difference of the polynomials?

olya-2409 [2.1K]

Answer:

2x³ + 2x

Step-by-step explanation:

(x² + x³ + x² + x) - (x² - x³ + x² - x)

= x² + x³ + x² + x - x² + x³ - x² + x

Gathering like terms...

x³ + x³ +x² + x² -x² - x² + x + x

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6 0

2 years ago

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According to a recent survey of adults, approximately 62% carry cash on a regular basis. The adults were also

pochemuha

According to the probabilities given, it is found that the correct option regarding the independence of the events is given by:

No, P(carry cash) != P(carry cash|have children).

<h3>What is the probability of independent events?</h3>

If two events, A and B, are independent, we have that:

$P(A \cap B) = P(A)P(B)$

Which also means that:

$P(A|B) = P(A)$

$P(B|A) = P(B)$

In this problem, we have that:

62% carry cash on a regular basis, hence P(cash) = 0.62.

46% has children, hence P(children) = 0.46.

Of the 46% who have children, 85% carry cash on a regular basis, hence P(cash|children) = 0.85.

Since P(carry cash) != P(carry cash|have children), they are not independent.

More can be learned about the probability of independent events at brainly.com/question/25715148

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2 years ago