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Brut [27]
3 years ago
10

12 ducks fly overhead. Each of 6 hunters picks one duck at random to aim at and kills it with probability 0.6. What's the expect

ed number of hunters who hit the duck they aim at?
Mathematics
1 answer:
nexus9112 [7]3 years ago
6 0

Answer:

The expected number of hunters who hit the duck they aim at is 3.6

Step-by-step explanation:

Given;

number of hunters, n = 6

the probability of killing a duck, p = 0.6

The expected number of hunters who hit the duck they aim at?

In binomial distribution, the expected value is equal to the product of the number of trials and the probability of success.

The expected number of hunters who hit the duck they aim at is calculated as follows;

E = np

E = 0.6 x 6

E = 3.6

Therefore, the expected number of hunters who hit the duck they aim at is 3.6

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What is the solution to 3|x + 3| = 12?
Neporo4naja [7]

Step-by-step explanation:

3(x+3)=12

3x+9=12

3x=12-9

3x=3

x=1

7 0
3 years ago
PLEASE HELP I WILL GIVE BRAINLEST
nadya68 [22]

OK.  All the work is in the attached drawing.

Please spend enough time with it to understand what was done and how, so that you can do the next problem like this one completely on your own.

Good luck !

==============================

Here's a picky pickypoint to think about concerning the "cost".  I'm not quite sure what to do about this:

The initial, one-time $55 is a "deposit".  If she doesn't smash the bike or steal it, she gets the $55 back when she returns the bike.  

So if she eventually gets the $55 back, <u><em>is it a cost</em></u> ? ?  I don't know how to think about it.

She does need to <em>give</em> them the $55 at the beginning, just to take the bike out.  So she has to have it with her and give it to them temporarily, even though she'll  get it back, and she'll still have it when she returns home.

So here's the story:  

-- While she HAS the bike, the graph correctly shows all the money she needs, in order to get the bike, and keep it for however long she keeps it.

-- Finally, at the end of the week, after she returns the bike and gets her $55 back, the line and everything on the graph will shift down by $55.  The line will start at zero, and the little red ordered pairs will also shift straight down and still be on the line.

To put it one more way:

-- While Jen has the bike, the y-intercept of the graph is $55.

-- After she returns the bike in good condition, the y-intercept is zero.

6 0
3 years ago
How do you know what to split 26 into ?
madam [21]

Answer:

see explanation

Step-by-step explanation:

Assuming you are factoring the expression

Given

4y² + 26y + 30 ← factor out 2 from each term

= 2(2y² + 13y + 15) ← factor the quadratic

Consider the factors of the product of the coefficient of the y² term and the constant term which sum to give the coefficient of the y- term.

product = 2 × 15 = 30 and sum = 13

the factors are 10 and 3

Use these factors to split the y- term

2y² + 10y + 3y + 15 ( factor the first/second and third/fourth terms )

= 2y(y + 5) + 3(y + 5) ← factor out (y + 5) from each term

= (y + 5)(2y + 3)

Thus

4y² + 26y + 30

= 2(y + 5)(2y + 3)

5 0
3 years ago
Alberta has 5 shirts and 4 pants. 3 of the shirts are her favorite and 2 of the pants are her favorite. If Alberta chooses an ou
tiny-mole [99]

Answer:

\frac{3}{10}

Step-by-step explanation:

In probability, "AND" means "multiplication" and

"OR" means "addition".

We want the probability that she picks FAVORITE SHIRT "AND" FAVORITE PANT.

Probability that she picks favorite shirt = 3/5

Probability that she picks favorite pants = 2/4 = 1/2

Since, "AND", we "multiply" both to get:

3/5 * 1/2 = 3/10

5 0
3 years ago
If 37.5% of the 600 shoppers stated they would buy the new flavor, how many of the 600 would buy it?
Vinvika [58]

Answer:

225  lo comprarían

Step-by-step explanation:

Para sacar el porcentaje se multiplica el numero por el porcentaje y dividir entre 100

37.5x600/100

37.5x 600= 22, 500

22,500/100= 225

<u>225 lo comprarían </u>

3 0
2 years ago
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