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Varvara68 [4.7K]
3 years ago
7

You are playing the duck pond game at the carnival! There are 20 ducks in the pond. Five of the ducks have blue dots on their be

llies. You win if you pick up a duck that has a blue dot. You can play one round for $1 or four rounds for $3. In each round you will pick a duck out of the pond and see if it has a blue dot on its belly. If you win you get a prize. After that you place the duck back in the pond, close your eyes, and the worker moves all of the ducks around. If you play the duck pond game four times, what is the probability that you will win three of the times? (Hint: How many possible outcomes are there for this experiment?)
Mathematics
1 answer:
GaryK [48]3 years ago
4 0

Answer: Pt= 3/256

Step-by-step explanation:

For each round the probability of winning is:

Pw = number of blue dotted ducks/ total number of ducks

Pw= 5/20 ( since the duck is being replaced)

The probability of losing is:

Pl= number of ducks without blue dotted belly/ total number of ducks

Pl = 15/20

Therefore the probability of winning 3 times out of 4 is:

Pt= Pw× Pw×Pw×Pl

Pt= (5×5×5×15)/(20×20×20×20)

Pt= 1875/160000

Pt= 3/256

Goodluck...

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I will give a brainlest, i promise, please help me with this.​
valkas [14]

Answer:

1) b and m

2) m∠8=m∠6

3) 160°

4)x=60°

Step-by-step explanation:

1) all straight lines sum to 180°

subtract the angles given from 180°

the other angle for b is 25°, while the other angle for m is 155°

so we can see that the angles for both lines are the same, hence they are parallel.

2) ∠8 should be the same as ∠6, ∠10 should be the same as ∠3, ∠7 same as ∠5 and ∠9 same as ∠4

in the options we are only given '∠8 should be the same as ∠6' as the correct answer, so we take that.

3) from the image we can see that both horizontal lines are parallel to each other, so both angles on the lines should be same, so ∠CET would be (2x-16)°

(2x-16)°+(7x+20)°=180°

we get x=20(nearest whole number)

∠CED=7x+20=7(20)+20=160°

4) since we need to show that they are parallel,

(2x+30)°=(4x-90)°

2x-4x=-90-30

-2x=-120

x=60

we then plug the x value into the two equations, in which we get 150° for both the angles [2(60)+30=4(60)-90] ⇒ (150=150)

I hope u understand it the way I put it.

8 0
3 years ago
PLEASE HELP WITH ALL QUESTIONS WILL GIVE BRAINLIEST AND WILL GIVE 33 POINTS
MrMuchimi

uh where the question?

6 0
3 years ago
11. What is the reciprocal of 6/5?<br> OA. 12/20<br> OB.11/5<br> OC.1<br> OD.576
Elanso [62]

Answer: The answer is D, 5/6.

Step-by-step explanation: The reciprocal of a fraction is that fraction but the numerator and denominater swapped places.

3 0
3 years ago
Read 2 more answers
The area of a rectangle is 25/42 and its width is 5/6. What is the length? ASAP
Serhud [2]

Answer:

<h2>length =  \frac{25}{28}</h2>

Step-by-step explanation:

Let the length of the rectangle be l

Area of a rectangle = length × width

From the question

Area = 25/42

width = 5/6

Substitute the values into the above formula and solve for the length

That's

<h3>length =  \frac{area}{width}</h3>

So we have

<h3>length =  \frac{25}{42}  \div  \frac{4}{6}  \\  =  \frac{25}{42}  \times  \frac{6}{4}  \\  =  \frac{25}{7}  \times  \frac{1}{4}</h3>

We have the final answer as

<h3>\frac{25}{28}</h3>

Hope this helps you

8 0
3 years ago
A simple random sample of size n=10 is obtained from a population that is normally distributed with a mean of 40 and a standard
Eva8 [605]

Yes, the sampling distribution is normally distributed because the population is normally distributed.

A sampling distribution is a chance distribution of a statistic obtained from a larger variety of samples drawn from a specific populace. The sampling distribution of a given population is the distribution of frequencies of a variety of various outcomes that would probable occur for a statistic of a populace.

A sampling distribution is a probability distribution of a statistic this is obtained via drawing a huge variety of samples from a particular populace. Researchers use sampling distributions so that you can simplify the technique of statistical inference.

Solution :

mean = μ40

standard deviation σ σ= 3

n = 10

μx =  40

σ x = σ√n =  3/√10  = 0.9487

μ x =  4σ\x = 0.9487

σx = 0.9487

Yes, the sampling distribution is normally distributed because the population is normally distributed.

Learn more about sampling distribution here:- brainly.com/question/12892403

#SPJ4

3 0
1 year ago
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