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Fiesta28 [93]
2 years ago
6

Which fraction below represents a repeating decimal?

Mathematics
1 answer:
erastova [34]2 years ago
5 0
I believe the answer is 22/12
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The probability that a randomly selected box of a certain type of cereal has a particular prize is 0.20.
MatroZZZ [7]

Answer:

a) the probability is 0.0734 (7.34%)

b) the probability is 0.7382 (73.82%)

c) 10 boxes

Step-by-step explanation:

Since each box is independent of the others and defining the random variable X= number of boxes of cereal purchased without prices until having 2 prices , then X has a negative binomial distribution . Thus

P(X=k)= C(k+r-1,k)*p^k *(1-p)^r

where

p= probability to not obtain a price when a box is purchased = 1- 0.2 = 0.8

C ( ) = combinations

k = number of boxes without prices

r= number of boxes with prices=2

P(X=k) = probability of purchasing k boxes without prices until obtaining r boxes with prices

a) for k= 8 - r = 6

P(X=6)= C(7,6)*0.8^6*0.2^2 = 7*0.8^6*0.2^2 = 0.0734 (7.34%)

b) for k≥9-2=7

P(X≥7) = 1- P(X<7)= 1- Fn(X=7)

where Fn(X) is the cumulative negative binomial distribution. We can calculate it through its relationship with the cumulative binomial distribution Fb(X) that is easily found in tables :

Fn(k=7,r=2,p=0.8) = Fb(k=7,n=k+r=9,p=0.8) = 0.2618

thus

P(X≥7) = 1- P(X<7)= 1- Fn(X=7) = 1-  0.2618 = 0.7382 (73.82%)

c) the expected value E(X) for a negative binomial distribution is

E(X)= p*r/(1-p) = 0.8*2/0.2 = 8 boxes that do not contain prices

thus

n=k+r = 8 + 2 = 10 boxes

6 0
3 years ago
A baseball is thrown at an angle of 30° with respect to the ground and it reaches the ground in 2 seconds. What is its initial v
NeTakaya

Answer:

The answer to your question is vo = 19.62 m/s

Step-by-step explanation:

Data

angle = α = 30°

time = t = 2 s

vo = ?

g = 9.81 m/s²

Formula

                  t = \frac{2vosin\alpha}{g}

Solve for vo

             vo = \frac{tg}{2sin\alpha}

Substitution

            vo = \frac{(2)((9.81)}{2sin 30}

Simplification

           vo = \frac{19.62}{2(0.5)}

           vo = \frac{19.62}{1}

Result

            vo = 19.62 m/s

3 0
3 years ago
Charlie wants to order lunch for his friends. He’ll order 6 sandwich’s and a $3 kids meal for his little brother Charlie had $27
Vera_Pavlovna [14]
The answer is 4, first you the $27 and subtract the $3, then u take 24 and divide it by 6
8 0
3 years ago
Read 2 more answers
Graph the solution to this inequality on the number line.<br><br> 5/8 z &gt; 5/6
docker41 [41]

Answer:

the answer is 6 I think sorry if its wrong

8 0
2 years ago
What is 2 + 2, minus 4?
Archy [21]

Answer:

0

Step-by-step explanation:

2 + 2 = 4 and then 4 - 4 = 0

8 0
3 years ago
Read 2 more answers
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