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4 years ago

10 whole and 2 over 6 minus 7 whole and 3 over 6

Mathematics

2 answers:

xeze [42]4 years ago

8 0

Answer: 2 and 5/6

Explanation: To subtract mixed numbers, first subtract the fractions.

Notice here however that we have 2/6 - 3/6 which will gives us a negative fraction. Since this will cause us a lot of trouble, instead, let's rewrite the the first mixed number.

We can do this by thinking of 10 and 2/6 as 9 + 1 and 2/6 or as 9 + 8/6 by changing 1 and 1/6 into an improper fraction.

So 10 and 2/6 can be written as 9 and 8/6.

So we have 9 and 8/6 - 7 and 3/6.

Now subtract the fractions.

So we have 8/6 - 3/6 which is 5/6.

Then subtract the whole numbers. 9 - 7 is 2

2 and 5/6 is in lowest terms so 10 and 2/6 - 7 and 3/6 is 2 and 5/6.

Work is also attached in the image provided.

Serjik [45]4 years ago

7 0

Answer: 2 and 5/6

Step-by-step explanation:

10 2/6 - 7 3/6

10-7=3

2/6-3/6= -1/6

3-(-1/6) = 2 5/6

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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

AB and BC are tangent to circle D. Find x if AB = 2x + 9 and BC = 3x + 6. Find x.

mestny [16]

It woulds be x+15 because if you take 2x and subtracted from the 3x then you get x and then you add the 9 and 6 witch you get 15

6 0

3 years ago

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Tema [17]

Answer:

14N+5

Step-by-step explanation:

Five years ago; Rose Nx

Amanda x

Now; Rose Nx+5

Amanda x+5=19

x=19-5=14years

Rose(NOW) =14N+5

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