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Mrac [35]
3 years ago
10

2/16 = reducing fractions​

Mathematics
2 answers:
adelina 88 [10]3 years ago
6 0

Answer:

2/16 reducing fraction is 1/8

Blizzard [7]3 years ago
3 0

Answer:

I think it will be =1/8

Hope it helps:D

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A pen company averages 1.2 defective pens per carton produced (200 pens). The number of defects per carton is Poisson distribute
nlexa [21]

Answer:

a. P(x = 0 | λ = 1.2) = 0.301

b. P(x ≥ 8 | λ = 1.2) = 0.000

c. P(x > 5 | λ = 1.2) = 0.002

Step-by-step explanation:

If the number of defects per carton is Poisson distributed, with parameter 1.2 pens/carton, we can model the probability of k defects as:

P(k)=\frac{\lambda^{k}e^{-\lambda}}{k!}= \frac{1.2^{k}\cdot e^{-1.2}}{k!}

a. What is the probability of selecting a carton and finding no defective pens?

This happens for k=0, so the probability is:

P(0)=\frac{1.2^{0}\cdot e^{-1.2}}{0!}=e^{-1.2}=0.301

b. What is the probability of finding eight or more defective pens in a carton?

This can be calculated as one minus the probablity of having 7 or less defective pens.

P(k\geq8)=1-P(k

P(0)=1.2^{0} \cdot e^{-1.2}/0!=1*0.3012/1=0.301\\\\P(1)=1.2^{1} \cdot e^{-1.2}/1!=1*0.3012/1=0.361\\\\P(2)=1.2^{2} \cdot e^{-1.2}/2!=1*0.3012/2=0.217\\\\P(3)=1.2^{3} \cdot e^{-1.2}/3!=2*0.3012/6=0.087\\\\P(4)=1.2^{4} \cdot e^{-1.2}/4!=2*0.3012/24=0.026\\\\P(5)=1.2^{5} \cdot e^{-1.2}/5!=2*0.3012/120=0.006\\\\P(6)=1.2^{6} \cdot e^{-1.2}/6!=3*0.3012/720=0.001\\\\P(7)=1.2^{7} \cdot e^{-1.2}/7!=4*0.3012/5040=0\\\\

P(k

c. Suppose a purchaser of these pens will quit buying from the company if a carton contains more than five defective pens. What is the probability that a carton contains more than five defective pens?

We can calculate this as we did the previous question, but for k=5.

P(k>5)=1-P(k\leq5)=1-\sum_{k=0}^5P(k)\\\\P(k>5)=1-(0.301+0.361+0.217+0.087+0.026+0.006)\\\\P(k>5)=1-0.998=0.002

5 0
4 years ago
Two less than six times a number is the same as thirteen more than a number. Find the number.​
NNADVOKAT [17]
6x - 2 = x + 13
Subtract x
5x - 2 = 13
Add 2
5x = 15, x = 3
Solution: the number is 3
6 0
3 years ago
The difference of twice a number and five is three. Find the number.
ss7ja [257]

let x = a number

difference means that its subtraction

twice a number is 2x

so the equation should be

2x-5=3

add 5 to both sides

2x=8

divide both sides by 2

x=4

5 0
3 years ago
(7x^6+2x^5-3x^2+9x)+(5x^5+8^3-6x^2+2x-5)
Reil [10]

Answer:

Step-by-step explanation:

Combine like terms

7x^6

2x^5+5x^5= 7x^5

8x^3

-3x^2-6x^2= -9x^2

9x+2x= 11x

-5

Put back into order

7x^6+7x^5+8x^3-9x^2+11x-5

7 0
3 years ago
PLS ANSWER THIS ASAP THANK YOU AND I WILL GIVE YOU THANKS
katen-ka-za [31]
Should be D. 2x65=130-20=110
5 0
3 years ago
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