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Brut [27]
2 years ago
7

Nancy buys 15 m of ribbon. Her sister buys 6 m less ribbon but pays twice as much per metre. Together they pay R66. What is the

price per metre of each type of ribbon?​
Mathematics
1 answer:
Katarina [22]2 years ago
4 0

Answer: 44/9 ----> 22/9

I hope this helps you

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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
3 years ago
5/18 • 3/20 • 6/12 please help
Rasek [7]

Answer:

1/48

Step-by-step explanation:

the steps are in the picture

5 0
2 years ago
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HELP!! ASAP!!! WILL BE MARK AS BRAINLEST!!!!! :)
klemol [59]

Answer:

y=8x

Step-by-step explanation:

an equation follows the structure of y=mx+b where m is the slope and b is the y-intercept for this line the y intercept is 0 so you dont have to include it in your equation and the slope = rise over run so 8/1=the slope if you put it into an equation the answer is y=8x

8 0
2 years ago
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Asking again! Please solve! For both! Brainliest and lots of points!
Dennis_Churaev [7]

Answer:

1 D (10, 120)

2 C (20, 40)

Step-by-step explanation:

8 0
3 years ago
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. Mark has $20 in his bank account. He saves $5 each week. How much money does Mark have in his account after 9 weeks? Use x to
DanielleElmas [232]

Answer:

$135

Step-by-step explanation:

id k how to explain but since he saves 5 dollars he basically has 15 dollars in his bank account u just need to multiply 15 with however many weeks he saves up for

5 0
2 years ago
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