3x plus 3 minus x plus -7 greater than 6

HELP!!! ANSWER QUICKLY PLS!!! (dont worry about the purple dot)

OverLord2011 [107]

The answer is b cause none of x is the same number

8 0

3 years ago

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

When Miguel does 16 push-ups and 12 sit-ups, it takes a total of 72

Mars2501 [29]

Answer:

about 3 seconds

Step-by-step explanation:

hope this helps

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2 years ago

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Nancy drives 624 miles in 10 hours, driving the same number of miles each hour. Rebecca drives 660 miles in 12 hours, driving th

olya-2409 [2.1K]

Which statements are true about the ordered pair (−1, 5) and the system of equations?

{x+y=4 x−y=−6

Select each correct answer.

The ordered pair (−1, 5) is a solution to the first equation because it makes the first equation true.The ordered pair (−1, 5) is a solution to the second equation because it makes the second equation true.The ordered pair (−1, 5) is not a solution to the system because it makes at least one of the equations false.The ordered pair (−1, 5) is a solution to the system because it makes both

6 0

3 years ago

Select the correct answer. What are the intercepts of y = 4x − 2?

ValentinkaMS [17]

x-intercept(s): (1/2, 0) or (0.5, 0)

y-intercept(s): (0, −2)

8 0

3 years ago

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