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3 years ago

5

A wildlife reserve had 8 elephant calves born during the summer and now has 31 total elephants. How many elephants were in the r

eserve before summer began. Write an equation

1 answer:

Elza [17]3 years ago

6 0

Because you now have 31 you - 8 from 31
equation 31-8=e
solve 23 elephant before summer

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mart [117]

... what is the question lol

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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

Two inches is approximately _____. 10 cm 5 cm 500 mm .5 m

k0ka [10]

Answer:

5 cm

Step-by-step explanation:

Since 1 inch is 2.5 cm, you'll haft to double that. Making the answer 5 cm.

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3 years ago

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How are real numbers used to describe a real-world situations

avanturin [10]

Real numbers are all rational numbers such as -7 and 4/3 and all irrational numbers. Real numbers are mainly used in counting and also in measurement which is used a lot in real world situations. These numbers help is quantify in the real world.
Hope this helps! Can you give me a brainliest please? I need them badly !

3 0

3 years ago

6x + 13 = 37<br><br> please provide reasoning

sladkih [1.3K]

6x + 13 = 37

6x = 37 - 13

6x = 24

x = 24/6

x = 4

Answer: x = 4

7 0

3 years ago

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