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3 years ago

I CANNOT get this one wrong. I just don't understand this.

Mathematics

1 answer:

BartSMP [9]3 years ago

5 0

Answer:

C. 90°

Step-by-step explanation:

ΔEFG ≅ ΔJKL

E ---> J F ---> K G ----> L

∠ J ----> ∠ E

∠ J = 90°

∠ E = 90°

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Least to greatest<br> 4 1/2, 4.504, 4.43, 113/25

aleksklad [387]

4.43
4 1/2
4.504
113/25

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

Help please ASAP !!<br> !!!!

goblinko [34]

Answer:

im gonna say 23 or 24 not 100% sure

Step-by-step explanation:

3 0

2 years ago

Grace rides her bike 21 km in 1 1/6 hours. What is her average speed in kilometers per hour?

aleksandrvk [35]

126 because 20 X 6 and 6 x 1

4 0

2 years ago

you are working on a project for school. the project will take 12 hours to finish in all. so far, you have worked on the project

nasty-shy [4]

Answer:

6 hours and 45 minutes

Step-by-step explanation:

First, convert 12 hours into minutes.

12*60=720

Convert 5 hours to minutes and add 15

5*60=300+15=315

Subtract 720 from 315.

720-315=405

Convert into hours and minutes.

405/60=6.75

0.75 of an hour is 45 minutes so the answer is 6 hours and 45 minutes.

7 0

2 years ago

I CANNOT get this one wrong. I just don't understand this.​

I CANNOT get this one wrong. I just don't understand this.