Convert 7/8 to 32nds

Two parallel lines are cut by a transversal. What is the measure of 28?

True [87]

Answer:

it will option D 100degree bcz of corresponding angle property

6 0

3 years ago

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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

3<6c+13<5 (Enter your answer in INTERVAL notation, using U to indicate a union of intervals; or enter DNE if no solution e

laiz [17]

Answer:

(-5/3, -4/3)

Step-by-step explanation:

3 < 6c +13 < 5 . . . . given

-10 < 6c < -8 . . . . . subtract 13

-10/6 < c < -8/6 . . . divide by 6

We can express the interval using reduced fractions as ...

(-5/3, -4/3)

8 0

4 years ago

There are 8 freight cars for every 3 passenger cars in a train.

ozzi

Answer: hay 16 vagones de pasajeros y 48 de carga

Step-by-step explanation:

7 0

2 years ago

A zealous geologist is sponsoring a contest in which entrants have to guess the age of a shiny rock. He offers these clues: the

nataly862011 [7]

Answer:

The total number of possibilities are 60.

Step-by-step explanation:

Given:

There are 6 digits and 3,7,9 are odd ones.

To Find:

How many possibilities are there for the rock's age

Solution:

Here condition is that number should start with odd digit

so there 3 number only as odd(3,7,9)

So it leaves 3 repeating numbers i.e.2

So permutation of 5 numbers with 3 odd numbers

So possible arrangement will be

nPr

n=5 ,r=3

So 5P3=5!/3!

And finally for all possibilities as

=3*(5!/3!)

=3*(20)

=60

3 0

3 years ago