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3 years ago

Apply the distributuve property to factor out the greatest commmon facto 32+44

Mathematics

2 answers:

Crazy boy [7]3 years ago

5 0

Answer:

4 (8+11)

Step-by-step explanation:

Found the greatest common factor: 4

Divided booth by it

32/4 + 44/4

8 + 11

4 (8+11)

VARVARA [1.3K]3 years ago

3 0

4 is the greatest common factor of 32 and 44

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Assume that the number of messages input to a communication channel in an Exponential distribution with 7 messages arriving in a

NARA [144]

The probability that more than 3 messages will arrive during a 30-second interval is $P(X=n)=\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^n}{n!}$ .

According to the statement

we have given that the an Exponential distribution with 7 messages arriving in a 10 second period and we have to find the probability that more than 3 messages will arrive during a 30-second interval.

So, For this purpose, we know that the

The probability is the measure of the likelihood of an event to happen. It measures the certainty of the event.

And the given information is that :

3 messages will arrive during a 30-second interval.

Then

Probability = P(X=1) + P(X=2) + P(X=3).Then

The probability become according to the exponential distribution:

$P(X=1)=\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^1}{1!}\\P(X=2)=\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^2}{2!}\\P(X=3)=\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^3}{3!}\\$

And then substitute the values in it then

$Probability = \dfrac{e^{-0.3 \times 20} (0.3 \times 20)^1}{1!}\ +\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^2}{2!}\ + \dfrac{e^{-0.3 \times 20} (0.3 \times 20)^3}{3!}\\$

This is the probability.

So, The probability that more than 3 messages will arrive during a 30-second interval is $P(X=n)=\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^n}{n!}$ .

Learn more about probability here

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7 0

2 years ago

I dont understand this question. I need help!!!!!!!

Lisa [10]

Answer:

Step-by-step explanation:

just look at the segment in common

25×2=50

8 0

3 years ago

Points j, k, and L are collinear

tatuchka [14]

Answer:

n=4

JK=12

KL=13

Step-by-step explanation:

Since JL=25 and JL=3n+5n-7

Then

3n+5n-7=25 simplifying we get

8n-7=25 subtracting 7 from both sides

8n=32 dividing both sides by 8

n=4

JK?

JK=3n bt n=4

JK=3*4

JK=12

KL?

KL=5n-7

KL=5*4-7

KL=13

6 0

3 years ago

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Please answer ASAP!<br><br> The number 650,000 written in scientific notation would be _____.

AfilCa [17]

Answer:

65x10^5

Step-by-step explanation:

7 0

3 years ago

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Karen is 6 years older than her sister Michelle, and Michelle is 2 years younger than their brother David. If the sum of their a

ale4655 [162]

$K\ \rightarrow\ the\ Karen's\ age\\M\ \rightarrow\ the\ Michelles\ age \\D\ \rightarrow\ the\ David's\ age\\\\K=M+6\\M=D-2\ \ \ \Rightarrow\ \ \ D=M+2\\K+M+D=62\\\\(M+6)+M+(M+2)=62\\3M+8=62\\3M=54\ /:3\\M=18\ \ \ \Rightarrow\ \ \ K=18+6=24\ \ \ and\ \ \ D=18+2=20\\\\Ans.\ Michelle\ is\ 18,\ David\ is\ 20,\ Karen\ is\ 24.$

6 0

3 years ago

Apply the distributuve property to factor out the greatest commmon facto 32+44​

Apply the distributuve property to factor out the greatest commmon facto 32+44