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soldi70 [24.7K]
3 years ago
15

Mr. Cooper is making homework packets. He will put 6 worksheets in each packet. There are 18 worksheets. How many packets can he

make?
Mathematics
1 answer:
ziro4ka [17]3 years ago
8 0

6 times 18

Answer is 108

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Complete the equation of the line through (-8,-2) (-4,6)<br> Use exact numbers.
kykrilka [37]

Answer:

y = 2x + 14

Step-by-step explanation:

First, you have to find the slope by using

y2-y1

x2-x1

In other words,

-2-6

-8+4

The slope is 2.

Then you plug the rest into point-slope form (you can use either of the points, I used the first one)

y-y1=m(x-x1)

Remember that m is the slope.

y+2=2(x+8)

Distribute the slope to the parenthesis

y+2=2x+16

Isolate the y variable

y=2x2x+14

please mark me as a brain list

4 0
4 years ago
The mean number of automobiles entering a mountain tunnel per two-minute period is one. An excessive number of cars entering the
viva [34]

Answer:

A Poisson model seems reasonable for this problem, since we have the mean during the time interval.

There is a 1.9% probability that the number of autos entering the tunnel during a two-minute period exceeds three.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x)=\frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval.

The mean number of automobiles entering a mountain tunnel per two-minute period is one.

This means that \mu = 1.

For a Poisson model to be reasonable, we only need the mean during the time interval. So yes, a Poisson model seems reasonable for this problem.

Find the probability that the number of autos entering the tunnel during a two-minute period exceeds three.

We want to find P(X>3)

Either this number is less or equal to 3, or it exceeds 3. The sum of the probabilities is decimal 1. So:

P(X \leq 3) + P(X > 3) = 1

P(X > 3) = 1 - P(X \leq 3)

In which

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-1}*1^{0}}{(0)!} = 0.3679

P(X = 1) = \frac{e^{-1}*1^{1}}{(1)!} = 0.3679

P(X = 2) = \frac{e^{-1}*1^{2}}{(2)!} = 0.1839

P(X = 3) = \frac{e^{-1}*1^{3}}{(3)!} = 0.0613

So

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.3679 + 0.3679 + 0.1839 + 0.0613 = 0.981

Finally

P(X > 3) = 1 - P(X \leq 3) = 1 - 0.981 = 0.019

There is a 1.9% probability that the number of autos entering the tunnel during a two-minute period exceeds three.

8 0
3 years ago
Henry buys 6 circus tickets for himself and five friends for a total of $174. Each friend pays Henry back for his or her ticket.
Deffense [45]

Answer:

$11

Step-by-step explanation:

According to the statement, you have that 6 tickets for the price of each ticket is equal to $174 and from that, you can determine the price of each ticket:

6*P=174

P= price of each ticket

P= 174/6= 29

Now, as it says that one of Henry's friends gives him two $20 bills, that means that he gives him $40 and you have to subtract the price of the ticket from that:

40-29= 11

The answer is that if one of Henry's friends gives him two $20 bills, Henry has to return $11.

5 0
3 years ago
What is percent is 14 out of 25?
natka813 [3]

Answer: 3.50

Step-by-step explanation:

5 0
3 years ago
What is 21 divided by 50
Trava [24]

Answer:

o.42

Step-by-step explanation:

5 0
4 years ago
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