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3 years ago

A tile is selected from seven tiles, each labeled with a different letter from the first seven letters of the alphabet.

Mathematics

1 answer:

MArishka [77]3 years ago

7 0

Answer:

Step-by-step explanation:

U= {A,B,C,D,E,F,G}

X = {A, B, C, D}

Y = {A, C, E, F}

a) X or Y = {A, B, C, D} and {A, C, E, F} = {A, B, C, D, E, F}

B) X and Y = {A, B, C, D} or {A, C, E, F} = {A, C}

c) Complement of X = {A,B,C,D,E,F,G} - {A, B, C, D} = {B,D,G}

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A new phone-answering system installed by a certain utility company is capable of handling ten calls every 10 minutes. Prior to

Mrrafil [7]

Answer:

0.0137

Step-by-step explanation:

Let X be the random variable that measures the number of incoming calls every ten minutes.

If the incoming calls to the system are Poisson distributed with a mean equal to 5 every 10 minutes, then the probability that there are k incoming calls in 10 minutes is

$\bf P(X=k)=\frac{e^{-5}5^k}{k!}$

If the phone-answering system is capable of handling ten calls every 10 minutes, we want to find

P(X>10), or the equivalent 1 - P(X≤ 10).

But

1 - P(X≤ 10)= 1 -(P(X=0)+P(X=1)+...+P(X=10)) =

$\bf 1-\left (\frac{e^{-5}5^0}{0!}+\frac{e^{-5}5^1}{1!}+...+\frac{e^{-5}5^{10}}{10!}\right)=\\=1-e^{-5}\left(\frac{5^0}{0!}+\frac{5^1}{1!}+...+\frac{5^{10}}{10!}\right)=1-0.9863=0.0137$

So, the probability that in a 10-minute period more calls will arrive than the system can handle is 0.0137

6 0

3 years ago

Pls help!!

Ilya [14]

Step-by-step explanation:

Parallel lines have the same slope so they can therefore never touch. Just change the y-int. (Any number as long as it's not the same as the previous)

I.E.:

y = -3x - 12

6 0

3 years ago

kaitlin is on a long car trip every time she stops she loses 15 minutes of travel time is she stops 5 times how late will she be

yanalaym [24]

5(15)= 75 minutes or an hour and 15 minutes lost

8 0

4 years ago

Read 2 more answers

Brian has started a savings account. The balance, g(x), in his account can be represented by the function g(x) = 25x + 350, wher

elena-s [515]

For the answer to the question above, It m<span>eans Brian is switching from saving $25 dollars a week to $35 dollars a week. Because every week Brian will add $25 to his savings account (In week 1, Brian adds $25. In week 2 Brian adds $50. And so on). So to change from 25 to 35 would mean that Brian is saving more money every week ($10 to be exact). </span>

<span>And if you're curious, $350 stands for the amount of money Brian has initially (because at 0 weeks, Brian has $350 in his savings account).

I hope this helps</span>

3 0

3 years ago

Read 2 more answers

Need expert answer...Solve if you know,Explain your answer if you don't...Thank you.

Igoryamba

Answer:

Step-by-step explanation:

A piece wise function involves two or more functions over specific intervals. The equations of the two lines are the following y=x+1 and y=-x+2. The line y=-x+2 continues to the right and has an open circle at the end. So this point is not included. This means the interval is a greater than sign but not equal to. This means C is the answer.

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4 years ago