What is the equation of the line through the points (4,6), (8,12), and (10,15)?

A librarian has a set of ten different books, including four different books about Abraham Lincoln. The librarian wants to put t

Darya [45]

Answer:

120960

Step-by-step explanation:

Given that a librarian has a set of ten different books, including four different books about Abraham Lincoln.

The librarian wants to put the ten books on a shelf with the four Lincoln books next to each other, somewhere on the shelf among the other six different books.

First arrnage the 6 other books in the shelf.

This can be done in $6! ways$

Now arrange the 4 books of Lincoln

This can be done in $4! ways$

Now we have 7 places to insert Lincoln books including two corners and in between.

Thus this can be done in 7 ways

Total no of ways = $6!(4!)(7) = 120960$

3 0

3 years ago

The probability of randomly selecting a female from a group of 25 elementary school teachers is . Which of the following describ

nirvana33 [79]

Answer:

it is likely that a female will be picked

Step-by-step explanation:

the probability of selecting a female = 21/25....or 84%

7 0

3 years ago

A mosquito is walking at random on the nonnegative number line. She starts at $1$. When she is at $0$, she always takes a step $

nikitadnepr [17]

Answer:

The expected number of times is 4.

Step-by-step explanation:

Looking at the question, we see that this follows a geometric distribution because it is asking for the expected number of trials hat will bring about the FIRST SUCCESS. The probability of success is

$\frac{1}{4}$

Since it is a geometric distribution, we know that the expected value of a random variable X, E(X) that follows a geometric distribution is given as:

E(X) = 1/p where p is the probability of success.

Therefore, the expected number of times will be

E(X) = 1/(1/p) = 1/(1/4) = 4.

Hence, the expected number of times is 4.

4 0

3 years ago

The table below shows the budget for the Smith family.

tiny-mole [99]

Answer:

415 300 213 3400 4500 = 8415

4500 450 415 300 215 3400 = 9280

8828 times 100 divided by 9280 =9 5.1293103448

95.1 percent (simplified)

Step-by-step explanation: income is income rescieved, id.k if income taxes is given to you but taxes is usually taken away from you, college savings, retirement saving and emergency funds are income, and living expenses is for living and you use it on what ever you want. mainly food.

8 0

3 years ago

Read 2 more answers

A mixture of alcohol and water contains a total of 60 oz of liquid there are 12 oz of pure alcohol in the mixture was a percenta

OlgaM077 [116]

Answer:

The mixture contains 80% water and 20% alcohol.

Step-by-step explanation:

Given:

Total Amount of mixture = 60 oz

Amount of alcohol in the mixture = 12 oz

We need to find the percentage of water and percentage of alcohol in the mixture.

Solution:

First we will find the amount of water in mixture.

Now we know that;

Total Amount of mixture is equal to sum of Amount of alcohol in the mixture and amount of water in mixture.

so we can say that;

amount of water in mixture = Total Amount of mixture - Amount of alcohol in the mixture

amount of water in mixture = $60-12 =48\ oz$

Now we will find the Percentage amount of water.

Percentage amount of water can be calculated by dividing amount of water in mixture by Total Amount of mixture and then multiplying by 100.

framing in equation form we get;

Percentage amount of water = $\frac{48}{60}\times 100 = 80\%$

Percentage amount of alcohol = $100\%-80\%=20\%$

Hence The mixture contains 80% water and 20% alcohol.

7 0

3 years ago