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3 years ago

A librarian knows that 45% of the books currently checked out will NOT be returned on the due date. The library has a

Mathematics

1 answer:

malfutka [58]3 years ago

7 0

Answer:

79 books

Step-by-step explanation:

45% books not returned = 55% books will be returned

145 books currently checked out

55% of 145 = 79.75

since you can't return 3/4 of a book, i would round down to 79.

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The Venn diagram shows the results of two events resulting from rolling a number cube.

tankabanditka [31]

Answer:

$P(A|B)=\frac{2}{3}$

$P(A)*P(B)=\frac{1}{3}$

$P(A) =\frac{2}{3}$

$P(B) =\frac{1}{2}$ .

Step-by-step explanation:

We use the Venn diagram to calculate the desired probabilities.

Note that there are 6 possible results in the sample space

S = {1, 2, 3, 4, 5, 6}

Then note that in the region representing the intercept of A and B there are two possible values.

$P (A\ and\ B) = \frac{2}{6} = \frac{1}{3}$

In the region that represents event A there are 4 possible outcomes {4, 5, 1, 2}

$P(A) = \frac{4}{6} = \frac{2}{3}$

In the region that represents event B there are 3 possible outcomes {1, 2, 6}

$P(B) = \frac{3}{6} = \frac{1}{2}$ .

Now

$P(A | B)=\frac{P(A \ and\ B)}{P(B)}\\\\P(A | B)=\frac{\frac{1}{3}}{\frac{1}{2}}\\\\P(A|B)=\frac{2}{3}$

$P(A)*P(B)=\frac{2}{3}*\frac{1}{2}=\frac{1}{3}$

6 0

3 years ago

How to use substitution to solve system of equations

svlad2 [7]

Answer: See explanation.

Step-by-step explanation:

Let's assume that you have a System of two equations. You can solve this System using the Substitution Method.

In order to use that method to solve the System of equations, you can follow the steps shown below:

Step 1: You must choose one of the equations of the system and solve for one of the variables. Let's call this new equation "Equation A"

Step 2: Then you must substitute"Equation A" into the other equation.

Step 3: Now you must solve for the other variable in order to find its value.

Step 4: Finally, you need to substitute the value of the variable obtained in the previous step, into the "Equation A" and then evaluate in order to find the value of the other varibale.

(Note: You can also substitute the value of the variable calculated in Step 3 into any original equation and solve for the other variable to find its value).

4 0

2 years ago

I need help solving this: <img src="https://tex.z-dn.net/?f=x-%20%5Csqrt%7B2x-7%7D%20%3D%205" id="TexFormula1" title="x- \sqrt{2

laila [671]

Hope this helps :).