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kvv77 [185]
3 years ago
13

You randomly choose one shape gram a bag. Find the number of ways the event can occur. Find the favorable outcomes of the event.

1. Choosing a square 2. Choosing a circle 3. Not choosing a star. (Use the picture)

Mathematics
1 answer:
ddd [48]3 years ago
4 0
Square = 50%; circle ~= 17%;not star = 67%
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Tickets to a school play cost $1.50 for a student and $2.50 for an adult. Clara sold 5 tickets for a total of $10.50. How many o
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</span><span>=1.50+1.50+2.50+2.50+2.50=10.50</span>
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3 years ago
Debra borrowed $8000 at a rate of 18% compounded semiannually. Assuming she makes no payment, how much will she owe after 9 year
Marina CMI [18]

Answer:

She owe $37736.96 after 9 years .

Step-by-step explanation:

Debra borrowed $8000 at a rate of 18% compounded semiannually

We are supposed to find how much will she owe after 9 years

Principal = 8000

Rate of interest = 18% =0.18

No. of compounds per year = 2

Time = 9 years

Formula : A= P(1+\frac{r}{n})^{nt}

Substitute the values in the formula :

A= 8000(1+\frac{0.18}{2})^{2 \times 9}

A= 37736.96

Hence She owe $37736.96 after 9 years .

5 0
3 years ago
Given f (x) = 4x - 3,g(2) = x3 + 2x<br> Find (f - g) (4)
Ira Lisetskai [31]
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5 0
3 years ago
Solve the given system of equations using either Gaussian or Gauss-Jordan elimination. (If there is no solution, enter NO SOLUTI
cricket20 [7]

Answer:

The system has infinitely many solutions

\begin{array}{ccc}x_1&=&-x_3\\x_2&=&-x_3\\x_3&=&arbitrary\end{array}

Step-by-step explanation:

Gauss–Jordan elimination is a method of solving a linear system of equations. This is done by transforming the system's augmented matrix into reduced row-echelon form by means of row operations.

An Augmented matrix, each row represents one equation in the system and each column represents a variable or the constant terms.

There are three elementary matrix row operations:

  1. Switch any two rows
  2. Multiply a row by a nonzero constant
  3. Add one row to another

To solve the following system

\begin{array}{ccccc}x_1&-3x_2&-2x_3&=&0\\-x_1&2x_2&x_3&=&0\\2x_1&+3x_2&+5x_3&=&0\end{array}

Step 1: Transform the augmented matrix to the reduced row echelon form

\left[ \begin{array}{cccc} 1 & -3 & -2 & 0 \\\\ -1 & 2 & 1 & 0 \\\\ 2 & 3 & 5 & 0 \end{array} \right]

This matrix can be transformed by a sequence of elementary row operations

Row Operation 1: add 1 times the 1st row to the 2nd row

Row Operation 2: add -2 times the 1st row to the 3rd row

Row Operation 3: multiply the 2nd row by -1

Row Operation 4: add -9 times the 2nd row to the 3rd row

Row Operation 5: add 3 times the 2nd row to the 1st row

to the matrix

\left[ \begin{array}{cccc} 1 & 0 & 1 & 0 \\\\ 0 & 1 & 1 & 0 \\\\ 0 & 0 & 0 & 0 \end{array} \right]

The reduced row echelon form of the augmented matrix is

\left[ \begin{array}{cccc} 1 & 0 & 1 & 0 \\\\ 0 & 1 & 1 & 0 \\\\ 0 & 0 & 0 & 0 \end{array} \right]

which corresponds to the system

\begin{array}{ccccc}x_1&&-x_3&=&0\\&x_2&+x_3&=&0\\&&0&=&0\end{array}

The system has infinitely many solutions.

\begin{array}{ccc}x_1&=&-x_3\\x_2&=&-x_3\\x_3&=&arbitrary\end{array}

7 0
3 years ago
Which of the following rational functions is graphed below?
AlekseyPX

Answer:

The rational function that is graphed is B

6 0
3 years ago
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