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Ivenika [448]
2 years ago
7

Multistep: Bart and Sam played a game in which each player earns or loses points in each turn. A player's total score after two

turns is the sum of his points earned or lost. The player with the greater score after two turns wins. Bart earned 123 points and lost 180 points. Sam earned 185 points and lost 255 points. Which person won the game? Explain.
Mathematics
1 answer:
bonufazy [111]2 years ago
3 0
-57 for the lost 180 points and earned 123 and the earned 185 ponts and lost 255 points is -70
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A stock has produced returns of 11.9 percent, 5.6 percent, 16.4 percent, and -4.2 percent over the past four years, respectively
EleoNora [17]

The average annual return is

\displaystyle ((1+0.119)(1+0.056)(1+01.64)(1-0.042))^{\frac{1}{4}}-1=\sqrt[4]{1.317687706368}-1\\\\ \approx 7.14\%

8 0
2 years ago
2. A drawing of a sailboat was made using a rectangle and two right triangles, as shown. What
Zarrin [17]

Answer:

  45 square centimeters

Step-by-step explanation:

The area of the triangle is given by ...

  A = (1/2)bh

where b is the base, 2 cm + 3 cm = 5 cm, and h is the height, 6 cm.

  A = (1/2)(5 cm)(6 cm) = 15 cm^2

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The area of the rectangle is given by ...

  A = bh

where b is the base, 12 cm, and h is the height, 2.5 cm.

  A = (12 cm)(2.5 cm) = 30 cm^2

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The area of the whole figure is the area of the triangle added to the area of the rectangle:

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0 0
2 years ago
Which algebraic expression represents the phrase "seven more than half of a number"?
Vika [28.1K]

Answer:

1/2x +7

Step-by-step explanation:

Let the unknown number be x

We want 1/2 of the number

1/2x

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1/2x +7

4 0
2 years ago
Find a matrix representation of the transformation L(x, y) = (3x + 4y, x − 2y).
mario62 [17]

Answer:

\left[\begin{array}{cc}x&y\end{array}\right] * \left[\begin{array}{cc}3&1\\4&-2\end{array}\right] = \left[\begin{array}{cc}3x+4y&x-2y\end{array}\right]

Step-by-step explanation:

The general matrix representation for this transformation would be:

\left[\begin{array}{cc}x&y\end{array}\right] * A = \left[\begin{array}{cc}3x+4y&x-2y\end{array}\right]

As the matrix A should have the same amount of rows as columns in the firs matrix and the same amount of columns as the result matrix it should be a 2x2 matrix.

\left[\begin{array}{cc}x&y\end{array}\right] * \left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}3x+4y&x-2y\end{array}\right]

Solving the matrix product you have that the members of the result matrix are:

3x+4y = a*x + c*y

x - 2y = b*x + d*y

So the matrix A should be:

\left[\begin{array}{cc}3&1\\4&-2\end{array}\right]

8 0
2 years ago
The quality control team of a company checked 800 digital cameras for defects. The team found that 20 cameras had lens defects,
dmitriy555 [2]

Answer:

0.025

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The  the probability that a camera has a lens defect given that it has a charging defect is calculated as:

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Hence,  the probability that a camera has a lens defect given that it has a charging defect is 0.025

6 0
2 years ago
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