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MAVERICK [17]
2 years ago
14

A chess board is an 8 by 8 grid of squares. If you randomly choose 3 squares on the board, what is the probability that:

Mathematics
1 answer:
bixtya [17]2 years ago
3 0
The answer is the letter B
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Stella graphs the equation y=1/3x – 2
faltersainse [42]

we have

y=\frac{1}{3}x-2

<u>Statements</u>

<u>case A)</u> The graph is a straight line.

The statement is True

Because, this is a linear equation (see the attached figure)

<u>case B)</u> The line passes through the origin.

The statement is False

Because the point (0,0) is not a solution of the equation

Verify

Substitute the value of x and y in the equation

0=\frac{1}{3}*0-2

0=-2 ------> is not true

the point (0,0) is not a solution

therefore

The line does not pass through the origin

<u>case C)</u> The line passes through the point  (0,-2)

The statement is True

Because the point (0,-2) is a solution of the equation

Verify

Substitute the value of x and y in the equation

-2=\frac{1}{3}*0-2

-2=-2 ------> is true

the point (0,-2) is a solution

therefore

The line passes through the point (0,-2)

<u>case D) </u>The slope of the line is 3

The statement is False

Because, the slope of the line is m=\frac{1}{3}

<u>case E)</u> The y-intercept of the line is 2

The statement is False

we know that

The y-intercept is the value of y when the value of x is equal to zero

so

For x=0

find the value of y

y=\frac{1}{3}*0-2=-2

the y-intercept is equal to -2


5 0
3 years ago
Read 2 more answers
A home appliance salesperson wants to earn a total of 3,600 next mouth including his base salary and commissions. He earns a bas
jenyasd209 [6]

$14,000 each month

$14,000 × 20% = $2800

$2800 + $800 = $3600

3 0
3 years ago
PLEASE HELP<br> Solve for x in the equation 2x^2 - 5x + 1 = 3
Alchen [17]
Answer:

<span>x=<span><span>5±<span>√41</span></span>4</span></span>

Explanation:

<span>2<span>x2</span>−5x+1=3</span>

<span><span>aaaaaaa</span>−3a−3<span>aaa</span></span>Subtract 3 from both sides

<span>2<span>x2</span>−5x−2=0</span>

This equation is not factorable, so use the quadratic formula.

<span>x=<span><span>−b±<span>√<span><span>b2</span>−4ac</span></span></span><span>2a</span></span><span>aaa</span></span> for<span><span>aaa</span>a<span>x2</span>+bx+c=0</span>

<span>a=2,b=−5,c=−2</span>

<span>x=<span><span>−<span>(−5)</span>±<span>√<span><span><span>(−5)</span>2</span>−4<span>(2)</span><span>(−2)</span></span></span></span><span>2⋅2</span></span></span>

<span>x=<span><span><span>5±<span>√41</span></span>4</span></span></span>

hope this helped :)

alisa202

3 0
2 years ago
Read 2 more answers
Joe borrowed $5,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 7 years?
yaroslaw [1]

Answer:

$2450

Step-by-step explanation:

7% of 5000 is 350 which means that she would be paying $350 a year and so if you multiply the amount she pays a year ($350) you would get $2450.

I hope this helps.

5 0
2 years ago
Read 2 more answers
if 129.5 meters of cable connected the boat to the parasail, approximately how many meters above the lake was the man?
tiny-mole [99]
Your answer will be 2
7 0
3 years ago
Read 2 more answers
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