There are 4 king and 4 eight cards inside 52 one deck of cards. The case asks for a king card and then an eight card.
To draw the king card, you have 4/52 probability.
To draw the eight card, you have 4/51 probability ( since the king card not replaced).
The total probability would be: 4*4/ 52*51= 4/663
We need to convert this equation to slope-intercept form first.
We can do that by solving for y.
x - 5y = 15
<em><u>Add 5y to both sides.</u></em>
x = 5y + 15
<em><u>Subtract 15 from both sides.</u></em>
x - 15 = 5y
<em><u>Divide both sides by 5.</u></em>
y = 1/5x - 3
We now know the slope is 1/5.
The slope of the line perpendicular to the line with a slope of 1/5 is -5.
The slope of a perpendicular line is the negative reciprocal of the original slope.
Using a graphing calculator, we know the y-intercept of the line that is perpendicular to the original line must have a y-intercept of -6 to run through the points (-2, 5).
The equation of the new line is y = -5x - 6.
It is a! I did this assignment and got it right that’s how I know!
The reduced fraction that represents the sales attained is 17/20
<h3>How to determine the fraction?</h3>
The given parameters are:
Expected = $6000
Attained = $5100
The fraction is represented as:
Fraction = Attained/Expected
So, we have:
Fraction = 5100/6000
Divide by 300
Fraction = 17/20
Hence, the reduced fraction is 17/20
Read more about fractions at:
brainly.com/question/1622425
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Answer: 1.2 in
Step-by-step explanation:
The pythagorean theorem states that a²+b²=c². Thus, 0.9²+b²=1.5².
1.5²=2.25
0.9^2=0.81
0.81 + b² = 2.25
1.44 = b²
b = 1.2
Hope it helps <3 :)
