If you are given with all the tree sides of the triangle, you may solve for all the angles through the Law of Cosines,
c² = a² + b² - 2ab(cos C)
where angle C is the angle opposite the side c. You may use the same equation to get the values of the remaining angle. Additionally, if you already have one known angle, you can solve for the rest of the angles by Law of Sines,
a / sin A = b / sin B = c / sin C
The probability of drawing a 5 from card numbered 1 - 10 is 1/10 because only one card out of ten is numbered 5.
The probability of rolling a 2 on the cube is 1/6 because there are 6 faces of the cube with 6 different numbers. The probability of picking a 5 and rolling a 2 together is 1/60 because
1/10 x 1/6 = 1/60. You multiply them together because there will be 60 combinations: 10 card possibilities and 6 cube possibilities.
Hope this helps!
Answer:
Step-by-step explanation:
Solve the given 3x + 5y = 2 for y. This will automatically indicate the slope of the line.
Subtracting 3x from both sides of this equation, we get:
5y = -3x = -3x + 2.
Dividing both sides by 5 yields y = (-3/5)x + 2/5.
The slope of the given line is -3/5. The y-intercept of this line is (0, 2/5).
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First, we get the z-score using formula:
z =( X - μ ) / σ
From the problem, we substitute the given values:
z = (9 - 7.8) / 1.7
z = 0.71
From the z-table (one-tailed), for a z-score of 0.7059, the proportion of numbers that are greater than 9 is 0.76.
Answer:
y=-4x-5
Step-by-step explanation:
The slope of the line is - 4, the equation of line is y=-4x-5