The probability that a randomly selected student is in music/drama is 25%
<h3>How to determine the probability?</h3>
From the table, we have the following values
Music/Drama = 7 + 13 + 5 = 25
Total = (20 + 20 + 25 + 7 + 13 + 5 + 3 + 2 + 5) = 100
The probability is then calculated as:
P = Music/Drama / Total
So, we have:
P = 25/100
Express as percentage
P = 25%
Hence, the probability that a randomly selected student is in music/drama is 25%
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The answer to 8 + 11 is 19
Answer:
y = -2x - 5
Step-by-step explanation:
An equation of a line in slope-intercept is y=mx + b.
x and y are points on the line.
m is the slope.
b is the y-intercept.
To find this equation, we will need to find m and b.
When lines are parallel, they have the same slope.
A line parallel to y = -2x + 3 has a slope of -2.
m = -2
To find b, substitute into the equation a point on the line (-2, -1) and m = -2.
A point is in the form (x, y). So x = -2, y = -1.
y = mx + b
-1 = (-2)(-2) + b Simplify by multiplying the (-2)(-2)
-1 = 4 + b Subtract 4 from both sides to isolate b
-5 = b
b = -5 Writing the variable on the left side is standard formatting
Since we now know the y-intercept, b= -5, and the slope, m = -2, substitute them into y=mx + b to get the equation of the line.
y = -2x - 5
Since this is a geometric sequence each term is being multiplied by the same number to get to the next one. Find the r in this equation
1.2r = 0.84
Then multiply it by 0.4116 to get the next height
Answer: (x + 3)(x - 4)
Step-by-Step Solution:
We need to Factorize the given Quadratic Polynomial by using Splitting the Middle Term Method.
= x^2 - x - 12
= x^2 - 4x + 3x - 12
= x(x - 4) + 3(x - 4)
=> (x + 3)(x - 4)
