each coind has a 1/2 probability of landing on heads
3 coins would be 1/2 x 1/2 x 1/2 = 1/8 probability
The value for y is 17.5°
The equation is
Sin (3y - 30°) = Cos (7y +50°)
<h3>What is Trigonometry ?</h3>
Trigonometry is the branch oh Mathematics which involve the study of right angles , its sides and trigonometric ratios.
the equation given in the question is
Sin (3y - 30°) = Cos (7y +50°)
cos(90 - 
) = sin
Therefore
sin(3y-30°) = sin( 90-(7y+50°)
Equating the terms
3y - 30 = 90-7y -50
4y = 90-50+30
4y = 120-50
4y = 70
y = 17.5
The value for y is 17.5°
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Answer:
2x² + 12x + 10
Step-by-step explanation:
Area of a rectangle = width x length
Therefore,
Area = (x + 1)(2x + 10)
Expand the brackets: 2x² + 10x + 2x + 10
Combine like terms: 2x² + 12x + 10
A quadratic expression is an expression with the variable with the highest power of 2
The conclusion is there is likely an association between the categorical variables because the sum of the relative frequencies is 1. 0.
<h3>What is the true statement?</h3>
Categorical variables are variables that can only take on a fixed number of values. An example of categorical variables is gender. One can either be a male or a female.
The sum of the categorical variables is 1. This indicates that the two variables are negatively correlated. It means that someone would be either pick one of the variables.
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Since g(-x) is equal to g(x), the function is an EVEN FUNCTION.
<h3>Is the given function even, odd or neither?</h3>
Given the function in the question;
g(x) = (4 + x²)/(1 + x⁴)
To determine if the function is even, odd or neither, we find g(-x) by substituting -x for all occurrence of x in the function.
g(x) = (4 + x²)/(1 + x⁴)
g(-1) = (4 + (-x)²)/(1 + (-x)⁴)
Simplify
g(-x) = (4 + x²)/(1 + x⁴)
Hence,
g(-x) = g(x)
Since g(-x) is equal to g(x), the function is an EVEN FUNCTION.
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