Answer:
The probability of getting 2 socks of the same color is 1/3.
Step-by-step explanation:
In the drawer,
Number of blue socks = 4
Number of white socks = 8
Number of gray socks = 4
Total number of socks = 4 + 8 + 4 = 16
Total ways to select 2 socks form 16 socks is

Total ways to select 2 socks of the same color is
T = Possible ways of (2 blue + 2 white +2 gray) socks
= 
= 
= 
The probability of getting 2 socks of the same color is



Therefore, the probability of getting 2 socks of the same color is 1/3.
The roots of the given polynomials exist
, and
.
<h3>What is the formula of the quadratic equation?</h3>
For a quadratic equation of the form
the solutions are

Therefore by using the formula we have

Let, a = 1, b = -16 and c = 54
Substitute the values in the above equation, and we get

simplifying the equation, we get



Therefore, the roots of the given polynomials are
, and
.
To learn more about quadratic equations refer to:
brainly.com/question/1214333
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Answer: Angle A = 53.9 degrees
Step-by-step explanation: We have a right angled triangle with two sides clearly given and one angle to be calculated. If the angle to be calculated is angle A, then having angle A as our reference angle, line AC (10 units) is the adjacent, line CB is the opposite while line AB (17 units) is the hypotenuse. Having been given the adjacent and the hypotenuse, we can now use the trigonometric ratio as follows;
CosA = adjacent/hypotenuse
CosA = 10/17
CosA = 0.5882
By use of the calculator or table of values,
A = 53.97
Approximately to the nearest tenth,
A = 53.9 degrees
Answer:
first option
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
m(x) = - 2 (x - 6)² + 18 ← is in vertex form
with vertex = (6, 18 )