Answer:
Step-by-step explanation:
Given
Paper = 20 slips
Word: PENNSYLVANIA
Required
Determine P(Multiple of 4 and V)
The sample size of the 20 slips is:
The outcomes of multiples of 4 is:
So, the probability of multiples of 4 is:
The sample size of PENNSYLVANIA is:
The outcome of V is:
So, the probability of V is:
So, the required probability is: P(Multiple of 4 and V)
Express as percentage
X^2 + y^2 - x - 2*y = 0
To find both coordinates and radius we need to make this equation in circle form:
(x-a)^2 + (y-b)^2 = r^2
x^2 - 2*1/2*x + 1/4 - 1/4 + y^2 - 2*1*y + 1 - 1 = 0
Here we are adding and subtracting numbers in order to get square binomial.
(x - 1/2)^2 + (y-1)^2 = 5/4
coordinates of center are (1/2,1) and the radius is √
Answer:
The larger angle is 54°
Step-by-step explanation:
Given
Let the angles be: θ and α where
θ > α
Sum = 72
α : θ = 1 : 3
Required
Determine the larger angle
First, we get the proportion of the larger angle (from the ratio)
The sum of the ratio is 1 + 3 = 4
So, the proportion of the larger angle is ¾.
Its value is then calculated as:.
θ = Proportion * Sum
θ = ¾ * 72°
θ = 3 * 18°
θ = 54°
Answer:
- leading coefficient: 2
- degree: 7
Step-by-step explanation:
The degree of a term with one variable is the exponent of the variable. The degrees of the terms (in the same order) are ...
6, 0, 7, 1
The highest-degree term is 2x^7. Its coefficient is the "leading" coefficient, because it appears first when the polynomial terms are written in decreasing order of their degree:
2x^7 -7x^6 -18x -4
The leading coefficient is 2; the degree is 7.
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<em>Additional comment</em>
When a term has more than one variable, its degree is the sum of the exponents of the variables. The term xy, for example, is degree 2.
