The vertex<span> of a </span>parabola<span> is the point where the </span>parabola<span> crosses its axis of symmetry. If the coefficient of the x 2 term is positive, the </span>vertex<span> will be the lowest point on the graph, the point at the bottom of the “ U ”-shape.
</span><span>
The vertex of the parabola whose equation is y = x^2 + 8 x + 12 will be :
</span>(x , y) = (-4,-4)
Discount, as you are lowering the item price from 100% (Default ) to 75%
Discount = 100% - 75% = 25%
If it was required to find the discount.
discount = 0.25 x Price.
newPrice = 0.75 x Price
Original price = Discount + new Price.
Answer:
And using the probability mass function we got:
And replacing we got:

Step-by-step explanation:
Let X the random variable of interest "number of students graduated", on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
We want to find the following probability:
And using the probability mass function we got:
And replacing we got:

Answer:
the true statement is D. sin A = cos C
it's because,
statements A and B do not match and as for statement C, angle B is not included in trigonometric ratios