<h3>
Answer: 4/5</h3>
Explanation:
We have 24 adults who passed and 16 teens who passed. So 24+16 = 40 people passed total.
There are 24+8+16+2 = 50 people total
If you pick someone at random, the probability of them passing is 40/50 = 4/5.
In decimal form, this is 4/5 = 0.80 which converts to 80%
Answer:
Step-by-step explanation:
The question is
collect like terms
The discriminant of the given quadratic equation as in the task content can be evaluated by means of the formula; D = b²-4ac and it's value is; 13.
<h3>What is the discriminant of the quadratic equation as given in the task content?</h3>
According to the task content, it follows that the quadratic equation whose discriminant is to be determined is; x²-5x+3=0.
By comparison with the standard form equation of a quadratic graph which goes thus; ax²+bx +c = 0, in which case, the determinant is given by the expression; b² - 4ac.
We can consequently evaluate the determinant of the quadratic equation in discuss as follows;
Determinant = b² -4ac = (-5)² - (4×1×3) = 25 - 12
Hence, the determinant in this case is; 13.
Read more on determinant;
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Answer: Boat cost $ 3200
Trailer cost $ 800
Step-by-step explanation: From the statement , the coat of Trailer (t) = 1/4 of the coat of the boat ( b)
i.e t = 1/4b
multiply through by 4
4t = b
both cost 4,000
i.e t + b = 4000
recall: b = 4t
therefore
t + 4t = 4000
5t = 4000
t = 4000/5
t = 800
b = 4000 - 800
b = 3200
Given that:
(x+2)(2x-5)=54
We have:
Using the quadratic formula, this is approximately 5.66, so rounded to the nearest whole number, our answer is 6.
