Answer:
Opens upward
Step-by-step explanation:
Since the coefficient of is a positive number +8, then it is a parabola that opens upward
A track coach made a two way table to show his runners gender and running category. Male: Sprints- 16 Middle distance- 11 Long d
2 answers:
Answer: Our required probability is 0.134.
Step-by-step explanation:
Since we have given that
Sprints Middle distance Long distance Total
Male 16 11 9 36
Female 12 14 5 31
Total 28 25 14 67
So, the probability that a random chosen long distance runner is male is given by
Hence, our required probability is 0.134.
You might be interested in
Using derivatives, it is found that:
i)
ii) 9 m/s.
iii)
iv) 6 m/s².
v) 1 second.
<h3>What is the role of derivatives in the relation between acceleration, velocity and position?</h3>- The velocity is the derivative of the position.
- The acceleration is the derivative of the velocity.
In this problem, the position is:
item i:
Velocity is the <u>derivative of the position</u>, hence:
Item ii:
The speed is of 9 m/s.
Item iii:
Derivative of the velocity, hence:
Item iv:
The acceleration is of 6 m/s².
Item v:
t for which a(t) = 0, hence:
Hence 1 second.
You can learn more about derivatives at brainly.com/question/14800626
If the sides are in the ratio of 11:16:24, it means that they are all multiples of a same number x, according to these factors.
So, the shorter side is 11x feet long, the middle one is 16x feet long, and the longest side is 24x feet long.
This means that the perimeter is
feet long. But we know that this is 510 feet, so we have
.
So, the three sides are 110, 160 and 240 feet long.
To find the area of a triangle knowing its three sides, you can use Heron's formula, which states that, if is half the perimeter of the triangle whose sides are
, the area
is given by
In our case, so the formula becomes