We are looking for the inner perimeter of the track. Since there are two semicircles, these mix to form one full circle so we can use the formula to find the circumference of the circle with a diameter of 60 m, which was given to us. With a diameter of 60m, the radius will be 30m. Now we can solve this problem.
C = 2πr
C = 2π(30)
C = 60π
The semicircle ends of the track are a distance of 60π m, and now we just need to add the lengths of the inner track which are 100 m each. So:
P = 60π + 100m + 100m
P = 200 + 60π
P = 388.5 m
Answer:
x = a/(a² + b²) or x = -1/a
Step-by-step explanation:
a(a²+ b²)x² + b²x - a =0
Use the quadratic equation formula:
1. Evaluate the discriminant D
D = b² - 4ac = b⁴ - 4a(a² + b²)(-a) = b⁴ + 4a⁴ + 4a²b² = (b² + 2a²)²
2. Solve for x
Answer: The mean for the probability distribution will be 69.25.
Explanation:
Since we given that
As we know the formula for expectation of x i.e. known as mean for the probability distribution,
So, we apply this formula in our case,
Hence, the mean for the probability distribution will be 69.25.
Answer:
52/63
Step-by-step explanation:
Here, we want to multiply two fractions
we have this as;
4/7 * 13/9
= 52/63
I believe the answer is 275 miles. Hope this helps!