Answer :
The probability of obtaining a head in a single toss is will be 0.5
Step-by-step explanation:
According to the empirical definition of probability, by continuing to increase the number of trials, it would ultimately get very close to a number which the probability of obtaining a head in a single toss of the coin. This number is known to be 1/2 or 0.5
Answer:
The inverse of the function is ![f^{-1}(x) = \sqrt[3]{\frac{x-16}{8}}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7Bx-16%7D%7B8%7D%7D)
Step-by-step explanation:
Inverse of a function:
Suppose we have a function y = g(x). To find the inverse, we exchange the values of x and y, and then isolate y.
In this question:
Exchanging x and y:
![y = \sqrt[3]{\frac{x-16}{8}}](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7Bx-16%7D%7B8%7D%7D)
The inverse of the function is
8x - 19 = 36
8x = 55
x = 55/8 = 6 7/8
-2x + 19 = -66
-2x = -85
2x = 85
x = 42 1/2
Assuming the house is parallel to the ground, your triangle is made up by the house, the ground, and the ladder. Using sin(x) = opposite/hypotenuse on the angle 70 degrees, you would have sin(70) = 20/x (because 20 is the side opposite of the angle connecting the ladder and the ground)
--> simplify sin(70) * x = 20 --> x = 20 / sin(70
--> substitute (and make sure your calculator in in degrees) x= 21. 284
Answer:
Its A
Step-by-step explanation:
Because it is. i took the test :)
