Answer:
0.4
Step-by-step explanation:
These are the relative frequencies of each face (data are missing in the text of the problem):
Number Showing on Top Face Frequency
1 0
2 3
3 3
4 6
5 3
6 5
The probability to obtain a certain number when throwing the dice is given by
where
is the relative frequency of the number 
to occur
is the sum of the relative frequencies
Here the sum of the frequencies is:
For number 5 here, we have:
(from the table)
So the probability of getting a 5 is
For number 6 here, we have
So the probability of getting a 6 is
So the probability to obtain either a 5 or a 6 in the next rolling is:
Answer: NO
Step-by-step explanation:
The functions that models the height of the ball is given as
h(t) = -5t2 + 40t + 100
Where
a = -5, b = 40, c = 100
The time the ball will reach the maximum height will be the vertex of the parabola. At the line of symmetry, the time t will be:
t = -b/2a
Substitute b and a into the formula above.
t = - 40 / -5 = 8
Substitute 8 for t in the function f(t)
h(t) = - 5(8)^2 + 40(8) + 100
h(t) = -5(64) + 40(8) + 100
Open the bracket
h(t) = -320 + 320 + 100
h(t) = 100
The maximum height of the ball is 100m
Given that the power lines is 185 metres above the ground. The golf ball will therefore not hit power lines because the maximum height the ball can go is 100 metres
Answer:
Graphically. As shown below, the roots of a polynomial are the values of x that make the polynomial zero, so they are where the graph crosses the x-axis, since this is where the y value (the result of the polynomial) is zero. The roots are the two green dots.
Step-by-step explanation:
