Answer:
a. 4.33.
Step-by-step explanation:
If there is only one correct answer out of four alternatives, the expected proportion of correct answers is p =0.25
Sample size (n) = 100 questions
The standard deviation of a proportion 'p' is given by:
Applying the given data:
If X is the number of correct responses in 100 guesses, the standard deviation of X is:
The standard deviation of X is 4.33 questions.
Answer:
x = 8/9
Step-by-step explanation:
6(3x - 4) = -8
Distribute the 6
18x -24 = -8
Add 24 to each side
18x -24+24 = -8+24
18x = 16
Divide each side by 18
18x/18 =16/18
Simplify the fraction by dividing top and bottom by 2
x = 8/9
To solve this we are going to use the kinematic equation for final velocity:
where
is the final velocity
is the initial velocity
is the acceleration
is the time
We know for our problem that the the velocity at the beginning of the slope is
, so
. We also know that the speed ad the bottom of the slope is
, so
. We also know that the acceleration is
, so
. Lets replace those values in our formula and solve for
:
seconds
We can conclude that it takes the roller coaster
3 seconds to reach the bottom of the slope.