Answer:
(A) There should have been 5 outcomes of HT
(B) The experimental probability is greater than the theoretical probability of HT.
Step-by-step explanation:
Given
-- Sample Space
--- Sample Size
Solving (a); theoretical outcome of HT in 20 tosses
First, calculate the theoretical probability of HT


Multiply this by the number of tosses


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Solving (b); experimental probability of HT
Here, we make use of the table


---- Experimental Probability
In (a), the theoretical probability is:

---- Experimental Probability
By comparison;

Answer:
option 2
Step-by-step explanation:
Substitute x = - 5 into f(x) , that is
f(- 5) = 4(- 5) - 7 = - 20 - 7 = - 27
Answer:
-1.8 =x
Step-by-step explanation:
12(x+3)=-8x
Distribute
12x +36 = -8x
Subtract 12x from each side
12x-12x +36 = -8x-12x
36 = -20x
Divide each side by -20
36/-20 = -20x/-20
-9/5 = x
Changing to decimal form
-1.8 =x
Answer:
C aka the third one
Step-by-step explanation:
The average acceleration of an object is calculated as the final speed minus the initial speed divided by the elapsed time.
So:

Where
= final speed
= initial speed
= elapsed time.
Thus:
The acceleration of the cyclist is:

a = 2.667
The acceleration of the car is:

a = 3.75 
The average acceleration of the car is higher than the average acceleration of the cyclist.