Answer:
12
Step-by-step explanation:
A 2 - sided counter ; (red, yellow)
A spinner (1,2,3,4,5,6)
Number of trials = 80
P(red and number > 3) :
P(red) = 1/2 ;
P(number >3) : numbers greater Than 3 = (4, 5, 6)
Hence, P(number <3) = 3 /6 = 1/2
Theoretical probability = 1/2 *1/2 = 1/4
Expected number of outcomes :
1/4 * number of trials
1/4 * 80 = 20
Experimental outcome :
Relative frequency = number of outcomes / number of trials
Relative frequency = 2/5
Hence,
2/5 = number of outcomes / 80
Cross multiply :
160 = number of outcomes * 5
Number of outcomes = 160 /5 = 32
Actual outcomes = 32
Difference between actual and expected :
32 - 20 = 12
Answer:
The answer is A.
Step-by-step explanation:
The first graph was dilated by 1/2, therefore the answer is A
The factors of 7 are 7, 1.
The factors of 12 are 12, 6, 4, 3, 2, 1.
12*7=84
R. It is not in the same plane as C, D and E
Answer:
-764.28
Step-by-step explanation:
Given the joint cumulative distribution of X and Y as
#First find 
and probability distribution function ,
:
#Have determined the probability distribution unction ,, we calculate the Expectation of the random variable X:
#We then calculate 
:
Hence, the Var(X) is 764.28
