Question:
A = {2, 3, 4, 5}
B = {4, 5, 6, 7, 8}
Two integers will be randomly selected from the sets above, one integer from set A and one integer from set B. What is the probability that the sum of the two integers will equal 9?
A. 0.15
B. 0.20
C. 0.25
D. 0.30
E. 0.33
Answer:
Option B: 0.20 is the probability of the sum of the two integers.
Explanation:
The sample space for selecting 2 numbers is given by
We need to determine the probability that the sum of two integers will be equal to 9.
Hence, we need to add the two integers from the sets A and B such that their sum will be equal to 9.
Hence, the sets are
Thus, the total number of sets whose sum is equal to 9 = 4
The probability that the sum of the two integers will equal 9 is given by
Thus, the probability that the sum of the two integers will equal 9 is 0.20
Hence, Option B is the correct answer.
Answer:
Positive correlation exists ;
Number of Steps taken will cause heart rate to increase.
Step-by-step explanation:
Correlation refers to the relationship which exists which exists between two variables. It shows how an increase in one variable affects the other variable. Variables are divided into independent and dependent variables. Correlation may either be positive, negative or non - existent.
Given the correlation Coefficient of 0.88 between heart rate and number of steps taken, the R value being close to 1 depicts a strong positive relationship or correlation.
Correlation between number of steps taken and heart rate.
Yes, The number of steps taken will cause the hear rate to increase. Hence, the dependent variable is is heart rate and it depends on the number of steps taken (independent variable).
1.08 is one and eight hundredths.<span />
Answer:
5 units
Step-by-step explanation:
in a 30-60-90 triangle, the hypotenuse is 2 times the value of the shorter leg. So, if the hypotenuse is 10, then the shorter leg will be 5 units because 10 ÷ 2 is 5.
Experimental probability is the ratio of number of times the event is occurring to the total number of the trials of the experiment. This implies that it is a ratio of the number of times an event is occurring to the total number of times that the activity has been repeated. Thus we shall use the formula:
Experimental probability=(# of occurrence of the event)/(total # of trials made)
=6/20
=3/10
Answer: 3/10