Answer:
31 is a positive number, while -169, -369, and -569 is negative.
Step-by-step explanation:
Negative numbers, are numbers less then 0 and include a negative sign that looks like this "-".
Positive numbers are numbers above 0 and don't include a negative sign.
-169, -369, and -569 is negative because they have a negative symbol and the number is below 0, while 31 is positive because it's above 0 and doesn't include a negative sign.
Answer: 0.6065
Step-by-step explanation:
Given : The machine's output is normally distributed with


Let x be the random variable that represents the output of machine .
z-score : 
For x= 21 ounces

For x= 28 ounces

Using the standard normal distribution table , we have
The p-value : 

Hence, the probability of filling a cup between 21 and 28 ounces= 0.6065
Y=5x+12
Y being the total amount and x being the number of games
The mean proportion is p = 36/120 = 0.3.
The standard deviation of the proportion will be sqrt(p*(1-p)/n) = sqrt(0.3*0.7/120) = 0.0418. We multiply this by the z-score of 1.645 to get a deviation of 0.0688.
Therefore, the confidence interval is (0.3 - 0.0688, 0.3 + 0.0688), which is
(0.2312, 0.3688).
Answer:
Equations 1 & 3 are correct.
Explanation:
Equation 2's actual answer is -8, and Equation 4's actual answer is positive 7.