<u>Answer:</u>
The correct answer option is: 4.
<u>Step-by-step explanation:</u>
We are given the following two functions and we are to find the value of 
:
Finding 
:
So, 
Note that a:b = c:d is the same as a/b = c/d
y:1.5=0.2:0.75 same as y/1.5 = 0.2/0.75
y = 0.4
x: 1 2/3=y:3 1/3 same as x/1 2/3 = y / 3 1/3
x = y/2 = 0.2
This would just be 7 1/5 + 3/5 since the negative sign gets distributed and makes (-3/5) into a positive number.
From there you have basic math and you get 7 4/5.
Answer:
16%
Step-by-step explanation:
The Empirical Rule claims that 68% of the values in a normal distribution are within 1 standard deviation of the mean, 95% are within 2 standard deviations, and 99.7% are within 3. Using this here, we can see that 102 is exactly 1 standard deviation from the mean, as 94 + 8 * 1 = 102.
We also know that a normal distribution is symmetric, meaning that there is an equal distribution on both sides of the mean. Therefore, we can say that 50% of the values are above the mean. Next, 68% of values are within 1 standard deviation of the mean, so here, we can say that 34% of values are between the mean and 1 positive standard deviation of the mean. We want to find how many values are greater than 1 standard deviation of the mean. This is equal to (total amount of values greater than the mean) - (total amount of values greater than the mean but not greater than 1 standard deviation of the mean) = 50% - 34% = 16%
