Answer:
Step-by-step explanation:
To find out if a point (x, y) is on the graph of a line, we plug in the values and see if we get a true statement, such as 10 = 10.
Answer:
No, a compound containing 12 atoms of sodium and 15 atoms of oxygen could not be sodium carbonate. When its ratio of atoms is reduced to the lowest terms, it is not the same as sodium carbonate. 4:5 ≠ 2:3
Step-by-step explanation:
Use ratios to solve this problem.
In sodium carbonate, the ratio for the number of atoms for sodium to oxygen (sodium:oxygen) is 2:3.
Check if the ratio for the compound with the ratio 12:15 is equal to 2:3.
Reduce the ratio 12:15 to lowest terms, just like how you would reduce a fraction. Find the GCF (greatest common factor). The left and right sides are both divisible by 3.
12/3 = 4
15/3 = 5
The ratio in the compound is 4:5.
4:5 ≠ 2:3
Since the ratios are not the same, the compound is not sodium carbonate.
Answer:
b) LeBron is relatively taller because he has a larger z-score.
Step-by-step explanation:
Z-score:
In a set with mean 
and standard deviation 
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
LeBron James:
Height of 81 inches, while the average 30- to 39-year old man is 69.5 inches tall, with a standard deviation of 2.7 inches, which means that we have to find Z when 
Candace Parker:
Height of 76 inches, while the average 30- to 39-year old woman is 64.2 inches tall, with a standard deviation of 3.2 inches. This means that we have to find Z when 
Who is relatively taller?
Due to the higher z-score, LeBron James, and thus, the correct answer is given by option b.
Independent variable doesn’t change, dependent variable has a value that depends on another,
623 is close to 650 so you round that up to 650 and 0.67 is rounded to 0.65
650 x 0.65 = 422.5
Round 422.5 = 420
Your welcome :)
