For A the great common factor is 3 because if you were to do 3,6,9 and then 36- 3,6,9,12,15,18,21,24,27,30,36 the greatest common factor (GCF) would be 3.
For B the greatest common factor is 28 because if you were to do 7,14,21,28, twenty-eight is the highest number possible and for 42 you would do 7,14,21,28,35,42 the highest number possible for them to match would be 28 so the answer is 28 for B
Answer:
The correct answer is B. 2/3 < 3/4.
Answer:
Her second lap was <u>8%</u> better when compared to her first lap.
Step-by-step explanation:
Given:
Emily ran her first lap in 75 seconds she ran her second lap in 69 seconds.
Now, to find how much better was her second lap when compared to her first lap.
Emily ran her first lap in 75 seconds.
Emily ran her second lap in 69 seconds.
So, we get the difference in seconds:

<u><em>Thus, in her second lap she was 6 seconds better than first.</em></u>
Now, to get the percentage of her first lap better than second:



Therefore, her second lap was 8% better when compared to her first lap.
Answer:

Step-by-step explanation:
The z-score tells us how many standard deviations a value is away from the mean.
The formula is:

where x is the value,
is the mean, and s is the standard deviation.
We want to find the z-score for the score of an 83, the mean is 72, and the standard deviation is 5.

Substitute the values into the formula.

Solve the numerator.

Divide.

The z-score is 2.2, which means the score of 83 is 2.2 standard deviations above the mean.