Answer:
Step-by-step explanation:
We are asked to represent
as the product of the GCF and another sum.
First of all, we will find the greatest common factor of 18 and 24.
Factors of 18: 1, 2, 3, 6, 9, 18.
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24.
We can see that greatest common factor of 18 and 24 is 6. Let us write our given expression as product.
Factor our 6:
Therefore, our required expression would be
.
Answer:
Step-by-step explanation:
z-score representing 85% is 1.04 (from table)
Let x be the score representing the lower limit of 85%.
<u>Use the formula to find z-scores:</u>
<u>We have:</u>
<u>Substitute the values and solve for x:</u>
- 1.04 = (x - 78)/7
- x - 78 = 7.28
- x = 85.28
The lower limit of the top 15% is 85.28.
Since your score is greater than 85.28 you earned an A
The area of the figure is 13 square units
Solution: We are given:
ACT scores follow normal distribution with 
SAT scores follow normal distribution with 
Now, let's find the z score corresponding to Joe's SAT score 1351.




Therefore, Joe's SAT score is 1.56 standard deviations above the mean.
Now, we have find the Joe's ACT score, which will be 1.56 standard deviations above the mean.
Therefore, we have:






Therefore, Joe's equivalent ACT score to SAT score 1351 is 28.4
C) -23x + 12 .. You're going to multiply the 4 to what's inside the parenthesis. So you'll get 12-24x+x Then just add the like terms which are the x's. 12-23x or -23x+12