Answer:
6(6x^2-4x-3)
Step-by-step explanation:
pull out the gcf which is 6 and it is complete because it is impossible to factor 6x^2-4x-3
Alright,
So LCM stands for "least common multiple"
While GCF is "greatest common factor"
Let's look at your number 1 (3&6)
3,6,9,12
6,12,18,24
Both times table has 6 in them making 6 the LCM
To find the GCF we need to know what can go into 3 equally. Since 3 is prime the greatest factor for 3 is....3. 6 goes into 3 two times so 3 is the GCF.
LCM:6
GCF:3
Lets do number 10 (40&4)
For LCM you see whats the smallest number that is in both times tables
4,8,12,16,20,24,28.......40
40,80, 160....
40 is the LCM because 40 is what's the smallest number between the two
GCF?
4 times 1 equals 4. Nothing bigger than 4 can make 4 (if your multiplying). That makes 4 automatically the GCF. :)
Step-by-step explanation:
The number which is repeated more times will be mode...
So...
11 is Answer
Answer:
Option B. 
Step-by-step explanation:
step 1
Find the central angle of the shaded sector
Remember that the diameter divide the circle into two equal parts ( 180 degrees each part)
so
Let
x -----> the measure of the central angle of the shaded sector
∠x+72°=180°
∠x=180°-72°=108°
step 2
Find the area of the circle
The area of the circle is

we have

assume

substitute


step 3
Find the area of the shaded sector
Remember that the area of the complete circle subtends a central angle of 360 degrees
so
by proportion find the area of a sector by a central angle of 108 degrees

Answer:
history test
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
He did better relative to the class in the test in which he had a higher Z score.
So:
History
Raul received a score of 75 on a history test for which the class mean was 70 with a standard deviation of 7. So we have 
So:



Biology
He received a score of 73 on a biology test for which the class mean was 70 with standard deviation 7. So we have 
So:



He had a higher Z score in the history test, so this is the test in which he did better relative to the rest of the class.