Since the mean of the distribution is 110, and the distribution is normal, then 50% of the the people will have scores below 110.
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. :)
Answer:
5
m
^3
n^3
(
125
m^
4
+
2
m
−
6
)
Step-by-step explanation:
5. Answer: see explanation
<u>Step-by-step explanation:</u>
If the roots are m and 3m, then x = m and x = 3m
⇒ x - m = 0 and x - 3m = 0
⇒ (x - m)(x - 3m) = 0
⇒ x² - 4mx + 3m² = 0
Since x² + px + q = 0 then p = -4m and q = 3m²
3p² = 3(-4m)² 16q = 16(3m²)
= 3(16m²) = 48m²
= 48m²
3p² = 48m² = 16q ⇒ 3p² = 16q
**********************************************************************************************
6. Answer: 8 or 18
<u>Step-by-step explanation:</u>
The Area of the entire rectangle (A = L × w) is 12 × 10 = 120
The Area of the shaded region is 72, so the Area of the non-shaded region is 120 - 72 = 48.
There are two non-shaded triangles.
- Bigger non-shaded Δ: L = 12-x, w = 10 ⇒
- Smaller non-shaded Δ: L = x, w = x ⇒
Combine the Areas of both triangles and set it equal to the Area of the non-shaded region:
Area of ΔBEF:
Answer:
arithmetric
Step-by-step explanation:
the difference is so simple