Answer:
Step-by-step explanation:
A
No 24 is not the best number to use for the LCD, although it will work. 12 is much better because it is smaller.
B
Factor each number into it's primes.
24 =<u> 2*2*2</u>*3
32 = <u>2*2*2</u>*2*2
The highest common factor is 2*2*2 = 8
C
9/10 - 3/10 = 6/10 The denominator remains the same. The numerators get subtracted.
6/10 = 3/5 Two goes into both numerator and denominator of the answer. Therefore you can divide both 6 an 10 by 2
Answer: original angle = 75°
Its supplement 105°
Its complement = 15°
Step-by-step explanation:
We know that,
- Sum of supplementary angles is 180 degrees.
- Sum of complementary angles is 90 degrees.
Let x be the original angle , then its supplement = 180° - x
its complement = 90° - x
As per given,
180° - x = 7(90° - x)
⇒ 180° - x = 630° - 7x
⇒ 7x- x = 630° -180°
⇒ 6 x = 450°
⇒ x = 75° [divide both sides by 6]
So, original angle = 75°
Its supplement = 180° - 75° = 105°
Its complement = 90° -75° = 15°
Hence, original angle = 75°
Its supplement 105°
Its complement = 15°
Answer:
Range = 13
Mean = 8.3
Variance = 17.61
Step-by-step explanation:
Given the population dataset :
2, 9, 15, 4, 12, 9, 13, 6, 3, 10
1.) Range : (maximum - minimum)
Maximum = 15 ; minimum = 2
Range = (15 - 2) = 13
2.) population mean (μ) :
μ = ΣX / n
n = sample size
μ = (2 + 9 + 15 + 4 + 12 + 9 + 13 + 6 + 3 + 10) / 10
μ = 83 / 10
μ = 8.3
3.) Population variance (s²)
Σ(x - μ)² / n
=[(2 - 8.3)^2 + (9 - 8.3)^2 + (15 - 8.3)^2 + (4 - 8.3)^2 + (12 - 8.3)^2 + (9 - 8.3)^2 + (13 - 8.3)^2 + (6 - 8.3)^2 + (3 - 8.3)^2 + (10 - 8.3)^2] / 10
s² = 176.1 / 10
s² = 17.61
