The number of ways to select 4 digits from 10 digits is
₁₀C₄ = 10!/(4!*6!)
= (10*9*8*7*6!)/(4*3*2*1*6!)
= (10*9*8*7)/(4*3*2)
= 210
If order is not important, the number of arrangements of 6,7,8,9 in any order is
4! = 4*3*2*1
= 24
The probability that these 4 digits are assigned is
24/210 = 0.1143
The situation described above forms an arithmetic series with first term (a1) equal to 22 and common difference (d) equal to 3. The sum of the first 10 terms is calculated by,
Sn = (n/2) x (2a1 + (n - 1) x d))
Substituting,
S10 = (10/2) x (2 x 22 + (10 - 1) x 3))
The value is 355. Therefore, the answer is letter "B. $355"
Answer:
X = 0, π/2 in the interval [0, 2pi).
Step-by-step explanation:
Use the auxiliary angle method:
R sin(x + a) = Rsin x cos a + Rcos x sin a = 1
sin x + cos x = 1
Comparing coefficients:
R cos a = 1 and R sin a = 1, so
tan a = R sin a / R cos a = 1
So a = π/4 radians.
Also R^2(sin^2 a + cos^2 a) = 1^2 + 1^2 = 2
Therefore R = √2.
So √2 sin (x +π/4 = 1
sin x + π/4 = 1/√2
x + π/4 = π/4
x = 0 radians
Also
x = 0 + π/2 = π/2.
Answer:
B,D
Step-by-step explanation:
Just use PEMDAS, comment in more explanation is needed
What table are you toking about