Given the universal set U = {v, w, x, y, z), and subsets A = {v, w, z} and B = {x, y, z), indicate the roster
lukranit [14]
If U = {v, w, x, y, z} and A = {v, w, z}, then
A' = {x, y}
(A' is the complement of A - it's the set containing all elements of U that are not in A)
If B = {x, y, z}, then
B' = {v, w}
Their their union is
A' U B' = {v, w, x, y}
Answer:
see explanation
Step-by-step explanation:
To solve the given quadratic equations, equate to zero, factorise and solve
given
x² - 19x + 48 = 0
Consider the factors of the constant term (+ 48) which sum to give the coefficient of the x- term (- 19)
The required factors are - 3 and - 16, hence
(x - 3)(x - 16) = 0
equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x - 16 = 0 ⇒ x = 16
----------------------------------------------------------------
given
x² + 21x - 100 = 0
Consider the factors of the constant term (- 100) which sum to give the coefficient of the x- term (+ 21)
The required factors are + 25 and - 4, hence
(x + 25)(x - 4) = 0
x + 25 = 0 ⇒ x = - 25
x - 4 = 0 ⇒ x = 4
Step-by-step explanation:
step 1. 17/21 - 2/10 = x (in order to subtract you need a common denominator)
step 2. (17/21)(10/10) - (2/10)(21/21) = x
step 3. 170/210 - 42/210 = x
step 4. 128/210 = 64/105 = x
step 5. x = 64/105.
No, a & b are not independent if they're mutually exclusive.
Mutually exclusive means the two events cannot occur simultaneously. So if "a" happens "b" cannot. In contrast, two events are independent if the occurrence of one has no effect on the occurrence of the other.
Answer:
4.47100222
Step-by-step explanation:
157/2.5=62.8
62.8/pi= 19.98986085
square root the answer above and you get 4.47100222 for the radius
