Answer:
0.68 : 0.32
Step-by-step explanation:
the probability of all the outcomes of an event is always 1 .
if P(E) = 0.32,
P(E') = 1 - 0.32
= 0.68
N.B that P(E') is the same as P( not E ).
since your answer should be given in the ratio form, as the odds against E ( probability not E : probability E),
P(E') : P(E)
0.68 : 0.32
hope this helps you!
-s.
Answer:
Step-by-step explanation:
Given Equation:
Solving the bracket on L.H.S
Taking the terms of 'x' to one side and the constants to other side
The value of 'x' after solving the equation is:
Remember x is x and f(x) is same thing as y.
f(5) = 4
It is same thing as saying, when x = 5, y aka f(x) should be 4. Aka the point (5,4)
Let’s look at D, if x =5 then f(x)=5? No, it should equal 4. So this is wrong. It is also not linear. So NOT D
Lets look at C, if x =5 then
1/5(5)+3 =
5/5 + 3 =
1+3 =
4
So, f(x) aka y = 4. Is this correct? Yes when x =5, y indeed should equal 4, but it is not linear. So NOT C
Lets look at B, if x=5 then,
2^5 -28 =
32 - 28 =
4
So, f(x) aka y = 4. Is this correct? Yes when x =5, y indeed should equal 4, AND it is linear SO THE ANSWER IS B
Check A too, it gets y=14 so thats wrong as it is not 4.
Angular velocity = 300 revolutions per minute
1 revolution = 2π radians.
So, we can write:
Angular velocity = 300 x 2π radians per minute = 600π radians per minute
1 minute = 60 seconds.
So,
Angular velocity = 600π radians per 60 seconds
⇒
Angular velocity = 10π radians per second
Angular velocity = 31.42 radians per second
Thus, rounding of to nearest hundredth, the angular velocity will be 31.42 radians per second.
Answer:
x³ - 8x² - 20x
Step-by-step explanation:
Zeroes: 10, 0, -2
Factors are: (x - 10), (x - 0), (x + 2)
Multiply all factors to get expression:
(x - 10)x(x + 2) = x(x - 10)(x + 2)
= x(x² - 10x + 2x - 20)
= x(x² - 8x - 20)
= x³ - 8x² - 20x
