The answer would be 5,400 ( 3000 times 0.15 would be 450 then, 450 times 12 is 5,400.)
Answer:
Expected Number=71
Variance =4959
Standard Deviation= 70.42
Step-by-step explanation:
Expected Number = E (x) = np
Here p = 0.71 and q= 1- 0.71= 0.29 n= 100
Expected Number = E (x) = np = 0.71*100= 71
b) The Variance and Standard Deviation for the number of these tweets with no reaction
Suppose the number of tweets are hundred then the number of tweets with no reaction would be 71 .
Variance = E(x²) - [E(x)]² = (100)²- (71)²= 10000- 5041= 4959
Standard Deviation= √4959= 70.42
The polynomial as per the given of the problem is f(x)=3x²-21x+30
Find the roots of this polynomial:
x₁=[-b+√b²-4ac)]/2a and x₂ =[-b-√b²-4ac)]/2a
Plug in : x₁ = [21+√(21²-4(3)(30)]/6 = [21+√81}/6 ; x₁ = 5
and x₂ = [21-√(21²-4(3)(30)]/6 = [21-√81]/6 ; x₂ = 2
Remark: I don't understand where did you bring √5 , it should be 5
Answer: Shania is correct.
Step-by-step explanation:
For a right angled triangle, given two sides and an angle, we can use the sine rule or the various trigonometry identities to solve the triangle;
a/sin A = b/sinB
and
sin (angle) = opposite side/hypotenuse
cos (angle) = adjacent side/hypotenuse
tan (angle) = opposite/ adjacent
assuming a is the opposite side of angle A and b is also opposite of angle B
Otherwise, the only way to solve a triangle given two sides only is by the use of the Pythagoras theorem.
Hence, Shania is correct.
Anything with || around it is a whole value. It’s always a positive. For example, |-56|=56. Now, if the negative was on the outside, it would be a negative like so; -|10| =-10