Answer:
1/18
Step-by-step explanation:
We are considering that we have 2 dices with 6 faces each (so, the probability to gettig any face in any dish is 1/6). To get an 11, we only have two ways to obtain it:
Dice 1= 6 and Dice 2 =5
or
Dice 1= 5 and Dice 2 =6
So, the probability of the event is given as:
P(Dice1=5 ∧ Dice2=6) ∪ P(Dice1=6 ∧ Dice2=5) = P(Dice1=5) x P(Dice2=6) + P(Dice1=6) x P(Dice2=5) = 1/6 x 1/6 + 1/6 x 1/6 = 1/36 + 1/36 = 2/36 = 1/18.
As 1/18 = 0,055, and 0,055 > 0,05, we consider the event as not significative (according to the definition of significance in the sentence).
We have:
The generic equation of the line is: y-yo = m (x-xo)
The slope is:
m = (y2-y1) / (x2-x1)
m = (- 2-0) / (3-0)
m = -2 / 3
We choose an ordered pair
(xo, yo) = (0, 0)
Substituting values:
y-0 = (- 2/3) (x-0)
Rewriting:
y = (- 2/3) x
Answer:
The equation of the line is:
y = (- 2/3) x
Answer:
Give me a heart and 5 stars
Step-by-step explanation:
Answer:
x= -3
Step-by-step explanation:
hello :
-2x+7=-6x-5
-2x+7+6x=-6x-5 +6x
4x+7=-5
4x+7-7=-5-7
4x= -12
x= -12/4
x= -3
Answer:
Step-by-step explanation:
A vertical stretch by a factor of k means that the point (x, y) on the graph of f (x) is transformed to the point (x, ky) on the graph of g(x), where k <1.
If k =1, then same graph we obtain and if k>1 we get a vertically shrink graph.
In our question, there is a vertical stretch of 3. This means new graph would have points as (x,y/3)
i.e. instead of f(x) = y, we have now f(x) = y/3
So transformation is g(x) = 3f(x)
Option A is correct.
2) Here f(x) = 3x+8 is transformed to g(x) =3x+6
i.e. y intercept is reduced by 2 units. Hence there is a translation of 2 units down.
