Step-by-step explanation:
the slope of a line is always the factor of x.
here : 1/2
it is the ratio y/x indicating how many units y changes, when x changes a certain angina amount of units when going from one point to another.
a perpendicular slope puts x and y upside-down and flips the sign.
here : -2/1 = -2
so, the equation looks like
y = -2x + b
b is the y-intercept, and we get this by putting the x and y coordinates of the given point into this equation and solve for b :
-1 = -2×-2 + b
-1 = 4 + b
b = -5
the full equation is therefore
y = -2x - 5
Answer:
13,475
Step-by-step explanation:
First hour
350 people at $17.50 per ticket
350* $17.50 =$6125
Second hour
We add 20% more
350+350*.20 =350+70 =420
There were 420 people at $17.50
420*$17.50 =$7350
Add the total for the 2 hours
6125+7350=13,475
Answer:
dependent events since P(A and B) is not equal to P(A) * P(B)
Step-by-step explanation:
According to the Question,
- Given, The probability that Jane will go to a ballgame (event A) on a Monday is 0.73, and the probability that Kate will go to a ballgame (event B) the same day is 0.61. The probability that Kate and Jane both go to the ballgame on Monday is 0.52.
Thus, The events A, B and A∩B are:
A - Jane will go to a ballgame on Monday;
B - Kate will go to a ballgame on Monday;
A∩B - Kate and Jane both go to the ballgame on Monday.
- P(A)=0.73, P(B)=0.61, P(A∩B)=0.52.
- Pr(A)⋅Pr(B) = 0.73⋅0.61 = 0.4453 ≠ 0.52
So, events A and B are dependent events since P(A and B) is not equal to P(A) * P(B)
See attachment for the graph of the set (1, ∞) ∩ (−10, ∞)
<h3>How to graph the set on a number line?</h3>
The set is given as:
(1, ∞) ∩ (−10, ∞)
The above means that the numbers inclusive in the set are numbers between the following set:
- (1, ∞): All real numbers greater than 1
- (−10, ∞): All real numbers greater than -10
The intersection of the above set is (1, ∞)
This means that the set (1, ∞) ∩ (−10, ∞) is a set of all real numbers greater than 1
Having done the above illustration, next we plot the set on a number line
See attachment for the graph of the set (1, ∞) ∩ (−10, ∞)
Read more about number lines at:
brainly.com/question/24644930
#SPJ1
Answer: There is a 50% chance one will land on heads.
Step-by-step explanation:
