Answer:
Total no.of possible outcomes = 200 × 4 = 800
No.of favourable outcomes = 200 × 1 = 200
P (E) = no.of favourable outcomes / total no.of possible outcomes
= 200/800
= 1/4
Step-by-step explanation:
Let's represent the number of mochas bought with the variable
, and the number of lattes bought with the variable
.
Since there are
students, the total number of mochas and lattes bought must be
. This can be represented with the following equation:

We can also set up another equation based on the total amount spent on the coffe:

If we rearrange the first equation, we can solve for
:

If we substitute this into the second equation, we can solve for
:





Subtituting this back into the original equation, we can solve for
:



Therefore, 9 mochas and 14 lattes were bought.
Step-by-step explanation:
No. of points got from 1 stunt = 50.
No. of points deducted from 1 fail = 40.
6 stunts and 9 falls were gained last week.
So, A/C the number of points earned =
(6×50)-(9×40)
= 300 - 360
= -60
Her score today is 3 times her score from last week so multiply by 3
= (-60) × 3
= -180
If it were multiplied by -3 instead of 3 it would be...
(-60) × (-3)
= 180
The difference would be that on multiplying with positive 3 she would be 180 points in the whole but multiplying with negative three means she is 180 points in the league.
The similarity is that that whole number is same but the symbol adds a difference and the absolute value would be same too.
Answer:
A) 5
Step-by-step explanation:
distance = √(distance between x coordinates² + distance between y coordinates²)
the horizontal distance between the two points is 4
the vertical distance between the two points is 3
to prove this, if you started at Q and went 4 points right and then 3 points up, you would get to P
distance = √(4²+3²) = √25 = 5