Answer: 15%
Explanation: if it has 15% chance of rain on any given day so that’s 15% chance on every day that week and I’d think about rescheduling that vacation for another week
First picture)
I: 5x+2y=-4
II: -3x+2y=12
add I+(-1*II):
5x+2y-(-3x+2y)=-4-12
8x=-16
x=-2
insert x=-2 into I:
5*(-2)+2y=-4
-10+2y=-4
2y=6
y=3
(-2,3)
question 6)
I: totalcost=115=3*childs+5*adults
II: 33=adults+childs
33-adults=childs
insert childs into I:
115=3*(33-adults)+5*adults
115=99-3*adults+5*adults
16=2*adults
8=adults
insert adults into II:
33-8=childs
25=childs
so it's the last option
question 7)
a) y<6 and y>2 can also be written as 2<y<6, so solution 3 exist for example
b) y>6 and y>2 can also be written as 2<6<y, so solution 7 exist for example
c) y<6 and y<2 inverse of b: y<2<6, so for example 1
d) y>6 and y<2: y<2<6<y, this is impossible as y can be only either bigger or smaller than 2 or 6
so it's the last option
question 8)
I: x+y=12
II: x-y=6
subtract: I-II:
x+y-(x-y)=12-6
2y=6
y=3
insert y into I:
x+3=12
x=9
(9,3)
question 9)
I: x+y=6
II: x=y+5
if you take the x=y+5 definition of II and substitute it into I:
(y+5)+y=6
which is the second option :)
Answer:
2 times 3 is 6 to the 2nd power is 36 - 5 to the second power is 25
36-25=11
Step-by-step explanation:
Answer: 7/12
Step-by-step explanation:
number of times it landed on A = 6
number of times it landed on B = 21
number of times it landed on C = 9
Total number = 36
The empirical probability that the spinner will land on B is given by
P(B) = number of times it landed on B / Total number , that is
p(B) = 21/36
P(B) =7/12
Note: Empirical means verifiable by observation or experience rather than theory and it was verified that it landed on B 21 times.