Answer:
Ans: 1/12
Step-by-step explanation:
No. of events:4+4+1+3=12
Let the no. of events be E
Let the no. of packs of gum be P1
Prob. of choosing a pack of gum=P1/E
Probability=1/12
Answer:
30
Step-by-step explanation:
let number of questions in the test be x
9 of the first 10 questions are correct
so only x-10 questions remain
3/10 of the (x-10) = 3/10(x-10) questions are correct
scored 50% for the whole test
so only half of x = x/2 questions are correct
combining the above:
9+3/10(x-10) = x/2
9+3/10x-3=x/2
9-3=(1/2-3/10)x
1/5x=6
x=30
Answer:
A,B,G
Step-by-step explanation:
The following choices describe exponential growth:
1) The number of butterflies in an area increases by 10% per year.
3) Kristy bought a collector's coin for $2.15 and its value increases at a rate of 3% per year.
Answer:
Option C. 3
Step-by-step explanation:
Let M1 be the slope of the red line
Let M2 be the slope of the green line
From the question:
Slope of red line (M1) = – 1/3
Slope of green line (M2) =.?
The slopes of perpendicular lines are related as follow:
M1 = –1 / M2
With the above formula, the slope of the green line (M2) can be obtained as illustrated below:
Slope of red line (M1) = – 1/3
Slope of green line (M2) =.?
M1 = –1 / M2
– 1/3 = –1 / M2
Cross multiply
– 1 × M2 = – 1 × 3
– 1 × M2 = – 3
Divide both side by –1
M2 = – 3/ –1
M2= 3
Therefore, the slope of the green line is 3.