500 (non smokers)÷ 25(random students out of the group)= 20 inches.
20 inches ÷ 74 inches= 3.70
Answer:
-2
Step-by-step explanation:
The slope of a line is rise/run
So, just see how much the line rises/how much the line runs
In this case, the line rises 2 units for every -1 unit it runs
So, the slope is -2
Answer:
81
Step-by-step explanation:
the formula for an arithmetic sequence:
aₙ = a₁ + (n-1)d
where aₙ = the nth term
a₁ = the 1st term = -3
n = the term number = 13
d = the common difference = 7
Plugging in those values into the formula to find a₁₃:
a₁₃ = -3 + (13-1)7
= -3 + (12)7
= -3 + 84
= 81
Answer: 20/33
Step-by-step explanation:
According to the table of statistics given for the politicians
number of Dem. Senator = 20
number of Rep. Senator = 13
Total for Senators = 33
Let E be the event,
The required probability is:
P(E) = P(Dem)
= 20/33
Answer:
5, 8, 11, 14, 17,....
f(n) = 5+3n where n is the number of steps after the first two. 7 steps is 20 faces.
Step-by-step explanation:
A sequence is a list of numbers that are related. The first number in the sequence is 5 since the first part of the stairs has 5 faces (5 squares, the dark don't count). Every time you add a "stair" you add 2 blocks - one underneath to support and one as the step. This adds 3 faces. So 5 becomes 8. Repeat and 8 becomes 11. You add 3 faces each time. So the sequence is
5, 8, 11, 14, 17,....
This is a constant pattern of adding 3 each time after the initial start. So we can write a rule. We start with 5 + 3(each stair step). So if the cube is 7 stairs high, that is 5 more repetitions of adding blocks after the start (remember the start has 2 steps already). So 5 + 3(5) = 20. 7 steps high will have 20 faces.
