Answer:
29, 26, 21, 14, 5
Step-by-step explanation:
To find the first 5 terms, substitute n = 1, 2, 3, 4, 5 into the n th term formula.
30 - 1² = 30 - 1 = 29
30 - 2² = 30 - 4 = 26
30 - 3² = 30 - 9 = 21
30 - 4² = 30 - 16 = 14
30 - 5² = 30 - 25 = 5
The first 5 terms are 29, 26, 21, 14, 5
Answer:
option a
Explanation:
AD and DE are perpendicular lines, meaning they are at a 90° angle. likewise, AD and AB are also perpendicular lines. this means that there are 90° angles at ∠ADE and ∠DAB.
since both DE and AB are perpendicular to the same line and are positioned at the same angle away from it, they are parallel lines.
i hope this helps! :D
Answer:
C. c = -4
Step-by-step explanation:
you must get c by itself. you have to divide both sides by 10. this gets rid of the 10c and keeps both sides equal
-40/10 = c
c = -4
We need to find out how many adults must the brand manager survey in order to be 90% confident that his estimate is within five percentage points of the true population percentage.
From the given data we know that our confidence level is 90%. From Standard Normal Table we know that the critical level at 90% confidence level is 1.645. In other words, 
.
We also know that E=5% or E=0.05
Also, since, 
is not given, we will assume that =0.5. This is because, the formula that we use will have 
in the expression and that will be maximum only when =0.5. (For any other value of , we will get a value less than 0.25. For example if, is 0.4, then 
and thus, 
.).
We will now use the formula
We will now substitute all the data that we have and we will get
which can approximated to n=271.
So, the brand manager needs a sample size of 271
