Answer:
The correct answer is "
".
Step-by-step explanation:
Given:
n = 21
s = 3.3
c = 0.9
now,


⇒
=
= 
⇒
= 
hence,
The 90% Confidence interval will be:
= 
= 
= 
= 
Just solve until the answers are the same
25 times x plus 30 for John
15 times x plus 50 for Mary
Answer:
f(n) = 6n + 12
Step-by-step explanation:
There is a common difference in consecutive number of seats, that is
42 - 36 = 36 - 30 = 30 - 24 = 24 - 18 = 6
This indicates the sequence is arithmetic with nth term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 18 and d = 6 , then
f(n) = 18 + 6(n - 1) = 18 + 6n - 6 = 6n + 12
Answer:
40
Step-by-step explanation:
Find the other missing angle, which is supplementary to 100 first.
Supplementary angels are a sum of 180
The missing angle is 180-100 = 80
Now use that to find missing angle x
All angles in the triangle have a sum of 180
180 = 60+80+x
180-60-80=x
40 = x
Step-by-step explanation:
Length of arc of a circle is given as:

Thus, the measure of central angle is 140°.