Answer:
24
Step-by-step explanation:
Step-by-step explanation:
because angle A and C are similar, so
9x-8=28
9x=36
x=4
Answer:
111 minutes
Step-by-step explanation:
step 1
Find out how long are the six commercial
Multiply the number of commercials by 90 seconds
so

Convert to minutes
Remember that


step 2
Subtract the duration of six commercials from the duration of the program
Remember that

so

therefore

Answer:
c) .22
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.
In this question:

Then



Answer:
7) circumference = 11.78 ft
8) arc NMP = 198° or 27.63 ft
Step-by-step explanation:
7) circumference = πd = (3.14) (3 3/4) = 11.78 ft
8) radius = 8 ft
diameter = 2 x 8 = 16 ft
arc NM + arc QP = 360° - 162° - 162° = 36°
arc NM = arc QP because they are arcs of vertical angles.
arc QP = 18°
arc NMQ = 180°
arc NMP = 180° + 18° = 198°
circumference = πd = (3.14)(16) = 50.24 ft
(198°/360°)(50.24) = 27.63 ft