Answer:
SB or ? = 9
Step-by-step explanation:
Since the two triangles are similar.
((18 + 6) / 6) = 24 / 6 = <u>4</u>
[Scale factor between ∆BCU and ∆SUT]
SB or ? = 12 – 12/<u>4</u> = 12 – 3 = 9
Answer:
The area of the associated sector is
Step-by-step explanation:
step 1
Find the radius of the circle
we know that
The circumference of a circle is equal to

we have

substitute and solve for r


step 2
Find the area of the circle
we know that
The area of the circle is equal to

we have

substitute

step 3
Find the area of the associated sector
we know that
subtends the complete circle of area 
so
by proportion
Find the area of a sector with a central angle of 

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
<h3><u>
Answer:</u></h3>
The formula determine the distance from C to D is:

<h3><u>
Step-by-step explanation:</u></h3>
The formula that can be used to determine the distance from point C to point D is:

We know that distance between two points A(a,b) and B(c,d) is equal to the length of the line segment AB and is calculated by the help of the formula:

So, here we have:
(a,b)=(a,b) and (c,d)=(0,b)
Answer:
First one is 25/2
Step-by-step explanation:
12×2+1=25/2
9×4+1=36/4
cross multiply and you get
100/
divide both by 2 and you get 50/4 then you divide both by 2 again and you get 25/2 because you can't reduce it anymore