Answer:

Step-by-step explanation:
-For a known standard deviation, the sample size for a desired margin of error is calculated using the formula:

Where:
is the standard deviation
is the desired margin of error.
We substitute our given values to calculate the sample size:

Hence, the smallest desired sample size is 23
-4 + 3 = 7
8=8
(7,0) = DISTANCE BETWEEN THEM
Answer:
x=50
Step-by-step explanation:
(x-10)+x+90=180
2x-10+90=180
2x+80=180
2x=100
<u><em>x=50</em></u>
Answer:
11/ 42. *. X^ 2. * X = I/3 X A * h; if E = 1/3 A
Then the answer is EX
Step-by-step explanation:
Volume of cone= 1/3 * base area * height
= 1/3 * pi* (X/2)^2 * X
= 1/3. * 22/ 7 * X^3/4
= 22/ 21 * X^3 / 4
= 11/21 *. X^2/ 2. *. X
= 11/ 42. * X^3
= 11/ 42. *. X^ 2. * X
Step 
In the right triangle ADB
<u>Find the length of the segment AB</u>
Applying the Pythagorean Theorem

we have

substitute the values



Step 
In the right triangle ADB
<u>Find the cosine of the angle BAD</u>
we know that

Step 
In the right triangle ABC
<u>Find the length of the segment AC</u>
we know that




solve for AC

Step 
<u>Find the length of the segment DC</u>
we know that

we have


substitute the values


Step 
<u>Find the length of the segment BC</u>
In the right triangle BDC
Applying the Pythagorean Theorem

we have

substitute the values



therefore
<u>the answer is</u>
