We can solve this problem by referring to the standard
probability distribution tables for z.
We are required to find for the number of samples given the
proportion (P = 5% = 0.05) and confidence level of 95%. This would give a value
of z equivalent to:
z = 1.96
Since the problem states that it should be within the true
proportion then p = 0.5
Now we can find for the sample size using the formula:
n = (z^2) p q /E^2
where,
<span> p = 0.5</span>
q = 1 – p = 0.5
E = estimate of 5% = 0.05
Substituting:
n = (1.96^2) 0.5 * 0.5 / 0.05^2
n = 384.16
<span>Around 385students are required.</span>
Answer:
3*4=12
12-2=10
10*2=20
20+15=35
35*2=70
Step-by-step explanation:
Answer:
$150,000
Step-by-step explanation:
The first step is to calculate the total number of units
= 2 +1 +2
= 5
If he buys at the rate of $30,000 for one unit then the total money spent on advertising can be calculated as follows
= 30,000 × 5
= 150,000
Hence the promoter spends $150,000 on advertising
1 glass of juice cost $3
1 glass of limonade costs $2
So the proportion between them (Orange) / (juice) = 3/2 or 3¹/₂
Answer:
The circle has an area of about 1385 square mm.
Step-by-step explanation:
Let's recall that circles have an area that can be found with the following formula:

where r is the radius of the circle.
Now, focus your eyes on the circle. We are shown that the diameter of this circle is 42 mm, but we only want the radius. Since the radius is half the diameter, the radius is 21 mm. Now, we can solve for the area of the circle.

So, to the nearest whole number, the area of the circle is 1385 square mm.