A sample size of 60 is required.
We use the formula
We first find the z-score associated with this level of confidence:
Convert 99% to a decimal: 99/100 = 0.99
Subtract from 1: 1-0.99 = 0.01
Divide by 2: 0.01/2 = 0.005
Subtract from 1: 1-0.005 = 0.995
Using a z-table (http://www.z-table.com) we see that this value is equally distant from 2.57 and 2.58; therefore we will use 2.575:
Answer: 84 people
Step-by-step explanation:
From the question, 240 people are going to a charity event and 3/5 of the guests have ordered chicken for their meals. This means (3/5 × 240) = 144 people ordered chicken. Since 144 people have ordered, the number of remain people left will be:
= 240 - 144
= 96 people.
Out of the remaining guests which is 96, 12.5% have ordered gluten free meals. This means (12.5% × 96) = 12 ordered gluten free meals.
The people who haven't ordered their meals yet will be:
= 96 - 12
= 84 people.
22% liked neither.
Step-by-step explanation:
Given,
64% liked pop music.
52% liked rap music.
38% liked both type of music.
To find out the percentage of those liked neither.
Now,
Let, total number of student = 100
Number of students liked pop = 64
Number of students liked rap = 52
Number of students liked both = 38
So,
Number of students who liked only pop = 64-38 = 26
Number of students who liked only rap = 52-38 = 14
Hence,
Number of students who liked neither = 100 - (26+14+38) = 22
22% liked neither.
Answer:
t = 1.57 sec
distance, d = 98.65 mm
Step-by-step explanation:
Given an angle of 540°
At 6 revolutions per second, which is the angular velocity.
Radius, r = 10 mm
We are asked to find the time and the distance.
To find the time, let's use the formula:
Where 
= angle in radians.
Converting 540° to radians, we have:
Therefore, from the formula, let's find t.
time = 1.57
To find the distance, we have:
d = 98.65 mm
Therefore, the time is 1.57 seconds and the distance is 98.65 mm
