Answer:
269
Step-by-step explanation:
The margin of Error is E = 0.05
The level of significance is, α = 1 - confidence level = 1 - 0.9 = 0.1
Assume that the proportion is, p =0.5
From the standard normal table, observe that the critical value of Z for two tail test and 10% level of significance is 1.64
The calculation of sample size is as follows: n = (Z/E)²p(1-p)
n = (1.64/0.05)²0.5 (1 - 0.5)
n = (1.64/0.05)² 0.25
n = 1075.84 × 0.25
n = 268.96 ≈ 269
The required sample size with the given margin of error approximately is 269. This value indicates the size of the customers who are using this company’s products.
Answer:
Each bus could pick up 49 students
Step-by-step explanation:
(449-8):9=49
Circumference<span> = 2 x </span>Radius<span> x Pi C = 2 * r * π, where: r = </span>radius<span> and π = </span>3.14<span> 1) All you have to do is substitute in order to find the </span>radius<span> (r) of the </span>bike tire<span>, C = 2πr 82.896 = 2 * </span>3.14<span> * r 82.896 = 6.28 * r r = 82.896 / 6.28 r = 13.2. Thus, r = 13.2 which means that the </span>radius<span> of the circle (</span>bike tire<span>) is 13.2 </span>inches<span> </span>
Answer:
<h2><em><u>
960 people </u></em></h2>
Step-by-step explanation:
If each side of the basketball arena is 20 ft. X 30 ft, the area of each side of the basketball arena = 20ft * 30ft = 600ft².
Since all the four sides are filled with people, the total area of the 4 sides will be expressed as 4*600 = 2400ft²
If each person takes up 2.5ft², total number of people in the arena will be gotten by simply dividing the area of all the four sides by the area took up by each person.
Total number of people in the arena = area of all the four sides by the area/ area took up by each person.
Total number of people in the arena = 2400/2.5
Total number of people in the arena = 960 people.
<em><u></u></em>
<em><u>Hence there are approximately 960 people in the arena.</u></em>
Answer:
Jeff mows 9 yards of lawn in 30 minutes
Step-by-step explanation:
The equation that models the amount of time (t) in minutes it takes Jeff to mow an average sized yard is 
, where n is the number of yards he mows.
To find the number of yards Jeff mows in 30 minutes, we set the equation to 30 and solve for n.
Add -12 to both sides:
Divide both sides by 2
Hence Jeff mows 9 yards of lawn in 30 minutes.
