What is cos 60? A. B. C. 1 D. E. F.
1 answer:
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Answer:
A) To ensure the correct and exact straight height
B) 15 inches
C) 24.87 in
Step-by-step explanation:
Hello! Lets start!
First, it asks us to explain why the two bases must be parallel. In order to measure the correct and exact height, we must be sure that the bases are parallel, or else there would be a range of heights; in order to ensure that you are measuring a straight distance, they must be parallel!
Second, it asks us to identify the height of cone. To do this, we must make a slope! We can see that, for every time we go down 5 inches, we lose 1 inch of our base! Our slope in this situation would be -5. So, lets continue to see how long before the cone reaches its tip, in which the base would be equal to 0. At 5 inches, our base is 2 inches. At 10 inches, our base is 1 inch. At 15 inches, we do not have a base, as it equals 0! So therefore, our cone height is 15 inches.
Third, it asks us to identify the volume of the cup, which is also called a <em>circular truncated cone. </em>To do so, we can use the formula:
₁
Lets plug in our information!
Hope this helps! Remember, math is fun!
Answer: The difference is 300 customers.
Step-by-step explanation:
For each week the proportion of customers that like vanilla frozen yogurt is equal to the number of customers that said they like it, divided by the sample (40 for each week)
week 1: p1 = 14/40 = 0.35
week 2: p2 = 18/40 = 0.45
week 3: p3 = 12/40 = 0.3
Then we can calculate the average proportion as:
P = (p1 + p2 + p3)/3 = 0.367
Now, knowing that in a week the shop has about 2500 customers, we can expect that 36.7% of them like the vanilla frozen yogurt,
This is:
N = 2500*0.367 = 916.6
But we can not have a 0.6 of a customer, so we should round it to the nearest whole number, which is 917.
Now, the standard deviation of this will be:
wich is the summation of the squared difference with the mean of each value, divided by the number of repetitions minus one (3 - 1 = 2)
S = 0.075
Then the largest proportion is equal to the mean plus the standard deviation (P + S), and the smallest proportion is equal to the mean minus the standard deviation (P - S):
if we want to calculate the difference between those estimations, we need to calculate:
Diff = (P + S)*2500 - (P - S)*2500 = 2*S*2500 = 2*0.075*2500 = 300
So between the lower and the higher estimations, the difference is 300 customers.