Answer:
first things first, you need to find out how much juice you have: 30 + 20 + 50 = 100, so 100 ml of juice. all together, the juice is 100%, or 1. separated, the amounts are 30%, 20%, and 50%, therefore the amount of coconut milk in the cocktail you have is 50%, or 1/2.
Answer:
a. n=4148
b. n=3909
c. The sample size is smaller if a known proportion from prior study is used. The difference in sample sizes is 239
Step-by-step explanation:
a. For sample where no preliminary estimate is given, the minimum sample size is calculated using the formula:
Where:
Margin of error
is the assumed proportion
#Let p=0.5, substitute in the formula to solve for n:
Hence, the minimum sample size is 4148
b. If given a preliminary estimate p=0.38, we use the same formula but substitute p with the given value:
Hence, the minimum sample size is 3909
c. Comparing the sample sizes from a and b:
Hence, the actual sample size is smaller for a known proportion from prior a prior study.
Answer:
Step-by-step explanation:
In an isosceles trapezoid, the opposite sides are equal.
The formula for determining the area of a trapezoid is expressed as
Area = 1/2(a + b)h
Where
a and b are the length of The bases are the 2 sides of the trapezoid which are parallel with one another.
h represents the height of the trapezoid.
From the information given,
a = 6
b = 8
height = 16
Therefore,
Area of trapezoid = 1/2(6 + 8)16
= 1/2 × 14 × 16 = 112 square units
Answer:
177 Students
176 Adults
Step-by-step explanation:
Adult - (A) $5
Student - (S) $3.50
Equation 1: A+S = 353 tickets
Equation 2: 5A + 3.50S = $1500
Sub equation 1 into 2:
5A + 3.50(353 - A) = 1500
Multiply: 5A + 1235.50 -3.50A =1500
Subtract 1235.50 and -3.50A from both sides: 1.50A = 264.50 and then divide:
264.50/1.50 = 176 Adults
Sub into equation 1:
176 +S = 353
Solve: 353 - 176 = 177 Students
Check: 5(176) + 3.50(177) = $1500
1499.5 rounded = 1500 = 1500 ✔
I hope this helped!
