Answer:
A)n= 703.96
B)n= 602.308
Step by step Explanation:
Given that you want to be 99% confident that the sample percentage is within 3.1 percentage points of the true population percentage.
Then z/2 = 1.645
And M = 3.1% = 0.031
A)Nothing is known therefore,
p = q = 0.50
E=0.031
For 90% confidence, z = 1.645
n = (zα/₂)²(p)(1-p)/M²
n= 1.645²× 0.5 × 0.5/0.031²
n= 703.96
Therefore, 703.96randomly selected air passengers must be surveyed to be 99%
B)we know that recent surveys surgest that about 38% of all air passengers prefer an aisle seat, thus p = 35% = 0.35
n = (zα/₂)²(p)(1-p)/M²
n= (1.645²× 0.31 × 0.69)/0.031²
n= 602.308
Hence, 602.308 randomly selected air passengers must be surveyed to be 90% confident that the sample percentage is within 3.1 percentage points of the true population percentage.
The perimeter is defined as the sum of all the sides of any polygon.
A rectangle is a polygon with 4 sides and 2 pairs of parallel sides. Therefore, in order to find the perimeter of any rectangle, we can either add up all the sides given to you or use a formula which states that:
P = 2L + 2W
Where,
L is the length of the rectangle and W is the width of a triangle.
For example:
A triangle with length = 5 cm and Width = 3 cm.
The Perimeter will be:
P = 2×5 + 2×3
P = 10 + 6
P = 16 cm
Answer:
y = -2x - 1
Step-by-step explanation:
Parallel lines have the same slope, so the slope will also be -2.
Plug this slope and the given point into the equation y = mx + b and solve for b:
y = mx + b
5 = -2(-3) + b
5 = 6 + b
-1 = b
Then, plug this and the slope into the equation:
y = -2x -1 will be the equation
Answer: C. 120
Step-by-step explanation:
14/21 will get you 66.6. Taking that number and multiplying it by the 180 total students will end you with 120 which is your answer.
Answer: x = 8
Step-by-step explanation:
Hello again XD.
This is a coordinate plane and all the angles on a coordinate plane add up to 360°
Divide 360 by 4 to get the measurement of the section we are working in.
360/4 = 90°
This means it is complementary and complementary angles state that both separate angles added together = 90°
therefore,
6x + 2 + 40 = 90
combine like terms:
6x + 42 = 90
now subtract 42 from both sides
6x = 48
divide 6 from both sides to get:
x = 8
Let me know if you have any more questions you want answered and I hope I explained this well.
