Answer: Surface area = 29.32 inches²
Step-by-step explanation:
The surface area is the sum of areas of the faces. There are two triangular faces and three rectangular faces.
The formula for determining the area of a triangle is expressed as
Area = 1/2 × base × height
Base = 2 inches
Height = 2 inches
Area = 1/2 × 2 × 2 = 2 inches²
Area of the 2 triangular faces
= 2 × 2 = 4 inches²
The area of the two equal rectangles is
Area = 2 × 2 × 4 = 16 inches²
To determine the width, w of the rectangular base, we would apply Pythagoras theorem.
Hypotenuse ² = opposite side² + adjacent side²
w² = 2² + 2²
w² = 4 + 4 = 8
w = √8 = 2.83
Area of the rectangular base is
2.83 × 4 = 11.32 inches²
Surface area = 4 + 16 + 11.32 = 31.32 inches²
Answer:
Mean: 0.400
Standard error: 0.022
Step-by-step explanation:
We are taking samples of size n=500 out of a population with parameter p=0.40.
The expected distribution is the sampling distribution of sampled proportions. This distribution has parameters that are calculated as:
Mean: the mean of the sampling distribution is equal to the population proportion, as it is not biased.
In this case, the mean of this sampling distribution is p=0.40.
Standard error: the standard error depends on the population proportion and the sample size. It is calculated as:
being p: population proportion, N: sample size.
Taylor can have 12 guests come.
375 - 250 = 125 / 10 = 12.5 but since you cannot have half a person the answer is 12
I hope this helps :)
Answer:
Step-by-step explanation:
i think you are talking about the diameter of the circle.
equation of the circle is
(x-1)(x+3)+(y-8)(y-2)=0
x^{2}-x+3x-3+y^{2}-8y-2y+16=0
or x^{2}+y^{2}+2x-10y+13=0
