Answer:
A linear relationship (or linear association) is a statistical term used to describe a straight-line relationship between two variables. Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b. Linear relationships are fairly common in daily life.
Step-by-step explanation:
Answer:
226.084 sq.m.
Step-by-step explanation:
Radius of circle = 18.6 cm
Area of sector = ![\frac{\theta}{360^{\circ} }\pi r^2](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctheta%7D%7B360%5E%7B%5Ccirc%7D%20%7D%5Cpi%20r%5E2)
Area of sector = ![\frac{123}{360} \times 3.14 \times (18.6)^2](https://tex.z-dn.net/?f=%5Cfrac%7B123%7D%7B360%7D%20%5Ctimes%203.14%20%5Ctimes%20%2818.6%29%5E2)
Area of sector = ![371.157 m^2](https://tex.z-dn.net/?f=371.157%20m%5E2)
Area of triangle = ![\frac{1}{2} \times a \times b \times Sin x](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20a%20%5Ctimes%20b%20%5Ctimes%20Sin%20x)
a = OA = radius = 18.6 cm
b = OB = radius = 18.6 cm
x =123 °
Substitute the values in the formula
Area of triangle = ![\frac{1}{2} \times 18.6 \times 18.6 \times Sin 123](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%2018.6%20%5Ctimes%2018.6%20%5Ctimes%20Sin%20123)
Area of triangle = ![145.073 m^2](https://tex.z-dn.net/?f=145.073%20m%5E2)
So, Area of shaded region = Area of sector - Area of triangle
=![371.157 m^2-145.073 m^2](https://tex.z-dn.net/?f=371.157%20m%5E2-145.073%20m%5E2)
=![226.084 m^2](https://tex.z-dn.net/?f=226.084%20m%5E2)
Hence the area of the shaded region is 226.084 sq.m.
Answer:
Step-by-step explanation:
Given that in a recent poll 1 of 1000 American adults, the number saying that exercise is an important part of daily life was 753.
Sample proportion = ![\frac{753}{1000} =0.753](https://tex.z-dn.net/?f=%5Cfrac%7B753%7D%7B1000%7D%20%3D0.753)
To find 90% confidence interval we must find std error of proportion first
As per central limit theorem, sample proportion will follow a normal distribution with mean = 0.753
Std error of proportion= ![\sqrt{0.753*0.247/1000} \\=0.01363](https://tex.z-dn.net/?f=%5Csqrt%7B0.753%2A0.247%2F1000%7D%20%5C%5C%3D0.01363)
90% Z critical value = 1.645
Margin of error = 1.645*0.01363 = 0.0224
Confidence interval lower bound = 0.753-0.0224=0.731
Upper bound = 0.775
Answer:
Here is the ans...hope it helps:)
Answer:
282.74
Step-by-step explanation: