Answer:
6777777777777759
Step-by-step explanation:
Answer:
2x^{2}-3x-5 = 0
use the formula (b/2)^2 in order to create a new term. Solve for x by using this term to complete the square.
x= 5/2, -1
Answer:
Dependent variable
Step-by-step explanation:
The outcome variable (usually Y) in a regression analysis is called the ________.
c) dependent variable
If there are two variables and there is a linear correlation between them we try to find the regression line by using least squares method.
X the variable which is input or which is first found out is called independent variable.
The outcome variable is the dependent variable
Dummy variable is one which takes only values 0 or 1 depending on whether not present or present.
Answer:
Step-by-step explanation:
The quadrilateral has 4 sides and only two of them are equal.
A) to find PR, we will consider the triangle, PRQ.
Using cosine rule
a^2 = b^2 + c^2 - 2abcos A
We are looking for PR
PR^2 = 8^2 + 7^2 - 2 ×8 × 7Cos70
PR^2 = 64 + 49 - 112 × 0.3420
PR^2 = 113 - 38.304 = 74.696
PR = √74.696 = 8.64
B) to find the perimeter of PQRS, we will consider the triangle, RSP. It is an isosceles triangle. Therefore, two sides and two base angles are equal. To determine the length of SP,
We will use the sine rule because only one side,PR is known
For sine rule,
a/sinA = b/sinB
SP/ sin 35 = 8.64/sin110
Cross multiplying
SPsin110 = 8.64sin35
SP = 8.64sin35/sin110
SP = (8.64 × 0.5736)/0.9397
SP = 5.27
SR = SP = 5.27
The perimeter of the quadrilateral PQRS is the sum of the sides. The perimeter = 8 + 7 + 5.27 + 5.27 = 25.54 cm
