Answer:
The answer is "0.7794".
Step-by-step explanation:
Please find the complete question in the attached file.
Given:
Hypotheses:
Testing statistics:
The test is done just so the p-value of a test is
Because the p-value of the management is large, type B can take it.
Answer:
x-intercept = 1/3, y-intercept = 1
Step-by-step explanation:
y = mx + b (general equation where m=gradient, b=constant)
-8 = 3m + b (from first pair of coordinates)
13 = -4m + b (from second pair of coordinates)
3m + b - (-4m + b) = -8 - 13
7m = -21
m = -3
Using one of the linear equations above:
-8 = 3(-3) + b
-8 = -9 + b
b = 1
Therefore, the linear equation is: y = -3x + 1
To find x-intercept:
Let y = 0
0 = -3x + 1
-1 = -3x
x = 1/3
To find y-intercept:
Let x = 0
y = -3(0) + 1
y = 1
Therefore the x-intercept = 1/3 and y-intercept = 1 for the line that passes through (3, -8) and (-4, 13)
Answer:
Simplify the expression.
Exact Form:
2560/3
Decimal Form:
853.¯3
Mixed Number Form:
853 1/3
Step-by-step explanation:
The next number in the given series is going to be 565.
2, 3, 8, 27, 112, ?
2 * 1 + 1 = 3
3 * 2 + 2 = 8
8 * 3 + 3 = 27
27 * 4 + 4 = 112
112 * 5 + 5 = 565.
Good luck :)
Answer:
<em>1+√3</em>
Step-by-step explanation:
Area of the triangle = 1/2 * base * height
Area of the triangle = 1/2 * AC * BD
We need to get AC
AC = AD+DC
Get base AD using SOH CAH TOA
tan 45 = 4/AD
AD = 4/tan45
AD = 4/1
AD = 4
Get DC
tan 30 = 4/DC
DC = 4/tan 30
DC = 4/(1/√3)
DC = 4√3
AC = 4 + 4√3
AC = 4(1+√3)
Get the Area of the triangle
<em>Area = 1/2 * 4 * 4(1+√3)</em>
<em>Area of the triangle = 1+√3</em>