Answer:
The test statistic (z-score) of this one-mean hypothesis test is z=1.823.
Step-by-step explanation:
The null and alternative hypothesis are:

The significance level is 0.05.
The sample size is n=22.
The sample mean is M=157.
The standard deviation is 18.
The z-score can be calculated as:

The test statistic (z-score) of this one-mean hypothesis test is z=1.823.
Answer:
Where are the product of powers mentioned below?
You didn't add them to your question.
Answer:
x = q + 3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define Equation</u>
x - 3 = q
<u>Step 2: Solve for </u><em><u>x</u></em>
- Add 3 to both sides: x = q + 3
C²=a²+b²-2·a·b·cos(C)
c²=(1.5)² + (0.5) -2 ·(l·5) ·(0.5) ·cos(120°)
c²= 3.25
c= √3.25
c=1.802775638
To nearest tenth, c=1.8
Answer:
Step-by-step explanation:
In case of rectangle:
Length l = 30 cm
Width w = 14 cm
Since, circle touches the edges (lengths) of the rectangle.
Therefore,
Diameter of circle = 14 cm
So, radius r = 14/2 = 7 cm
Area of the shaded region = Area of rectangle - Area of circle
