Complete Question
The complete question is shown on the first uploaded image
Answer:
the null hypothesis is 
the alternative hypothesis is 
The test statistics is 
The p-value is 
so
Step-by-step explanation:
From the question we are told that
The population mean is 
The sample size is n= 38
The sample mean is 
The standard deviation is 
Generally the null hypothesis is
the alternative hypothesis is
Generally the test statistics is mathematically evaluated as
substituting values
The p-value is mathematically represented as
From the z- table
So
Since there are is not a product of known factors your best option is to leave it like this:
i√17
The area of the shape is 28 square meters
<h3>Area of composite shapes</h3>
The given shape is a composite shape that is made up of a square and a rectangle.
The area of the shape is expressed as:
Area = area of square + area of rectangle
Substitute the given dimension
area of the shape = (2*2) + (6*4)
area of the shape = 4. + 24
area of the shape. = 28 square meters
Hence the area of the shape is 28 square meters
Learn more on area of rectangle here: brainly.com/question/2607596
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Answer:
centre = (13,0)
radius = 8
Step-by-step explanation:
The standard equation of the circle is
(x-x0)^2 + (y-y0)^2 = r^2 ...............(1)
where
(x0,y0) is the centre,
r is the radius.
For
(x-13)^2 + y^2 = 64 ..............(2)
we rewrite (2)
(x-13)^2 + (y-0)^2 = 8^2 ...............(3)
and compare (3) with (1)
to identify
x0 = 13, y0 = 0, and r = 8
Therefore
centre = (13,0)
radius = 8
Answer:
ACB = 85
Step-by-step explanation:
First find x:
10+ x + 60 = 120 - x
x + 70 = 120 - x
Add x to both sides
2x + 70 = 120
subtract 70 from 120
2x = 50
Divide 2 from both sides
x = 25
10 + 25 + 60 = 95
Subtract 95 from 180
ACD = 85
