Answer:
The value of the test statistic is -2.64.
Step-by-step explanation:
The test statistic is:
In which X is the sample mean, 
is the expected(claimed) mean, 
is the standard deviation and n is the size of the sample.
An automobile manufacturer claims that its van has a 40.3 miles/gallon (MPG) rating.
This means that 
After testing 250 vans, they found a mean MPG of 39.9. Assume the standard deviation is known to be 2.4.
This means, respectively, that:
So
The value of the test statistic is -2.64.
Answer:
49π sq. units
Step-by-step explanation:
Find the diagram attached
We can find the area of the given circle
Given
diameter of the circle d = 14
Area of the circle = πd²/4
Substitute the given diameter
Area of the circle = π(14)²/4
Area of the circle = 196π/4
Area of the circle = 49π sq. units
Hence the exact answer in terms of π is 49π sq. units
The volume of one die is the edge to the power of 3:
The total volume is five times the above volume:
Answer:
Answer:
See attachment for rectangle
Step-by-step explanation:
Given
Required
Draw the rectangle
First, we calculate the distance between A and B using distance formula;
So, we have:
The above represents the length of the triangle.
Next, calculate the width using:
Divide both sides by 2
This implies that, the width of the rectangle is 6 units.
We have:
Since A and B are at the upper left and right, then the ther two points are below.
6 units below each of the above point are:
=> 
=> 
Hence, the points of the rectangle are:
<em>See attachment for rectangle</em>
Answer:
12.5
Step-by-step explanation:
All I really did was divide the circumference by pi to get the diameter which you end up dividing it by two to get the radius.
