Bella has 8 pies and she can make 2 pies in an hour. Tina has 2 pies and she can make 3 in an hour. How many hours will it take
1 answer:
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<h2>Answer with explanation:</h2>
The confidence interval for population mean is given by :-
(1)
, where = sample mean
z* = critical value.
SE = standard error
and ,
= population standard deviation.
n= sample size.
As per given , we have
n= 15
It is known that ring diameter is normally distributed.
By z-table ,
The critical value for 95% confidence = z*= 1.96
A 99% two-sided confidence interval on the true mean piston diameter :
(using (1))
[Rounded to three decimal places]
∴ A 99% two-sided confidence interval on the true mean piston diameter = (74.020, 74.022)
By z-table ,
The critical value for 95% confidence = z*= 1.96
A 95% lower confidence bound on the true mean piston diameter:
(using (1))
[Rounded to three decimal places]
∴ A 95% lower confidence bound on the true mean piston diameter= 74.020
Answer:
WXYZ can not be a rectangle because consecutive sides are not perpendicular to each other.
Step-by-step explanation:
The given vertices are W(-4,3), X(1,5), Y(3,1) and Z(-2,-1).
Plot these points on coordinate plane and draw the quadrilateral as shown below.
Using this formula, we get
Now,
Here, WX and XY are two consecutive sides of quadrilateral but the product of their slopes is not equal to -1. It means they are not perpendicular to each other.
Since, all interior angles of a rectangle are right angles, therefore, WXYZ can not be a rectangle.
