Answer: 0.4667
Step-by-step explanation:
According to 68–95–99.7 rule , About 99.7% of all data values lies with in 3 standard deviations from population mean (
).
Here , margin of error = 3s , where s is standard deviation.
As per given , we have want our sample mean
to estimate μ μ with an error of no more than 1.4 point in either direction.
If 99.7% of all samples give an
within 1.4 , it means that

Divide boths ides by 3 , we get

Hence, So
must have 0.4667 as standard deviation so that 99.7 % 99.7% of all samples give an
within 1.4 point of μ .
Perimeter of any figure is all its sides summed up
for a rectangle, with two equal pairs, that means, length + length + width + width or 2length + 2width, or 2(length + width)
but we know the length is 7/5 the width
width = w
perimeter = P

and the length is 7/5 of that
Answer:
The missing side is 9cm.
How I got my answer:
1. Squares have equal sides.
2. The area is 81cm^2, so we have to divide 81 by 9.
81 : 9 = 9cm.
Answer:
Prism A:

Prism B:

Step-by-step explanation:
Given
See attachment for prisms

Required
Determine the surface area of both prisms
Prism A is triangular and as such, the surface area is:

Where

and

Such that a, b and c are the lengths of the triangular sides of the prism.
From the attachment;

So, we have:




Also:




So:



Prism B is a rectangular prism. So, the area is calculated as:

From the attachment


So:


Answer:
132
Step-by-step explanation:
the top rectangle is 28
the middle rectangle is 56
each of the triangles are 24
48+28+56